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One considers phase-space noncommutativity in the context of a Kantowski-Sachs cosmological model to study the interior of a Schwarzschild black hole. It is shown that the potential function of the corresponding quantum cosmology problem…

General Relativity and Quantum Cosmology · Physics 2015-05-20 C. Bastos , O. Bertolami , N. C. Dias , J. N. Prata

In this paper we study noncommutative black holes. We use a diffeomorphism between the Schwarzschild black hole and the Kantowski-Sachs cosmological model, which is generalized to noncommutative minisuperspace. Through the use of the…

High Energy Physics - Theory · Physics 2009-11-11 J. C. Lopez-Dominguez , O. Obregon , C. Ramirez , M. Sabido

We consider a cosmological model based upon a non-canonical noncommutative extension of the Heisenberg-Weyl algebra to address the thermodynamical stability and the singularity problem of both the Schwarzschild and the Kantowski-Sachs black…

High Energy Physics - Theory · Physics 2011-07-08 Catarina Bastos , Orfeu Bertolami , Nuno Costa Dias , João Nuno Prata

In this paper, we used the non-commutative (NC) gauge theory of gravity to investigate the thermodynamic properties of a deformed Schwarzschild black hole (SBH). Our results present a new scenario of black hole evaporation. As a first step,…

General Relativity and Quantum Cosmology · Physics 2023-10-04 Abdellah Touati , Slimane Zaim

In this work, we investigate the phase transition of the Schwarzschild black hole (SBH) inside an isothermal spherical cavity in the context of the non-commutative (NC) gauge theory of gravity, by using the Seiberg-Witten (SW) map and the…

General Relativity and Quantum Cosmology · Physics 2024-11-08 Abdellah Touati , Slimane Zaim

A phase-space noncommutativity in the context of a Kantowski-Sachs cosmological model is considered to study the interior of a Schwarzschild black hole. Due to the divergence of the probability of finding the black hole at the singularity…

High Energy Physics - Theory · Physics 2011-09-28 C. Bastos , O. Bertolami , N. C. Dias , J. N. Prata

We study the interior of a Schwarzschild Black-Hole (B-H) using Relativistic Quantum Geometry described in \cite{rb} and \cite{rb1}. We found discrete energy levels for a scalar field from a polynomial condition for Heun Confluent functions…

General Relativity and Quantum Cosmology · Physics 2021-08-16 Juan Ignacio Musmarra , Mauricio Bellini , Mariano Anabitarte

We study the effects of noncommutative spaces on the horizon, the area spectrum and Hawking temperature of a Schwarzschild black hole. The results show deviations from the usual horizon, area spectrum and the Hawking temperature. The…

High Energy Physics - Theory · Physics 2009-11-11 Forough Nasseri

{In (Sci. Rep. \textbf{12}, 8516 (2022)), Campos et al studied} the quasinormal modes and shadows of noncommutative Schwarzschild black holes. Since we know that the quintessence matter surrounding black holes has { significant effects} on…

General Relativity and Quantum Cosmology · Physics 2024-04-11 B. Hamil , B. C. Lütfüoğlu

In this paper, we investigated the thermodynamic properties of Schwarzschild black hole (SBH) in the non-commutative (NC) gauge theory of gravity. According to our previous work, we modify the first law of the black hole (BH) thermodynamics…

General Relativity and Quantum Cosmology · Physics 2023-10-06 Abdellah Touati , Slimane Zaim

This paper considers the effects of space noncommutativity on the thermodynamics of a Reissner-Nordstr\"{o}m black hole. In the first step, we extend the ordinary formalism of Bekenstein-Hawking to the case of charged black holes in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kourosh Nozari , Behnaz Fazlpour

We use the solutions of the noncommutative Wheeler-De Witt equation arising from a Kantowski-Sachs cosmological model to compute thermodynamic properties of the Schwarzschild black hole. We show that the noncommutativity in the momentum…

General Relativity and Quantum Cosmology · Physics 2013-05-29 C. Bastos , O. Bertolami , N. C. Dias , J. N. Prata

Black hole thermodynamics is the area of study that seeks to reconcile the laws of thermodynamics with the existence of black hole event horizons. Here we calculate the entropy corresponding to the interior of a Schwarzschild black hole for…

General Physics · Physics 2019-02-28 Sandip Dutta , Ritabrata Biswas

In this paper, we successfully derive the Bekenstein-Hawking entropy for Schwarzschild black holes in various dimensions by using a non-trivial phase space. It is appealing to notice that the thermodynamics of a Schwarzschild black hole…

General Relativity and Quantum Cosmology · Physics 2020-05-05 Yong Xiao

In this work, we investigate the physical and geometrical properties of a Schwarzschild black hole (BH) immersed in a Hernquist dark matter halo. To accomplish our purpose, one builds the BH metric by incorporating the Hernquist dark matter…

General Relativity and Quantum Cosmology · Physics 2026-05-26 A. R. P. Moreira , A. Bouzenada , F. M. Belchior , F. C. E. Lima

Taking the nonextensive Tsallis and R\'enyi entropies into account, we explore thermodynamic properties and phase transitions of the Kerr-Newman black holes (KNBH) in the microcanonical and canonical ensembles. We also compare our results…

High Energy Physics - Theory · Physics 2025-03-25 S. Ghaffari , G. G. Luciano , A. Sheykhi

It has recently been argued that non-trivial Brans-Dicke black hole solutions different from the usual Schwarzschild solution could exist. We attemt here to ``censor'' these non-trivial Brans-Dicke black hole solutions by examining their…

General Relativity and Quantum Cosmology · Physics 2011-04-20 Hongsu Kim

In this letter, we present the first study of Hawking radiation as a tunneling process within the framework of non-commutative (NC) gauge theory of gravity. First, we reconstruct the non-commutative Schwarzschild black hole (NC SBH) within…

General Relativity and Quantum Cosmology · Physics 2023-11-28 Abdellah Touati , Slimane Zaim

A semi-classical reasoning leads to the non-commutativity of the space and time coordinates near the horizon of Schwarzschild black hole. This non-commutativity in turn provides a mechanism to interpret the brick wall thickness hypothesis…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Hua Bai , Mu-Lin Yan

We study the interior of a Reissner-Nordstr\"om Black-Hole (RNBH) using Relativistic Quantum Geometry, which was introduced in some previous works. We found discrete energy levels for a scalar field from a polynomial condition for the Heun…

General Relativity and Quantum Cosmology · Physics 2021-08-16 Juan Ignacio Musmarra , Mauricio Bellini
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