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Starting from metric of the general nonextreme stationary axisymmetric black hole in four-dimensional spacetime, both statistical-mechanical and thermodynamical entropies are studied. First, by means of the "brick wall" model in which the…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Jiliang Jing , Mu-Lin Yan

We study here the structure of singularity forming in gravitational collapse of spherically symmetric inhomogeneous dust. Such a collapse is described by the Tolman-Bondi-Lema{\^i}tre metric, which is a two-parameter family of solutions to…

广义相对论与量子宇宙学 · 物理学 2007-05-23 S. Jhingan , P. S. Joshi

A static spherically symmetric solution is obtained and examined in the framework of Einstein-power-Yang-Mills-dilaton theory. To derive this exact solution a dilaton potential $V(\Phi)$ is taken into account. Thermodynamics of the black…

高能物理 - 理论 · 物理学 2021-01-01 M. M. Stetsko

We derive the analog of the Tolman - Oppenheimer - Volkoff equation in conformal Killing gravity in a static spherically symmetric spacetime, sourced by anisotropic fluid matter. It differs from the original equation by new dark terms…

广义相对论与量子宇宙学 · 物理学 2025-04-01 Carlo Alberto Mantica , Luca Guido Molinari

We investigate the Michel-type accretion onto a static spherically symmetric black hole. Using a Hamiltonian dynamical approach, we show that the standard method employed for tackling the accretion problem has masked some properties of the…

广义相对论与量子宇宙学 · 物理学 2016-05-20 Ayyesha K. Ahmed , Mustapha Azreg-Aïnou , Mir Faizal , Mubasher Jamil

The presence of dark matter around a black hole remarkably affects its spacetime. We consider the effects of dark matter on the shadow of a new solution to the Einstein equations that describes a rotating black hole in the background of…

广义相对论与量子宇宙学 · 物理学 2019-02-12 Sumarna Haroon , Mubasher Jamil , Kimet Jusufi , Kai Lin , Robert B. Mann

Inspired by the Lifshitz gravity as a theory with anisotropic scaling behavior, we suggest a new $(n+1)-$dimensional metric in which the time and spatial coordinates scale anisotropically as $(t,r,\theta_{i})\,\to…

广义相对论与量子宇宙学 · 物理学 2022-12-06 S. Mahmoudi , Kh. Jafarzade , S. H. Hendi

We propose a two-parameter, static and spherically symmetric regular geometry, which, for specific parameter values represents a regular black hole. The matter required to support such spacetimes within the framework of General Relativity…

广义相对论与量子宇宙学 · 物理学 2024-05-02 Anjan Kar , Sayan Kar

A model of compact object coupled to inhomogeneous anisotropic dark energy is studied. It is assumed a variable dark energy that suffers a phase transition at a critical density. The anisotropic Lambda-Tolman-Oppenheimer-Volkoff equations…

广义相对论与量子宇宙学 · 物理学 2011-05-12 Cristian R. Ghezzi

We investigate gravitational collapse of thick shell of fluid in the isotropic homogeneous universe without radiation described by the Einstein gravity with cosmological constant. We construct analytic solutions of this kind interpolating…

广义相对论与量子宇宙学 · 物理学 2022-09-07 Shuichi Yokoyama

We study the formation and perturbation of black holes by null fluxes of neutral matter in a quadratic extension of General Relativity formulated a la Palatini. Working in a spherically symmetric space-time, we obtain an exact analytical…

广义相对论与量子宇宙学 · 物理学 2015-06-11 J. Martinez-Asencio , Gonzalo J. Olmo , D. Rubiera-Garcia

The static vacuum spherically symmetric solutions in massive gravity are obtained both analytically and numerically. The solutions depend on two parameters (integration constants): the mass M (or, equivalently, the Schwarzschild radius),…

广义相对论与量子宇宙学 · 物理学 2011-06-10 Michael V. Bebronne , Peter G. Tinyakov

Analytic spherically symmetric solutions of the Einstein field equations coupled with a perfect fluid and with self-similarities of the zeroth, first and second kinds, found recently by Benoit and Coley [Class. Quantum Grav. {\bf 15}, 2397…

广义相对论与量子宇宙学 · 物理学 2009-11-07 C. F. C. Brandt , L. -M. Lin , J. F. Villas da Rocha , A. Z. Wang

We study the spherically symmetric collapse of a real, minimally coupled, massive scalar field in an asymptotically Einstein-de Sitter spacetime background. By means of an eikonal approximation for the field and metric functions, we obtain…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Sergio M. C. V. Goncalves

We show a stability result for the Schwarzschild singularity (inside the black hole region) for the Einstein vacuum equations. The result is proven in the class of polarized axial symmetry, under perturbations of the Schwarzschild data…

偏微分方程分析 · 数学 2020-05-07 Spyros Alexakis , Grigorios Fournodavlos

We present a class of spherically symmetric vacuum solutions to an asymptotically safe theory of gravity containing high-derivative terms. We find quantum corrected Schwarzschild-(anti)-de Sitter solutions with running gravitational…

高能物理 - 理论 · 物理学 2014-11-21 Yi-Fu Cai , Damien A. Easson

We present a family of extensions of spherically symmetric Einstein-Lanczos-Lovelock gravity. The field equations are second order and obey a generalized Birkhoff's theorem. The Hamiltonian constraint can be written in terms of a…

广义相对论与量子宇宙学 · 物理学 2015-09-16 Gabor Kunstatter , Hideki Maeda , Tim Taves

A new version of the geometry inside a black hole is proposed, on the grounds of an idea given by Doran et al. The spacetime is still time dependent and is a solution of Einstein's equations with a stress tensor corresponding to an…

高能物理 - 理论 · 物理学 2009-04-24 Hristu Culetu

Nathan Rosen's quantization approach to the gravitational collapse is applied in the simple case of a pressureless "star of dust" by finding the gravitational potential, the Schrodinger equation and the solution for the collapse's energy…

广义相对论与量子宇宙学 · 物理学 2024-03-27 Christian Corda , Fabiano Feleppa

Black holes in General Relativity are described by space-time metrics that are simpler in comparison to non-vacuum compact objects. However, given the universality of the gravitational pull, it is expected that dark matter accumulates…

广义相对论与量子宇宙学 · 物理学 2024-07-23 Caio F. B. Macedo , João Luís Rosa , Diego Rubiera-Garcia