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In this paper, we study the thermodynamics of Schwarzschild-anti-de Sitter black holes within the framework of non-commutative geometry. By solving the Einstein's equations, we derive the corrected Schwarzschild-AdS black hole with…

General Relativity and Quantum Cosmology · Physics 2025-04-14 Rui-Bo Wang , Shi-Jie Ma , Lei You , Jian-Bo Deng , Xian-Ru Hu

Using perturbative techniques, we investigate the existence and properties of a new static solution for the Einstein equation with a negative cosmological constant, which we call the deformed black hole. We derive a solution for a static…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Hirotaka Yoshino , Tohru Ohba , Akira Tomimatsu

We study the problem of a Schwarzschild-anti-deSitter black hole in a noncommutative geometry framework, thought to be an effective description of quantum-gravitational spacetime. As a first step we derive the noncommutative geometry…

General Relativity and Quantum Cosmology · Physics 2011-09-14 Piero Nicolini , Giorgio Torrieri

We study thermodynamic aspects of ordinary and lower dimensional noncommutative black holes within an extended anti-de Sitter phase space by treating the negative cosmological constant and the minimal cut-off length as thermodynamic…

General Relativity and Quantum Cosmology · Physics 2025-12-29 Athanasios G. Tzikas

We present an analytic, perturbative solution to the Einstein equations with a scalar field that describes dynamical black holes in a slow-roll inflationary cosmology. We show that the metric evolves quasi-statically through a sequence of…

High Energy Physics - Theory · Physics 2018-07-25 Ruth Gregory , David Kastor , Jennie Traschen

Instead of scalar tensor gravity models which is applicable for description of cosmic inflation with unknown dark sector of matter/energy, at presentense there are presented different alternative scalar tensor vector gravities where…

General Relativity and Quantum Cosmology · Physics 2023-01-24 Hossein Ghaffarnejad , Elham Ghasemi Kordkheilee

Regular Schwarzschild Anti-de-Sitter (RSch-AdS) spacetime, which is a maximally symmetric and Lorentzian manifold of negative curvature, is a solution of Einstein's field equations with a negative cosmological constant and a matter source…

General Relativity and Quantum Cosmology · Physics 2024-10-21 A. Mahmoodzadeh , B. Malakolkalami , K. Ghaderi

We outline the class of globally regular spherically symmetric solutions to the minimally coupled GR equations asymptotically de Sitter in the origin and asymptotically Schwarzschild at infinity. A source term connects smoothly de Sitter…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Irina Dymnikova

In this paper we study the phases of a Schwarzschild black hole in the Anti deSitter background geometry. Exploiting fluid/gravity duality we construct the Maxwell equal area isotherm T=T* in the temperature-entropy plane, in order to…

High Energy Physics - Theory · Physics 2013-10-09 Euro Spallucci , Anais Smailagic

The thermodynamics of Schwarzschild black holes within an isothermal cavity and the associated Euclidean Dirichlet boundary-value problem are studied for four and higher dimensions in anti-de Sitter (AdS) space. For such boundary conditions…

High Energy Physics - Theory · Physics 2014-11-18 M. M. Akbar

In this work we analyze a solution that mimics the Bardeen solution with a cosmological constant surrounded by quintessence. We show that this solution can be obtained by Einstein equations coupled with nonlinear electrodynamics. We also…

General Relativity and Quantum Cosmology · Physics 2022-05-04 Manuel E. Rodrigues , Marcos V. de S. Silva , Henrique A. Vieira

We examine the thermodynamic behavior of a static neutral regular (non-singular) black hole enclosed in a finite isothermal cavity. The cavity enclosure helps us investigate black hole systems in a canonical or a grand canonical ensemble.…

High Energy Physics - Theory · Physics 2025-10-31 Athanasios G. Tzikas

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

In this work, we prove that the classical Schwarzschild-de Sitter spacetime is an exact solution of a class of weakly non-local, UV finite conformal quantum gravity theories, without the necessity of including a cosmological constant term…

General Relativity and Quantum Cosmology · Physics 2025-10-08 Diego A. Martínez-Valera

It is shown that Schwarzschild black hole and de Sitter solutions exist as exact solutions of a recently proposed relativistic covariant formulation of (power-counting) renormalizable gravity with a fluid. The formulation without a fluid is…

High Energy Physics - Theory · Physics 2011-03-22 G. Cognola , E. Elizalde , L. Sebastiani , S. Zerbini

In this paper, we investigate the thermodynamic properties of a regular black hole model which exhibits the most significant subleading corrections to the Schwarzchild asymptotic behavior, in the context of general relativity, using the…

General Relativity and Quantum Cosmology · Physics 2024-02-23 Ioannis Soranidis

We investigate the quantum evolution of large black holes that nucleate spontaneously in de Sitter space. By numerical computation in the s-wave and one-loop approximations, we verify claims that such black holes can initially…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Jens C. Niemeyer , Raphael Bousso

In General Relativity coupled to a non-linear electromagnetic field, together with a negative cosmological constant, we obtain the general static spherical symmetric black hole solution with magnetic charges, which is asymptotic to anti-de…

High Energy Physics - Theory · Physics 2017-05-24 Zhong-Ying Fan

Using the Functional Renormalization Group approach we construct effective quantum spacetime geometries by self-consistently deforming the classical Schwarzschild-de Sitter black-hole solution. This involves studying how quantum…

General Relativity and Quantum Cosmology · Physics 2025-03-19 Alfio Bonanno , Mariano Cadoni , Mirko Pitzalis , Andrea Pierfrancesco Sanna

A quantum Schwarzschild spacetime and a quantum Schwarzschild-de Sitter spacetime with cosmological constant $\Lambda$ are constructed within the framework of a noncommutative Riemannian geometry developed in an earlier publication. The…

High Energy Physics - Theory · Physics 2009-04-17 Ding Wang , R. B. Zhang , Xiao Zhang
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