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We emphasize the importance of the Voros product in defining noncommutative inspired black holes. The computation of entropy for both the noncommutative inspired Schwarzschild and Reissner-Nordstr\"{o}m black holes show that the area law…

High Energy Physics - Theory · Physics 2013-03-26 Sunandan Gangopadhyay

We calculate the Komar energy $E$ for a noncommutative Schwarzschild black hole. A deformation from the conventional identity $E=2ST_H$ is found in the next to leading order computation in the noncommutative parameter $\theta$ (i.e.…

High Energy Physics - Theory · Physics 2015-05-19 Rabin Banerjee , Sunandan Gangopadhyay

We show the importance of the Voros product in defining a noncommutative Schwarzschild black hole. The corrected entropy/area-law is then computed in the tunneling formalism. Two types of corrections are considered; one, due to the effects…

High Energy Physics - Theory · Physics 2010-03-26 Rabin Banerjee , Sunandan Gangopadhyay , Sujoy Kumar Modak

We emphasize the importance of the Voros product in defining a noncommutative inspired Reissner-Nordstr\"{o}m black hole. The entropy of this black hole is then computed in the tunneling approach and is shown to obey the area law at the…

High Energy Physics - Theory · Physics 2015-05-20 Sunandan Gangopadhyay , Dibakar Roychowdhury

We calculate the Komar energy $E$ for a charged black hole inspired by noncommutative geometry and identify the total mass ($M_{0}$) by considering the asymptotic limit. We also found the generalized Smarr formula, which shows a deformation…

General Relativity and Quantum Cosmology · Physics 2012-11-07 Alexis Larranaga , Juan Carlos Jimenez

We investigate the behavior of a noncommutative radiating Schwarzschild black hole. It is shown that coordinate noncommutativity cures usual problems encountered in the description of the terminal phase of black hole evaporation. More in…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Piero Nicolini , Anais Smailagic , Euro Spallucci

It has been recently shown in [Phys. Rev. Lett. 125 (2020) 041302] that microstate counting carried out for quantum states residing on the horizon of a black hole leads to a correction of the form $\exp(-A/4l_p^2)$ in the Bekenstein-Hawking…

High Energy Physics - Theory · Physics 2024-05-10 Soham Sen , Ashis Saha , Sunandan Gangopadhyay

It is known that, in the noncommutative Schwarzschild black hole spacetime, the point-like object is replaced by the smeared object, whose mass density is described by a Gaussian distribution of minimal width $\sqrt{\theta}$ with $\theta$…

High Energy Physics - Theory · Physics 2015-03-14 Shao-Wen Wei , Yu-Xiao Liu , Zhen-Hua Zhao , Chun-E Fu

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

Motivated by the energy dependent metric in gravity's rainbow, we will propose a new kind of energy dependent noncommutative geometry. It will be demonstrated that like gravity's rainbow, this new noncommutative geometry is described by an…

General Relativity and Quantum Cosmology · Physics 2018-01-09 Mir Faizal , R. G. G. Amorim , S. C. Ulhoa

In this paper we study the effects of noncommutative phase space deformations on the Schwarzschild black hole. This idea has been previously studied in {Friedmann-Robertson-Walker (FRW)} cosmology, where this "noncommutativity" provides a…

General Relativity and Quantum Cosmology · Physics 2017-04-05 A. Crespo-Hernandez , E. Mena , M. Sabido

We calculate the effective Komar conserved quantities for the $N+1$ dimensional charged Myers-Perry spacetime. At the event horizon we derive a new identity $K_{\chi^{\mu}}=2ST$ where the left hand side is the Komar conserved quantity…

General Relativity and Quantum Cosmology · Physics 2010-12-23 Rabin Banerjee , Bibhas Ranjan Majhi , Sujoy Kumar Modak , Saurav Samanta

Recent work in the literature has studied the quantum-mechanical decay of a Schwarzschild-like black hole, formed by gravitational collapse, into almost-flat space-time and weak radiation at a very late time. The relevant quantum amplitudes…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Elisabetta Di Grezia , Giampiero Esposito , Gennaro Miele

A version of the Schwarzschild metric to be valid in microphysics is proposed. The source fluid is anisotropic with $p_{r} = -\rho$ and fluctuating tangential pressures. At large distances with respect to the Compton wavelength associated…

General Relativity and Quantum Cosmology · Physics 2017-07-17 Hristu Culetu

Using a graphical analysis, we show that for the horizon radius $r_h\gtrsim 4.8\sqrt\theta$, the standard semiclassical Bekenstein-Hawking area law for noncommutative Schwarzschild black hole exactly holds for all orders of $\theta$. We…

High Energy Physics - Theory · Physics 2009-04-22 Rabin Banerjee , Bibhas Ranjan Majhi , Sujoy Kumar Modak

Few years ago, Setare \cite{1} has investigated the Cardy-Verlinde formula of non-commutative black hole obtained by non-commutativity of coordinates. In this paper, we apply the same procedure to a non-commutative black hole obtained by…

General Physics · Physics 2014-05-29 G. Abbas

In a recent string theory motivated paper, Nicolini, Smailagic and Spallucci (NSS) presented an interesting model for a noncommutative inspired, Schwarzschild-like black hole solution in 4-dimensions. The essential effect of having…

High Energy Physics - Phenomenology · Physics 2009-11-11 Thomas G. Rizzo

Adopting noncommutative spacetime coordinates, we determined a new solution of Einstein equations for a static, spherically symmetric matter source. The limitations of the conventional Schwarzschild solution, due to curvature singularities,…

High Energy Physics - Theory · Physics 2007-05-23 Piero Nicolini

The event horizon of Schwarzschild black hole is obtained in noncommutative spaces up to the second order of perturbative calculations. Because this type of black hole is non-rotating, to the first order there is no any effect on the event…

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

This work aims to present the quantum aspects of a non-commutative gauge gravity formulation of a Schwarzschild-like black hole constructed via the Moyal twist $\partial_t \wedge \partial_\theta$. Particle creation is estimated for bosonic…

General Relativity and Quantum Cosmology · Physics 2026-01-21 A. A. Araújo Filho , I. P. Lobo , P. H. M. Barros , Amilcar R. Queiroz
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