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A spacetime is a connected 4-dimensional semi-Riemannian manifold endowed with a metric $g$ with signature $(- + + +)$. The geometry of a spacetime is described by the metric tensor $g$ and the Ricci tensor $S$ of type $(0, 2)$ whereas the…

微分几何 · 数学 2019-08-12 R. Deszcz , A. H. Hasmani , V. G. Khambholja , A. A. Shaikh

The geometry of thermodynamic state space is studied for asymptotically anti-de Sitter black holes in D-dimensional space times. Convexity of thermodynamic potentials and the analytic structure of the response functions is analysed. The…

广义相对论与量子宇宙学 · 物理学 2015-08-19 Brian P. Dolan

The Hessian of the entropy function can be thought of as a metric tensor on the state space. In the context of thermodynamical fluctuation theory Ruppeiner has argued that the Riemannian geometry of this metric gives insight into the…

广义相对论与量子宇宙学 · 物理学 2009-01-14 Jan Aman , Ingemar Bengtsson , Narit Pidokrajt

Black hole physics currently lacks a fully coherent understanding of the black hole mass (density), entropy, and interior (non-)singularity. These concepts are related to the black hole radius, area (of the horizon), and volume (within the…

广义相对论与量子宇宙学 · 物理学 2026-05-20 Arno Keppens , Lester Kurvers

We develop a unified framework for analyzing black hole thermodynamics and spacetime structure in Einstein gravity coupled to causal nonlinear electrodynamics (NED) in asymptotically anti-de Sitter backgrounds. The electromagnetic sector is…

高能物理 - 理论 · 物理学 2026-03-24 H. Babaei-Aghbolagh , Komeil Babaei Velni , Song He , Fateme Isapour

The extended thermodynamics of Reissner-Nordstr\"om charged black holes in D-dimensional anti-de Sitter spacetime has a phase structure in the (T,p) plane that includes a line of first order phase transitions ending in a second order…

高能物理 - 理论 · 物理学 2018-12-07 Clifford V. Johnson

Exploring the characterization of singular black hole spacetimes, we study the relation between energy density, curvature invariants, and geodesic completeness using a quadratic $f(R)$ gravity theory coupled to an anisotropic fluid. Working…

高能物理 - 理论 · 物理学 2017-04-05 Cecilia Bejarano , Gonzalo J. Olmo , Diego Rubiera-Garcia

Field equations of a classical, geometric, theory of gravity, augmented with some semiclassical considerations strongly suggest that the gravitational field representing a stationary black hole can be simply described with a few…

广义相对论与量子宇宙学 · 物理学 2024-10-22 Aydin Tavlayan , Bayram Tekin

We study the thermodynamics associated to topological black hole solutions of AdS gravity coupled to nonlinear electrodynamics (Born-Infeld) in any dimension, using a background-independent regularization prescription for the Euclidean…

高能物理 - 理论 · 物理学 2008-11-26 Olivera Miskovic , Rodrigo Olea

Glavan and Lin's proposal of an effective four-dimensional Einstein--Gauss--Bonnet (4D-EGB) gravity framework yields predictions that differ from general relativity in some regimes. A range of black hole studies have offered insights into…

广义相对论与量子宇宙学 · 物理学 2026-02-26 Syed Masood

We analyse the physics of nonlinear gravitational processes inside a spherical charged black hole perturbed by a self-gravitating massless scalar field. For this purpose we created an appropriate numerical code. Throughout the paper, in…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Jakob Hansen , Alexei Khokhlov , Igor Novikov

In the context of Born-Infeld gravity theories we report the existence of a regular black hole interior representing a spherically symmetric vacuum solution of the theory. It reduces to the Schwarzschild interior metric in the weak field…

广义相对论与量子宇宙学 · 物理学 2019-05-30 Christian G. Boehmer , Franco Fiorini

We study the gravitational collapse of a self-gravitating charged scalar-field. Starting with a regular spacetime, we follow the evolution through the formation of an apparent horizon, a Cauchy horizon and a final central singularity. We…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Shahar Hod , Tsvi Piran

We investigate the thermodynamic properties of 5D static and spherically symmetric black holes in (i) Einstein-Maxwell-Gauss-Bonnet theory, (ii) Einstein-Maxwell-Gauss-Bonnet theory with negative cosmological constant, and in (iii)…

数学物理 · 物理学 2015-05-27 Safia Taj , Hernando Quevedo , Alberto Sanchez

We study Einstein's gravity coupled to nonlinear electrodynamics with two parameters in Anti-de Sitter spacetime. Magnetically charged black holes in an extended phase space is investigated. We obtain the mass and metric functions, their…

综合物理 · 物理学 2024-08-09 S. I. Kruglov

We study the thermodynamic properties of the Reissner-Nordstr\"om black hole with cosmological constant, expressed in terms of the curvature radius, by using the approach of shadow thermodynamics and the formalism of geometrothermodynamics.…

广义相对论与量子宇宙学 · 物理学 2024-07-03 Jose M. Ladino , Carlos E. Romero-Figueroa , Hernando Quevedo

A model of nonlinear electrodynamics is proposed and investigated in general relativity. We consider the magnetic black hole and find a regular solution which gives corrections into the Reissner-Nordstr\"{o}m solution. At…

综合物理 · 物理学 2018-03-07 S. I. Kruglov

Motivated by high interest in the close relation between string theory and black hole solutions, in this paper, we take into account the Einstein-Gauss-Bonnet Lagrangian in the context of massive gravity. We examine the possibility of black…

高能物理 - 理论 · 物理学 2016-02-23 S. H. Hendi , S. Panahiyan , B. Eslam Panah

We consider the Schwarzschild black hole and show how, in a theory with limiting curvature, the physical singularity "inside it" is removed. The resulting spacetime is geodesically complete. The internal structure of this nonsingular black…

广义相对论与量子宇宙学 · 物理学 2017-04-18 Ali H. Chamseddine , Viatcheslav Mukhanov

The thermodynamics of black holes is reformulated within the context of the recently developed formalism of geometrothermodynamics. This reformulation is shown to be invariant with respect to Legendre transformations, and to allow several…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Hernando Quevedo
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