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In this paper the BTZ black hole geometry is probed with a noncommutative scalar field which obeys the $\kappa$-Minkowski algebra. The entropy of the BTZ black hole is calculated using the brick wall method. The contribution of the…

High Energy Physics - Theory · Physics 2014-10-20 Kumar S. Gupta , E. Harikumar , Tajron Juric , Stjepan Meljanac , Andjelo Samsarov

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

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 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

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

The phenomenology of a radiating Schwarzschild black hole is analyzed in a noncommutative spacetime. It is shown that noncommutativity does not depend on the intensity of the curvature. Thus we legitimately introduce noncommutativity in the…

High Energy Physics - Theory · Physics 2011-02-22 Piero Nicolini

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

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

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

Thermodynamics of the BTZ black hole in noncommutative geometry is studied. We work out the Hawking temperature and entropy which reduce to their commutative limits when the noncommutativity parameter tends to zero. We also discuss the…

General Relativity and Quantum Cosmology · Physics 2011-02-01 Rashida Jahangir , K. Saifullah

In the paper it is demonstrated that the Schwarzschild black-hole quantum entropy computed within the scope of the Generalized Uncertainty Principle has a nonzero minimum under the assumption that for a radius of the black hole the lower…

General Physics · Physics 2013-03-07 Ya. V. Dydyshka , A. E. Shalyt-Margolin

The brick wall model is a semi-classical approach to understanding the microscopic origin of black hole entropy. We outline the formalism for the brick wall model in arbitrary number of dimensions and generalize it to include both charged…

High Energy Physics - Theory · Physics 2025-05-22 Axel Hrelja , Tajron Jurić , Filip Požar

We study thermodynamic quantities and examine the stability of a black hole in a cavity inspired by the noncommutative geometry. It turns out that thermodynamic behavior of the noncommutative black hole is analogous to that of the…

General Relativity and Quantum Cosmology · Physics 2009-09-11 Wontae Kim , Edwin J. Son , Myungseok Yoon

We consider an intrinsic entropy associated with a local conformal net A by the coefficients in the expansion of the logarithm of the trace of the ``heat kernel'' semigroup. In analogy with Weyl theorem on the asymptotic density…

Mathematical Physics · Physics 2011-04-06 Yasuyuki Kawahigashi , Roberto Longo

This work presents a new black hole solution within the framework of a non-commutative gauge theory applied to Kalb-Ramond gravity. Using the method recently proposed in the literature [Nucl.Phys.B 1017 (2025) 116950], we employ the Moyal…

General Relativity and Quantum Cosmology · Physics 2025-09-26 A. A. Araújo Filho , N. Heidari , Iarley P. Lobo

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

We show that the strength of non-commutativity could play a role in determining the boundary condition of a physical problem. As a toy model we consider the inverse square problem in non-commutative space. The scale invariance of the system…

High Energy Physics - Theory · Physics 2009-08-17 Pulak Ranjan Giri

We investigate the thermodynamic properties of a Schwarzschild-AdS black hole within the framework of noncommutative geometry. We derive and analyze the black hole's thermodynamic functions, showing that they depend critically on the…

General Relativity and Quantum Cosmology · Physics 2026-05-08 Slimane Zaim , Fatma Zohra Bara , Mohamed Aimen Larbei

We calculate leading long-distance noncommutative corrections to the classical Schwarzschild black hole which is sourced by a massive noncommutative scalar field. The energy-momentum tensor is taken up to ${\cal O}(\ell^4)$ in…

General Relativity and Quantum Cosmology · Physics 2009-09-02 Archil Kobakhidze

The importance of the Voros product in defining a noncommutative Schwarzschild black hole is shown. The entropy is then computed and the area law is shown to hold upto order $\frac{1}{\sqrt{\theta}}e^{-M^2/\theta}$. The leading correction…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Sunandan Gangopadhyay
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