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In this short note we present the solution of Rastall gravity equations sourced by a Gaussian matter distribution. We find that the black hole metric shares all the common features of other regular, General Relativity BH solutions discussed…

General Relativity and Quantum Cosmology · Physics 2018-01-18 Euro Spallucci , Anais Smailagic

We provide a new exact solution of the Einstein equations which generalizes the noncommutative geometry inspired Schwarzschild metric, we previously obtained. We consider here more general relations between the energy density and the radial…

General Relativity and Quantum Cosmology · Physics 2010-01-06 Piero Nicolini , Euro Spallucci

We study the shadow and energy emission rate of a spherically symmetric non-commutative black hole in Rastall gravity. Depending on the model parameters, the non-commutative black hole can reduce to the Schwarzschild black hole. Since the…

High Energy Physics - Theory · Physics 2020-05-19 Ali Övgün , İzzet Sakallı , Joel Saavedra , Carlos Leiva

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

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

Low energy limits of a string theory suggest that the gravity action should include quadratic and higher-order curvature terms, in the form of dimensionally continued Gauss-Bonnet densities. Einstein-Gauss-Bonnet is a natural extension of…

General Relativity and Quantum Cosmology · Physics 2018-06-19 Sushant G. Ghosh

This work presents a comprehensive investigation of the gravitational phenomena that correspond to a non-commutative (NC) charged black hole, by incorporating NC geometry through a Moyal twist. We derive the deformed metric up to the second…

General Relativity and Quantum Cosmology · Physics 2026-02-26 N. Heidari

A promising theory in modifying general relativity by violating the ordinary energy-momentum conservation law in curved spacetime is the Rastall theory of gravity. In this theory, geometry and matter fields are coupled to each other in a…

General Relativity and Quantum Cosmology · Physics 2018-03-12 Iarley P. Lobo , H. Moradpour , J. P. Morais Graça , I. G. Salako

We find a new, non-commutative geometry inspired, solution of the coupled Einstein-Maxwell field equations describing a variety of charged, self-gravitating objects, including extremal and non-extremal black holes. The metric smoothly…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Stefano Ansoldi , Piero Nicolini , Anais Smailagic , Euro Spallucci

We study the formation of the (noncommutative) Schwarzschild black hole from collapsing shell {of the} generalized matters containing polytropic and Chaplygin gas. We show that this collapsing shell depending on various parameters forms…

General Relativity and Quantum Cosmology · Physics 2010-05-12 John J. Oh , Chanyong Park

The Schwarzschild metric has a divergent energy density at the horizon, which motivates a new approach to black holes. If matter is spread uniformly throughout the interior of a supermassive black hole, with mass $M\sim M_\star= 2.34…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Theo M. Nieuwenhuizen

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

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

Low energy limits of string theory indicated that the standard gravity action should be modified to include higher-order curvature terms, in the form of dimensionally continued Gauss-Bonnet densities. If one includes only quadratic…

General Relativity and Quantum Cosmology · Physics 2021-02-18 Sushant G. Ghosh , Sunil D. Maharaj

Non-commutative geometries have been proposed as an approach to quantum gravity and have led to the construction of non-commutative black holes, whose interior singularities are purportedly eliminated due to quantum effects. Here we find…

High Energy Physics - Theory · Physics 2015-05-20 Eric Brown , Robert B. Mann

We analyze the static and spherically symmetric perfect fluid solutions of Einstein field equations inspired by the non commutative geometry. In the framework of the non commutative geometry this solution is interpreted as a mini black hole…

General Relativity and Quantum Cosmology · Physics 2009-12-04 Ivan Arraut Guerrero , Davide Batic , Marek Nowakowski

Recently, a new noncommutative geometry inspired solution of the coupled Einstein-Maxwell field equations including black holes in 4-dimension is found. In this paper, we generalize some aspects of this model to the Reissner-Nordstr\"om…

High Energy Physics - Theory · Physics 2010-04-22 Kourosh Nozari , S. Hamid Mehdipour

The spherically symmetric accretion onto a noncommutative (NC) inspired Schwarzschild black hole is treated for a polytropic fluid. The critical accretion rate $\dot{M}$, sonic speed $a_s$ and other flow parameters are generalised for the…

General Relativity and Quantum Cosmology · Physics 2017-09-21 Rahul Kumar , Sushant G. Ghosh

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

Due to the gravitational lensing effect, a black hole casts a shadow larger than its horizon over a bright background, and the shape and size can be calculated. The Event Horizon Telescope collaboration has produced the first direct image…

General Relativity and Quantum Cosmology · Physics 2021-09-28 Rahul Kumar , Balendra Pratap Singh , Md Sabir Ali , Sushant G. Ghosh
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