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The article discusses and substantiates a self-consistent approach to the macroscopic description of systems with gravitational interaction. Corrections to the equation of state of the fluid are found based on macroscopic Einstein equations…

广义相对论与量子宇宙学 · 物理学 2019-09-04 Yu. G. Ignat'ev

We revisit the dynamics of a black hole accreting energy from a surrounding homogeneous and infinite space. We argue for a simple heuristic modification of the Schwarzschild approximation when the density of the medium is not negligible…

广义相对论与量子宇宙学 · 物理学 2025-11-04 Aurélien Barrau , Killian Martineau , Hanane Zelgoum

A spacetime endowed with an anisotropic fluid is proposed for the interior of a Schwarzschild black hole. The geometry has an instantaneous Minkowski form and is a solution of Einstein's equations with a stress tensor on the r.h.s. obeying…

高能物理 - 理论 · 物理学 2008-01-31 Hristu Culetu

In this paper, we continue the analysis of the effective model of quantum Schwarzschild black holes recently proposed by some of the authors in [1,2]. In the resulting spacetime the central singularity is resolved by a black-to-white hole…

广义相对论与量子宇宙学 · 物理学 2022-02-28 Fabio M. Mele , Johannes Münch , Stratos Pateloudis

In general relativity, the Einstein equations provide spherically symmetric static spacetimes with dynamics defined as an evolution along the radial coordinate $r$. The geometrical sector becomes a one-dimensional mechanical system, with…

广义相对论与量子宇宙学 · 物理学 2025-11-03 Etera R. Livine , Yuki Yokokura

We obtain the general $n(\ge 4)$-dimensional static solution with an $(n-2)$-dimensional Einstein base manifold for a perfect fluid obeying a linear equation of state $p=-(n-3)\rho/(n+1)$. It is a generalization of Semiz's four-dimensional…

广义相对论与量子宇宙学 · 物理学 2023-04-21 Hideki Maeda

We establish the relationship between the space-time structure of regular spherically-symmetrical black holes and the character of violation of the strong energy condition (SEC). It is shown that it is violated in any static region under…

广义相对论与量子宇宙学 · 物理学 2014-11-20 O. B. Zaslavskii

We solve the Klein-Gordon equation for a scalar field, in the background geometry of a dust cloud collapsing to form a black hole, everywhere in the (1+1) spacetime: that is, both inside and outside the event horizon and arbitrarily close…

广义相对论与量子宇宙学 · 物理学 2015-07-07 Sumanta Chakraborty , Suprit Singh , T. Padmanabhan

We present a fully analytic treatment of Schwarzschild--de~Sitter (SdS) black-hole evaporation in two-dimensional dilaton gravity with anomaly-induced backreaction. Starting from the spherical reduction of four-dimensional Einstein gravity…

高能物理 - 理论 · 物理学 2026-01-26 Damien A. Easson

In this article we find a four-dimensional metric for a large black hole immersed in dark matter. Specifically, we look for and find a static spherically symmetric black hole solution to the Einstein equations which gives, in the Newtonian…

广义相对论与量子宇宙学 · 物理学 2021-01-12 Fateen Haddad , Nidal Haddad

By foliating the four-dimensional C-metric black hole spacetime, we consider a kind of initial-value-like formulation of the vacuum Einstein's equation, the holographic initial data is a double consisting of the induced metric and the…

广义相对论与量子宇宙学 · 物理学 2017-04-07 Xin Hao , Bin Wu , Liu Zhao

Unique features of particle orbits produce novel signatures of gravitational observable phenomena, and are quite useful in testing compact astrophysical objects in general relativity or modified theories of gravity. Here we observe a…

广义相对论与量子宇宙学 · 物理学 2023-10-24 Shao-Wen Wei , Yu-Peng Zhang , Yu-Xiao Liu , Robert B. Mann

If cosmological constant is positive, a black hole is naturally described by the Schwarzschild-de Sitter solution with two horizons. We use the global method to extract the topological information and the selection rule for the…

高能物理 - 理论 · 物理学 2007-05-23 Feng-Li Lin

Non-static, spherically symmetric clusters of counter-rotating particles, of the type first introduced by Einstein, are analysed here. The initial data space can be parameterized in terms of three arbitrary functions, namely; initial…

广义相对论与量子宇宙学 · 物理学 2009-10-31 S. Jhingan , G. Magli

We construct a one-loop effective metric describing the evaporation phase of a Schwarzschild black hole in a spherically symmetric null-dust model. This is achieved by quantising the Vaidya solution and by chosing a time dependent quantum…

高能物理 - 理论 · 物理学 2009-01-16 J. Cruz , A. Mikovic , J. Navarro-Salas

We study spherically symmetric static spacetimes generally filled with an anisotropic fluid in the nonrelativistic general covariant theory of gravity. In particular, we find that the vacuum solutions are not unique, and can be expressed in…

高能物理 - 理论 · 物理学 2011-01-27 Jared Greenwald , V. H. Satheeshkumar , Anzhong Wang

We investigate all static spherically symmetric solutions in the context of general relativity surrounded by a minimally-coupled quintessence field, using dynamical system analysis. Applying the 1+1+2 formalism and introducing suitable…

广义相对论与量子宇宙学 · 物理学 2017-05-29 Miguel Cruz , Apratim Ganguly , Radouane Gannouji , Genly Leon , Emmanuel N. Saridakis

Regular black holes are imagined as solutions to Einstein's field equations, with no singularities, albeit characterized by the presence of an internal structure. With the intention not to use non-linear electrodynamics, we here propose to…

广义相对论与量子宇宙学 · 物理学 2025-02-05 Seyed Naseh Sajadi , Supakchai Ponglertsakul , Orlando Luongo

We investigate the black hole solution to (2+1)-dimensional gravity coupled to topological matter, with a vanishing cosmological constant. We calculate the total energy, angular momentum and entropy of the black hole in this model and…

广义相对论与量子宇宙学 · 物理学 2010-04-28 S. Carlip , J. Gegenberg , R. B. Mann

In this study, we explore a static, spherically symmetric black hole solution in the context of a self-interacting Kalb-Ramond field coupled with a global monopole. By incorporating the effects of Lorentz-violating term $\ell$ and the…

广义相对论与量子宇宙学 · 物理学 2025-04-10 Mohsen Fathi , Ali Övgün