Corrected Hawking Temperature Research Articles

Quantum Gravity Evolution of the Kalb–Ramond like black hole

In this study, we use the Newman–Janis algorithm to investigate the Kalb–Ramond spacetime solutions and the spin parameter is added by the Newman–Janis algorithm. Firstly, we compute the temperature of Kalb–Ramond like black hole with spin parameter to use a quantum tunneling technique, which is obtained by using the surface gravity. We examine the thermodynamics like Hawking temperature and entropy of a Kalb–Ramond like black hole with first order quantum corrections. We first obtain the corrected Hawking temperature through a semi-classical technique by using the Lagrangian equation in the WKB approximation. Moreover, we examine logarithmic corrected entropy for spinning black hole and graphically analyze the effects of spin, correction and Lorentz parameters on the corrected temperature and logarithmic corrected entropy.

Fermions dynamic equation with Lorentz invariance violation and the corrected Hawking temperature in arbitrarily accelerating black hole* *Supported by the National Natural Science Foundation of China under Grant No. U2031121.

Containing Lorentz invariance violation (LIV), a new form of the fermions dynamic equation under the background of the curved space-time of the arbitrarily accelerating black hole, is studied. Firstly, we consider the new form of the fermions dynamic equation with arbitrary spin containing LIV in curved space-time, and research the fermions dynamic equation with spin containing LIV. On this basis, according to the semi-classical theory and black hole quantum tunneling radiation theory, the quantum tunneling radiation of the arbitrarily accelerating Kinnersly black hole is modified correctly, and the corrected physical quantities such as black hole temperature and quantum tunneling rate are deeply discussed. The fermions dynamic equation with arbitrary spin in the arbitrarily accelerating black hole space-time and its solution are explained in detail. In order to further obtain the correction effect of the Planck scale, this article considers beyond the semi-classical theory and further obtains new expressions of the black hole temperature and tunneling radiation rate.

Note on the Corrected Hawking Temperature of a Parametric Deformed Black Hole with Influence of Quantum Gravity

In this paper, using the Hamilton-Jacobi method, we discuss the tunnelling of fermions when the dual influence of quantum gravity and the deformation of a parameterized black hole are taken into account. With the influence of the generalized uncertainty principle, there exists an offset around the standard Hawking temperature. We investigate a parametric deformed black hole and find that the corrected temperature is lower than the standard one, so there exists a remnant of the black hole, and the correction is not only determined by the mass and the energy of the emitted fermion but also determined by the mass of the black hole and the deformation parameter. Under the dual influence of quantum gravity and deformation, the correction effect of quantum gravity is the main influencing factor, while the correction effect of the deformation parameter is secondary. For both the massive and massless cases, the quantum gravity correction factor is only determined by the energy of the emitted fermion, while the deformation correction factor is only determined by the mass of the black hole.

GUP-corrected thermodynamics and remnant of a black hole in Horndeski theory

This paper is devoted to study the effects of the generalized uncertainty principle (GUP) on Hawking radiation of scalar particles and fermions tunneling of Babichev–Charmousis black hole by using Hamilton–Jacobi method. To this end, we modify the Klein–Gordon equation (K-G equation) and Dirac equation firstly on account of GUP. Then, we apply the semiclassical WKB approximation to derive the corrected Hawking temperature of scalar particles and fermions tunneling process and corresponding corrected thermodynamics quantities of this black hole. We find that the corrected temperature depends on GUP parameter [Formula: see text]. Furthermore, the existence of minimal mass and minimal entropy implies that when the evaporation of the black hole stops, it will leave a remnant.

Tunneling analysis of Kerr–Newman black hole-like solution in Rastall theory

Hamilton–Jacobi ansatz is used to analyze boson charged particles tunneling in Rastall gravity Kerr–Newman black hole (BH) surrounded by perfect fluid matter through the horizon. The geometrical BH parameters are observed, how these are affecting the radiation utilizing the Lagrangian gravity equation. In this paper, the corrected Hawking temperature is computed by considering the effects of quantum gravity. In our analysis, the Rastall gravity BH solution surrounded by perfect fluid matter effects on Hawking radiation is analyzed graphically. Moreover, the stability and instability of Rastall gravity BH are investigated. The influence of quantum gravity and rotation parameters on BH radiation are also observed by graphical representation.

Deriving the Hawking Temperature of (Massive) Global Monopole Spacetime via a Topological Formula.

In this work, we study the Hawking temperature of the global monopole spacetime (non-spherical symmetrical black hole) based on the topological method proposed by Robson, Villari, and Biancalana (RVB). By connecting the Hawking temperature with the topological properties of black holes, the Hawking temperature of the global monopole spacetime can be obtained by the RVB method. We also discuss the Hawking temperature in massive gravity, and find that the effect of the mass term cannot be ignored in the calculation of the Hawking temperature; the corrected Hawking temperature in massive gravity can be derived by adding an integral constant, which can be determined by the standard definition.

Quantum gravity evolution in the Hawking radiation of a rotating regular Hayward black hole

In this paper, we study two different phenomena (the Newman-Janis algorithm and the semiclassical Hamilton-Jacobi method) to analyze the Hawking temperature ($T_H$) for massive $4$-dimensional regular Hayward BH with spin parameter. First of all, we compute the rotating regular Hayward black hole solution by taking the Newman-Janis algorithmic rule. We derive the $T_H$ for rotating regular Hayward BH with the help of surface gravity. We have also analyzed the effects of spin parameter $a$ and free parameter $l$ on $T_H$ with the help of graphs. Moreover, we investigate the quantum corrected Hawking temperature ($T'_H$) for rotating regular Hayward black hole. To do so, we utilize the Lagrangian filed equation in the background of GUP within the concept of WKB approximation and semiclassical Hamilton-Jacobi method. The $T'_H$ of rotating regular Hayward BH depends upon correction parameter $\beta$, BH mass $m$, spin parameter $a$, free parameter $l$ and BH radius $r_+$. We also study the graphical behavior of $T'_H$ versus event horizon $r_+$ for rotating regular Hayward BH and check the influences of quantum gravity parameter $\beta$, spin parameter $a$ and free parameter $l$ on the stability of corresponding black hole. Moreover, we study the significance's of logarithmic entropy correction for regular rotating Hayward BH.

Tunneling analysis under the influences of Einstein–Gauss–Bonnet black holes gravity theory

We consider an equation of motion for Glashow–Weinberg–Salam model and apply the semiclassical Hamilton–Jacobi process and WKB approximation in order to compute the tunneling probability of W-bosons in the background of electromagnetic field to analyze the quantum gravity effects of charged black hole(BH) in Einstein–Gauss–Bonnet gravity theory. After this, we examine the quantum gravity influences on the generalized Lagrangian field equation. We make clear that quantum gravity effects leave the remnants on the tunneling radiation becomes non-thermal. Moreover, we analyze the graphical behavior of quantum gravity influences on corrected Hawking temperature for spin-1 particles for charged BHs.

Black hole thermodynamics in the presence of a maximal length and minimum measurable in momentum

In this work, incorporating the effect of the minimum measurable in momentum and maximal length, we studied the thermodynamics property of the Schwarzschild black hole and the Unruh effect. According to this scenario, we see that the black hole temperature cannot be smaller than a certain minimum value . Moreover, we find that black hole mass cannot be larger than a maximum mass value . Considering these findings first we compute the corrected Hawking temperature vs. the mass and examine its characteristic behavior. Then, we derive the black hole's entropy and heat capacity. We find that the black hole is stable when . Finally, we examined the modified Unruh effect. We find that the modified Unruh temperature explicitly depends on α.

The effect of GUP on thermodynamic phase transition of Rutz-Schwarzschild black hole

In this paper, considering the influence of generalized uncertainty principle, we explore phase transitions of the Rutz-Schwarzschild black hole based on the Parikh-Wilczek tunneling method. First, we obtain the corrected Hawking temperature, local temperature, remnant of black hole, entropy, heat capacity and other thermodynamic quantities. Then, we analyzed the effects of generalized uncertainty parameter β on phase transition. And we investigate thermodynamic stability, the critical behavior and phase transition structure under the influence of generalized uncertainty principle at last. The results show that there are first-order and second-order phase transitions in the Rutz-Schwarzschild black hole of the Finsler genometry framework. In addition, the generalized uncertainty parameter has great influence on the generation of black hole remnant.

Thermodynamic Phase Transition of the Spherically Black Hole with Global Monopole Under GUP

In this paper, considering the influence of the principle of generalized uncertainty (GUP), the phase transition of a Schwarzschild black hole with global monopole is discussed. First, we use the generalized Dirac equation to obtain corrected Hawking temperature, local temperature, black hole residues, black hole entropy, thermal capacity, and other thermodynamic quantities. Then, we analyze the effects of generalized uncertainty parameters and the monopole parameter on phase transitions. Finally, we study the thermodynamic stability and phase transition structure under the influence of GUP. The results show that, for the black hole with global monopole, there are first–order and second–order phase transitions. In addition, the general uncertainty parameter and monopole parameter will affect the black hole residues.

Quantum gravity correction to the thermodynamic quantities of the charged dRGT black hole

In this study, in the framework of the Hamilton approach, the quantum gravity effect on Hawking temperature, on the specific heat capacity, and on the stability conditions of the charged de Rham, Gabadadze, and Tolley (dRGT) black hole are investigated by using the tunneling processes of both charged massive scalar and Dirac particles. It is shown that quantum corrected Hawking temperature depends not only on the black hole properties but also on the properties of the tunnelling particles. It is also observed that quantum corrected Hawking temperature is lower than that of the standard Hawking temperature. Also, the specific heat capacity and the local stability conditions of the black hole are discussed in the context of the tunneling processes of both charged massive scalar and Dirac particles in the presence of quantum gravity effect. It is observed that the black hole might undergo second-type phase transitions to become stable during the tunneling processes of both scalar and Dirac particles. However, in the absence of the quantum gravity effect, the black hole might undergo the both first-type and second-type phase transitions to become stable.

Tunneling of massive vector particles under influence of quantum gravity * * A. Ö. acknowledges financial support provided under the Chilean FONDECYT (3170035)

This study set out to investigate charged vector particles tunneling via horizons of a pair of accelerating rotating charged NUT black holes under the influence of quantum gravity. To this end, we use the modified Proca equation incorporating generalized uncertainty principle. Applying the WKB approximation to the field equation, we obtain a modified tunneling rate and the corresponding corrected Hawking temperature for this black hole. Moreover, we analyze the graphical behavior of the corrected Hawking temperature with respect to the event horizon for the given black hole. By considering quantum gravitational effects on Hawking temperatures, we discuss the stability analysis of this black hole. For a pair of black holes, the temperature increases with the increase in rotation parameters a and , correction parameter , black hole acceleration , and arbitrary parameter k, and decreases with the increase in electric e and magnetic charges g.

Vector particles tunneling in the background of quintessential field involving quantum effects

In this paper, we investigate the Hawking radiation process by using the quantum tunneling phenomenon of massive spin-1 (W-bosons) and spin-0 particles from Kerr-Newman-AdS black hole with quintessence. For this purpose, using Hamilton-Jacobi ansatz, we apply the WKB approximation to the field equations of massive charged vector and scalar particles. We get the required tunneling rate of radiated particles and obtain their corresponding Hawking temperatures, T¯H. In order to study the quantum gravity effects, we utilize the generalized Proca and Klein-Gordan equations incorporating the generalized uncertainty principle and recover the accompanying quantum corrected Hawking temperature, T¯e−H. Further, for state parameter ω¯=−23, we analyze the graphical behavior of original temperature T¯H with respect to the event horizon and quintessence parameter α. Moreover, we investigate the effects of cosmological constant Λ¯, quintessence parameter α¯, BH charge Q¯ and rotation parameter a¯ on T¯H. The graphical interpretation of temperature T¯H specifies some stable and unstable regions. We discuss the stability and instability of black hole in 2-dimensional (2D) and 3-dimensional (3D) plots.

Hawking radiation of charged fermions from accelerating and rotating black holes with generalized uncertainty principle

By considering the quantum gravity effects based on generalized uncertainty principle, we give a correction to Hawking radiation of charged fermions from accelerating and rotating black holes. Using Hamilton–Jacobi approach, we calculate the corrected tunneling probability and the Hawking temperature. The quantum corrected Hawking temperature depends on the black hole parameters as well as quantum number of emitted particles. It is also seen that a remnant is formed during the black hole evaporation. In addition, the corrected temperature is independent of an angle [Formula: see text] which contradicts the claim made in the literature.

Hawking radiation from cubic and quartic black holes via tunneling of GUP corrected scalar and fermion particles

We analyze the effect of the generalized uncertainty principle (GUP) on the Hawking radiation from the hairy black hole in U(1) gauge-invariant scalar–vector–tensor theory by utilizing the semiclassical Hamilton–Jacobi method. To do so, we evaluate the tunneling probabilities and Hawking temperature for scalar and fermion particles for the given spacetime of the black holes with cubic and quartic interactions. For this purpose, we utilize the modified Klein–Gordon equation for the Boson particles and then Dirac equations for the fermion particles, respectively. Next, we examine that the Hawking temperature of the black holes do not depend on the properties of tunneling particles. Moreover, we present the corrected Hawking temperature of scalar and fermion particles which look similar in both interactions, but there are different mass and momentum relationships for scalar and fermion particles in cubic and quartic interactions.

Fermion’s Tunneling from a Kehagias-Sfetsos Spacetime Based on Generalized Uncertainty Principle

In this paper, taking into account the effects of quantum-gravity, applying the modified Dirac equation in curved spacetime based on generalized uncertainty principle (GUP) close to Planck scale, we successfully investigate the quantum tunneling behavior and remnant from a Kehagias-Sfetsos spacetime and eventually obtain corrected tunneling rate and Hawking temperature. The result shows that the corrected Hawking tunneling temperature is related not only to the background of the Kehagias-Sfetsos spacetime and the energy of emitted particle, but also to the GUP parameter. We also discuss minimum radius and minimum non-zero mass by using the numerical method.

Fermions Tunneling and Quantum Corrections for Quintessential Kerr-Newman-AdS Black Hole

This paper is devoted to study charged fermion particles tunneling through the horizon of Kerr-Newman-AdS black hole surrounded by quintessence by using Hamilton-Jacobi ansatz. In our analysis, we investigate Hawking temperature as well as quantum corrected Hawking temperature on account of generalized uncertainty principle. Moreover, we discuss the effects of correction parameterβon the corrected Hawking temperatureTe-H, graphically. We conclude that the temperatureTe-Hvanishes whenβ=100, whereas forβ<100andβ>100, the temperature turns out to be positive and negative, respectively. We observe that the graphs ofTe-Hw.r.t. quintessence parameterαexhibit behavior only for the particular ranges, i.e.,0<α<1/6, charge0<Q≤1, and rotation parameter0<a≤1. For smaller and larger values of negativeΛ, as horizon increases, the temperature decreases and increases, respectively.

Lorentz-violating theory and tunneling radiation characteristics of Dirac particles in curved spacetime of Vaidya black hole

In this paper, the modified Hawking radiation for Dirac particles via tunneling from the apparent horizon of Vaidya black hole is studied by using the Lorentz-violating Dirac field theory. We first extend the gamma matric from flat spacetime to the curved spacetime in the Lorentz-violating Dirac field theory, and generalize the general derivative to the covariant derivative. Then, by considering the commutative relation of the gamma matric, the Dirac equation in the Lorentz-violating Dirac field theory is obtained, which contains three correction terms related to the Lorentz-symmetry violation. In the semiclassical approximation, the modified Hamilton-Jacobi equation is obtained by using the commutative relation of gamma matric and treating the aether-like vector in the Lorentz-violating theory as a constant. We find that the modified Hamilton-Jacobi equation contains only two correction terms based on the Lorentz-symmetry violation, i.e. the corrected term containing the parameter <i>a</i> affects the mass term of the Dirac field, and the aether-like term containing the parameter <i>c</i> modifies the coefficient term of the action <i>S</i> of the separating variable. According to the modified Hamilton-Jacobi equation, we study the effect of Lorentz-symmetry violation on the characteristics of Hawking radiation for Dirac particles via tunneling from the apparent horizon <i>r</i><sub>a</sub> = 2<i>M</i>(<i>v</i>) of Vaidya black hole (the apparent horizon of Vaidya black hole coincides with the timelike limit surface, so the apparent horizon can be regarded as the boundary of Vaidya black hole). Since the Hawking tunneling radiation of black holes is the radial property at the horizon of black holes, we finally find that only the aether-like term containing the parameter <i>c</i> can modify the characteristics of Dirac particles’ tunneling radiation from the black hole. In addition, the corrected Hawking temperature of the black hole caused by considering the effect on the Lorentz-violating Dirac field theory has a small correction related to the aether-like term, which is consistent with the results obtained by studying the characteristics of Hawking tunneling radiation for scalar particles in the Lorentz-violating scalar field theory. The results suggest that the Lorentz-symmetry violation theory may provide a new method to further study the information loss paradox of black holes.

Quantum gravity effects on scalar particle tunneling from rotating BTZ black hole

Tunneling of scalar particles across the event horizon of rotating BTZ black hole is investigated using the Generalized Uncertainty Principle to study the corrected Hawking temperature and entropy in the presence of quantum gravity effects. We have determined explicitly the various correction terms in the entropy of rotating BTZ black hole including the logarithmic term of the Bekenstein–Hawking entropy [Formula: see text], the inverse term of [Formula: see text] and terms with inverse powers of [Formula: see text], in terms of properties of the black hole and the emitted particles — mass, energy and angular momentum. In the presence of quantum gravity effects, for the emission of scalar particles, the Hawking radiation and thermodynamics of rotating BTZ black hole are observed to be related to the metric element, hence to the curvature of space–time.