Hawking Thermal Spectrum Research Articles

GUP black hole remnants in quadratic gravity

The Hawking radiation of static, spherically symmetric, asymptotically flat solutions in quadratic gravity is here scrutinized, in the context of the generalized uncertainty principle (GUP). Near-center and near-horizon Frobenius expansions of these solutions are studied. Their Hawking thermal spectrum is investigated out of the tunnelling method and the WKB procedure. Computing the Hawking flux of these black hole solutions shows that, for small black holes and for a precise combination of the GUP parameter and the parameters that govern the gravitational interaction in quadratic gravity, the black hole luminosity can vanish. This yields absolutely stable mini black hole remnants in quadratic gravity.

Generalised uncertainty principle Hawking fermions from minimally geometric deformed black holes

We derive the Hawking spectrum of fermions emitted by a minimally geometric deformed (MGD) black hole. The MGD naturally describes quantum effects on the geometry in the form of a length scale related, for instance, to the existence of extra dimensions. The dynamics of the emitted fermions is described in the context of the generalised uncertainty principle and likewise contains a length scale associated with the quantum nature of space-time. We then show that the emission is practically indistinguishable from the Hawking thermal spectrum for large black hole masses, but the total flux can vanish for small and finite black hole mass. This suggests the possible existence of black hole remnants with a mass determined by the two length scales.

κ-Rindler space

In this paper we construct, and investigate some thermal properties of, the noncommutative counterpart of Rindler space, which we call {kappa}-Rindler space. This space is obtained by changing variables in the defining commutators of {kappa}-Minkowski space. We then rederive the commutator structure of {kappa}-Rindler space with the help of an appropriate star product, obtained from the {kappa}-Minkowski one. Using this star product, following the idea of Padmanabhan, we find the leading order, 1/{kappa} correction to the Hawking thermal spectrum.

Hawking radiation via tunneling from hot NUT–Kerr–Newman–Kasuya spacetime

We study the Hawking thermal spectrum in dragging coordinate system and the tunneling radiation characteristics of hot NUT–Kerr–Newman–Kasuya spacetime. The tunneling rates at the event and cosmological horizons are found to be related to the change of Bekenstein–Hawking entropy. The radiation spectrum is not pure thermal and thus there is a correction to the Hawking thermal spectrum.

The Tunneling Radiation Characteristics of Kerr-Newman de Sitter Black Hole

The strictly thermal spectrum in dragging coordinate system and the tunneling radiation characteristics of stationary axisymmetry Kerr-Newman de Sitter black hole is studied. The result shows that the tunneling rates at the event and cosmological horizon are related to the change of Bekenstein-Hawking entropy and that the factual radiation spectrum is not strictly pure thermal. Thus an exact correction to the Hawking thermal spectrum is present.

Particle production in time-dependent gravitational fields: the expanding mass shell

We compute the production of particles from the gravitational field of an expanding mass shell. Contrary to the situation of Hawking radiation and the production of cosmological perturbations during cosmological inflation, the example of an expanding mass shell has no horizon and no singularity. We apply the method of ‘ray-tracing’, first introduced by Hawking, and calculate the energy spectrum of the produced particles. The result depends on three parameters: the expansion velocity of the mass shell, its radius and its mass. Contrary to the situation of a collapsing mass shell, the energy spectrum is non-thermal. Invoking time reversal we reproduce Hawking's thermal spectrum in a certain limit.

Hawking Radiation of Dirac Particles in a Nonuniformly Rectilinearly Accelerating Black Hole

The Hawking radiation of Dirac particles on the event horizon of a nonuniformly rectilinearly accelerating black hole is studied in this paper. First, we construct the symmetrized null tetrad from which the spin coefficients and Dirac equation are derived. Next, by proposing generalized tortoise coordinate transformation, the decoupling problem of the Dirac equation with nonzero rest mass is solved. Finally, by analytic continuation, the Hawking thermal spectrum formula of Dirac particle for nonuniformly rectilinearly accelerating black hole is obtained.

Hawking Radiation of Dirac Particles in an Arbitrarily Accelerating Kinnersley Black Hole

Quantum thermal effect of Dirac particles in an arbitrarily accelerating Kinnersley black hole is investigated by using the method of generalized tortoise coordinate transformation. Both the location and the temperature of the event horizon depend on the advanced time and the angles. The Hawking thermal radiation spectrum of Dirac particles contains a new term which represents the interaction between particles with spin and black holes with acceleration. This spin-acceleration coupling effect is absent from the thermal radiation spectrum of scalar particles.

Quantum thermal effect of Dirac particles in a nonuniformly rectilinearly accelerating black hole with electronic charge, magnetic charge and cosmological constant

The Hawking radiation of Dirac particles in an arbitrarily rectilinearly accelerating Kinnersley black hole with electromagnetic charge and cosmological constant is investigated by using the generalized tortoise coordinate transformation. Both the location and the temperature of the event horizon depend on the time and the polar angle. The Hawking thermal radiation spectrum of Dirac particles is also derived.

THE QUANTUM THERMAL EFFECT OF THE CHARGED, AXIALLY SYMMETRIC NONSTATIONARY BLACH HOLE

The Hawking radiation for a charged axially symmetric nonstationary black hole is studied. We obtain the event horizon equation and the Hawking thermal spectrum formula. Both the shape and the temperature of the black hole depend on the time and the angle. They can reduce to the well-known results when there is no electric charge.

Quantum thermal effect of arbitrarily accelerating Kinnersley black hole

The Hawking radiation of an arbitrarily accelerating Kinnersley black hole is studied. We obtain the event horizon equation and the Hawking thermal spectrum formula. Both the location and the temperature of the event horizon depend on the time and the angles. We recover the well-known results when the acceleration vanishes.

Quantum field theory in black hole-type spacetimes with horizons

Using quantum field theory in black hole-type spacetimes with horizons, which includes all the black hole solutions and also some other interesting solutions in general relativity, we obtain Hawking's thermal spectrum of Dirac particles near the event horizon as well as the cosmological horizon of the spacetime.

Study of Hawking effect in Vaidya-Bonner black hole by means of second quantization

Hawking thermal spectrum of a spherically charged evaporating black hole can be obtained by means of the second quantization and Bogolubov transformation on Klein-Gordon scalar field near the event horizon of Vaidya-Bonner space-time. It is shown that the ingoing vacuum state becomes an outgoing state involving thermal particles after scattering on the surface of horizon. These particles show Planck spectrum whose temperature is T.

Quantum thermal effect of arbitrarily accelerating black hole with electric and magnetic charges

The Hawking radiation for an arbitrarily accelerating black hole with electric and magnetic charges is investigated. Expressions for the event horizon and the Hawking thermal spectrum are given. Both the figure and the temperature depend on both the time and the angles. The expressions reduce to the well-known results for the particular cases of zero acceleration, acceleration along a straight line, zero electric charge or zero magnetic field.

Damour-Ruffini and Unruh theories of the Hawking effect

Internal relations between the Damour-Ruffini approach and the Unruh approach to dealing with the Hawking effects are shown. The Unruh-type analytical wave functions can be obtained by means of the analytical continuation method suggested by Damour and Ruffini. In fact, Unruh-type analytical wave functions are complex conjugate functions of Damour-Ruffini type. Normalizing each of them, or making use of them to construct the Bogoliubov transformation, one can get the same Hawking thermal spectrum. The pure state wave function defined on the connected complexr space-time manifold is a mixture showing thermal properties in the realr space-time manifold, which is divided into two parts by the event horizon.

HAWKING RADIATION OF CHARGED DIRAC PARTICLES IN GENERAL SPHERICALLY SYMMETRIC AND NON-STATIC SPACE-TIME

Hawking radiation of charged Dirac particles near the event horizons of the general spherically symmetric and non-static black holes is studied. We obtain the equation determining the location of event horizon, the radiation temperature function and the Hawking thermal spectrum formula.

Hawking radiation of Dirac particles in the hot NUT-Kerr-Newman spacetime

The Hawking radiation of charged Dirac particles on the horizons of the hot NUT-Kerr-Newman spacetime is studied in this paper. To this end, we obtain the radial decoupled Dirac equation for the electron in the hot NUT-Kerr-Newman spacetime. Next we solve the Dirac equation near the horizons. Finally, by analytic continuation, the Hawking thermal spectrum formula of Dirac particles is obtained. The problem of the Hawking evaporation of Dirac particles in the hot NUT-Kerr-Newman background is thus solved.

Thermal particle creation in the NUT-Kerr-Newman spacetime

The author obtains the radial decoupled Dirac equation in the NUT-Kerr-Newman spacetime and then study the Hawking thermal spectrum near the horizon of the metric.

THE HAWKING RADIATION OF CHARGED DIRAC PARTICLES IN KERR-NEWMAN SPACETIME

The Hawking radiation of charged Dirac particles on event horizon of Kerr-Newman black holes is studied in this paper. First, we construct the symmetrized null tetrad from which the symmetrized spin coefficients and Dirac equation are derived. Next, we solve the Dirac equation near the event horizon and get the four component ingoing and outgoing wave functions. Finally, by analytic continuation, the Hawking thermal spectrum formula of Dirac particles for arbitrary Kerr-Newman black holes is obtained.