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Schwarzschild (non-rotating and chargeless) black holes are classically understood to be voids of extreme gravitation. In this study, we propose a holographic model for their interiors, envisioning them instead as a hydrodynamic medium.…

General Physics · Physics 2025-05-05 Noah M. MacKay

New, simple models of ``black hole interiors'', namely spherically symmetric solutions of the Einstein field equations in matter matching the Schwarzschild vacuum at spacelike hypersurfaces ``R<2M'' are constructed. The models satisfy the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Giulio Magli

In this paper we present an exact solution of Einstein's field equations describing the Schwarzschild black hole in dark energy background. It is also regarded as an embedded solution that the Schwarzschild black hole is embedded into the…

General Relativity and Quantum Cosmology · Physics 2014-09-30 Ngangbam Ishwarchandra , Ng. Ibohal , K. Yugindro Singh

In this paper, we present an exact solution for a spherically symmetric Schwarzschild black hole surrounded by perfect fluid dark matter (PFDM) in the presence of a quintessence field. We investigate the impact of dark matter on the black…

General Relativity and Quantum Cosmology · Physics 2025-03-31 B. Hamil , B. C. Lütfüoğlu

The Schwarzschild solution has played a fundamental conceptual role in general relativity, and beyond, for instance, regarding event horizons, spacetime singularities and aspects of quantum field theory in curved spacetimes. However, one…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Rosa Doran , Francisco S. N. Lobo , Paulo Crawford

The equilibrium configurations between a Schwarzschild black hole and a hyperextreme Kerr object are shown to be described by a three-parameter subfamily of the extended double-Kerr solution. For this subfamily, its Ernst potential and…

General Relativity and Quantum Cosmology · Physics 2015-11-06 V. S. Manko , E. Ruiz

Using the synchronous coordinates, the creation of a Schwarzschild black hole immersed in a de Sitter spacetime can be viewed as a coherent creation of a collection of timelike geodesics. The previously supposed conical singularities do not…

General Relativity and Quantum Cosmology · Physics 2017-10-06 Zhong Chao Wu

We have constructed a spherically symmetric structure model in a cosmological background filled with perfect fluid with non-vanishing pressure as an exact solution of Einstein equations using the Lema\^{i}tre solution. To study its local…

General Relativity and Quantum Cosmology · Physics 2015-10-07 Rahim Moradi , Javad T. Firouzjaee , Reza Mansouri

We construct a novel exact solution of the Einstein-scalar-Maxwell equations describing a dynamical black hole immersed in an external, time-dependent electromagnetic field. Motivated by the need for more realistic analytical black hole…

General Relativity and Quantum Cosmology · Physics 2026-05-13 Jibril Ben Achour , Adolfo Cisterna , Amaro Díaz , Keanu Müller

The relative flow of the Schwarzschild vs. the proper time during the classical evolution of a collapsing shell in the Schwarzschild coordinates practically forces us to interpret black hole formation as a highly non-local quantum process…

General Relativity and Quantum Cosmology · Physics 2022-07-15 De-Chang Dai , Djordje Minic , Dejan Stojkovic

We show that a semi-classical polymerization of the interior of Schwarzschild black holes gives rise to a tantalizing candidate for a non-singular, single horizon black hole spacetime. The exterior has non-zero quantum stress energy but…

General Relativity and Quantum Cosmology · Physics 2009-11-06 A. Peltola , G. Kunstatter

We thoroughly investigate conformally Schwarzschild spacetimes in different coordinate systems to seek for physically reasonable models of a cosmological black hole. We assume that a conformal factor depends only on the time coordinate and…

General Relativity and Quantum Cosmology · Physics 2023-03-14 Takuma Sato , Hideki Maeda , Tomohiro Harada

Requiring that the matter fields are subject to the dominant energy condition, we establish the lower bound $(4\pi)^{-1} \kappa {\cal A}$ for the total mass $M$ of a static, spherically symmetric black hole spacetime. (${\cal A}$ and…

General Relativity and Quantum Cosmology · Physics 2010-04-06 M. Heusler

The choked accretion model consists of a purely hydrodynamical mechanism in which, by setting an equatorial to polar density contrast, a spherically symmetric accretion flow transitions to an inflow-outflow configuration. This scenario has…

High Energy Astrophysical Phenomena · Physics 2021-01-13 Alejandro Aguayo-Ortiz , Olivier Sarbach , Emilio Tejeda

We construct a black hole whose interior is the false vacuum and whose exterior is the true vacuum of a classical field theory. From the outside the metric is the usual Schwarzschild one, but from the inside the space is de Sitter with a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. G. Daghigh , J. I. Kapusta , Y. Hosotani

Within the framework of general relativity, we explore the interior of the Schwarzschild black hole before complete collapse occurs, finding that the exterior is perfectly compatible with a source much more complex than a pointlike mass. We…

General Relativity and Quantum Cosmology · Physics 2024-05-14 J. Ovalle

In this paper, we look for the vacuum static spherically symmetric solution in the mimetic gravity scenario based on the conformal invariance principle. The trivial solution is a stealth Schwarzschild black hole with scalar hair where the…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Mohammad Ali Gorji , Alireza Allahyari , Mohsen Khodadi , Hassan Firouzjahi

We prove global existence and decay for small-data solutions to a class of quasilinear wave equations on a wide variety of asymptotically flat spacetime backgrounds, allowing in particular for the presence of horizons, ergoregions and…

General Relativity and Quantum Cosmology · Physics 2024-10-07 Mihalis Dafermos , Gustav Holzegel , Igor Rodnianski , Martin Taylor

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…

General Relativity and Quantum Cosmology · Physics 2023-04-21 Hideki Maeda

We present a modified Schwarzschild solution for a model of evaporation of a black hole with information preservation. By drawing a direct analogy to the quantum pure accelerating mirror (dynamical Casimir effect of a 1D horizon), we derive…

General Relativity and Quantum Cosmology · Physics 2021-04-12 Michael R. R. Good , Eric V. Linder
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