Abstract
This article is devoted to the study of new exact analytical solutions in the background of Reissner–Nordström space-time by using gravitational decoupling via minimal geometric deformation approach. To do so, we impose the most general equation of state, relating the components of the theta -sector in order to obtain the new material contributions and the decoupler function f(r). Besides, we obtain the bounds on the free parameters of the extended solution to avoid new singularities. Furthermore, we show the finitude of all thermodynamic parameters of the solution such as the effective density {tilde{rho }}, radial {tilde{p}}_{r} and tangential {tilde{p}}_{t} pressure for different values of parameter alpha and the total electric charge Q. Finally, the behavior of some scalar invariants, namely the Ricci R and Kretshmann R_{mu nu omega epsilon }R^{mu nu omega epsilon } scalars are analyzed. It is also remarkable that, after an appropriate limit, the deformed Schwarzschild black hole solution always can be recovered.
Highlights
The well known Schwarzschild black hole has an essential singularity at r = 0 protected by an event horizon at r = 2M
The more general solution for these impressive structures are characterized by three conserved charges: (i) the mass M, (ii) the electric charge Q and (iii) the angular momentum J
The above is true, the Schwarzschild solution is described only by the mass M parameter, the Reissner–Nordström solution [2,3] is characterized by mass M and electric charge Q, whereas the Kerr space-time [4] is painted by mass M and angular momentum J charges
Summary
The so-called scaledependent scenario (which is asymptotic safety inspired) accounts quantum effects via the running of the gravitational coupling [17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34] Both methods modify the classical BH solutions assuming that the coupling parameters are not constants anymore. Intriguing proposals on corpuscular structure for such objects has been recently producing new insights questioning the mere structures of black holes (see [35] for a nice review) Following this bridge between quantum information, condense matter formalism and effective field approximations, new solutions for Schwarzschild [36] or Reissner–Nöstrom metrics has been derived [37].
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