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Certain exact solutions of the Einstein field equations over nonsimply-connected manifolds are reviewed. These solutions are spherically symmetric and have no curvature singularity. They provide a regularization of the standard…

广义相对论与量子宇宙学 · 物理学 2015-06-17 F. R. Klinkhamer

A new spherically-symmetric solution for a gravitational field is found in the conformally-unimodular metric. It is shown, that the surface of the black hole horizon in the standard Schwarzschild metric can be squeezed to a point by…

广义相对论与量子宇宙学 · 物理学 2020-08-24 Sergey L. Cherkas , Vladimir L. Kalashnikov

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…

广义相对论与量子宇宙学 · 物理学 2021-04-12 Michael R. R. Good , Eric V. Linder

In the paper, only Static Spherically Symmetric space-times in four dimensions are considered within modified gravity models. The non-singular static metrics, including black holes not admitting a de Sitter core in the center and…

广义相对论与量子宇宙学 · 物理学 2024-10-07 A. S. Agrawal , Sergio Zerbini , B. Mishra

We present a nontrivial extension of the problem of spherical accretion of a collisionless kinetic gas into the standard Schwarzschild black hole. This extension consists of replacing the Schwarzschild black hole by generic static and…

广义相对论与量子宇宙学 · 物理学 2025-09-08 Mehrab Momennia , Olivier Sarbach

Novel static black hole solutions with electric and magnetic charges are derived for the class of modified gravities: $f({\cal R})={\cal R}+2\beta\sqrt{{\cal R}}$, with or without a cosmological constant. The new black holes behave…

广义相对论与量子宇宙学 · 物理学 2020-02-14 E. Elizalde , G. G. L. Nashed , S. Nojiri , S. D. Odintsov

The definition of well-behaved coordinate charts for black hole spacetimes can be tricky, as they can lead for example to either unphysical coordinate singularities in the metric (e.g. $r=2M$ in the Schwarzschild black hole) or to an…

广义相对论与量子宇宙学 · 物理学 2021-10-20 Emanuel Gallo , Carlos Kozameh , Thomas Mädler , Osvaldo M. Moreschi , Alejandro Pérez

We derive the form of the metric for static, nonsingular black holes with a de Sitter core, representing a deformation of the Schwarzschild solution, by assuming that the gravitational sources describe a flow between two conformal points,…

广义相对论与量子宇宙学 · 物理学 2023-06-30 Mariano Cadoni , Andrea Pierfrancesco Sanna

Schwarzschild's solution to the Einstein Field Equations was one of the first and most important solutions that lead to the understanding and important experimental tests of Einstein's theory of General Relativity. However, Schwarzschild's…

广义相对论与量子宇宙学 · 物理学 2008-11-26 R. J. van den Hoogen

Using numerical methods, we investigate the absorption properties of a family of nonsingular solutions {which arise in different metric-affine theories, such as quadratic and Born-Infeld gravity.} These solutions continuously interpolate…

广义相对论与量子宇宙学 · 物理学 2019-07-24 Adria Delhom , Caio F. B. Macedo , Gonzalo J. Olmo , Luis C. B. Crispino

We consider Maxwell and Yang-Mills (YM) fields together, interacting through gravity both in Einstein and Gauss-Bonnet (GB) theories. For this purpose we choose two different sets of Maxwell and metric ansaetze. In our first ansatz,…

广义相对论与量子宇宙学 · 物理学 2009-11-13 S. Habib Mazharimousavi , M. Halilsoy

The ghost-free bi-metric gravity theory is a viable theory of gravity that explores the interaction between a massless and a massive graviton and can be described in terms of two dynamical metrics. In this paper, we present an exact static,…

广义相对论与量子宇宙学 · 物理学 2023-11-14 Mostafizur Rahman , Anjan A Sen , Sunil Singh Bohra

First sketch of black hole from M87 galaxy was obtained by Event Horizon Telescope, recently. As appearance of black hole shadow reflects space-time geometry of black holes, observations of black hole shadow may be a promising way to test…

广义相对论与量子宇宙学 · 物理学 2020-06-30 Zhe Chang , Qing-Hua Zhu

Recently it was shown that, in an effective description motivated by loop quantum gravity, singularities of the Kruskal space-time are naturally resolved [1,2]. In this note we explore a few properties of this quantum corrected effective…

广义相对论与量子宇宙学 · 物理学 2021-01-14 Abhay Ashtekar , Javier Olmedo

Astrophysical black holes (BHs) are universally expected to be described by the Kerr metric, a stationary, vacuum solution of general relativity (GR). Indeed, by imaging M87$^\star$ and Sgr A$^\star$ and measuring the size of their shadows,…

广义相对论与量子宇宙学 · 物理学 2024-03-07 Prashant Kocherlakota , Luciano Rezzolla , Rittick Roy , Maciek Wielgus

We demonstrate that a spherical accretion onto astrophysical black holes, under the influence of Newtonian or various post-Newtonian pseudo-Schwarzschild gravitational potentials, may constitute a concrete example of classical analogue…

天体物理学 · 物理学 2007-05-23 Surajit Dasgupta , Neven Bilić , Tapas K. Das

We reveal that a fundamental minimal length naturally replaces the Schwarzschild singularity with future infinity, formalizing the ``asymptotic throat'' as a geometric inevitability. This scheme avoids the topology changes, multiple…

广义相对论与量子宇宙学 · 物理学 2026-04-14 Yi-Bo Liang , Hong-Rong Li

We attempt to study three significant tests of general relativity in higher dimensions both in commutative and non-commutative spaces. In the context of non-commutative geometry, we will consider a solution of the Einstein equation in…

广义相对论与量子宇宙学 · 物理学 2021-05-04 Davood Mahdavian Yekta , S. A. Alavi , Majid Karimabadi

In this article we analyze the predictions of the Einstein gravitation theory (EGT) on black holes in the framework of the Schwarzschild geometry that is defined in the vacuum around a spherically symmetric mass distribution, without…

广义相对论与量子宇宙学 · 物理学 2010-10-04 M. Cattani

The theory of f(R)-gravity is one of the theories of modified Einstein gravity. The vacuum solution, on the other hand, of the field equation is the solution for black hole geometry. We establish here an asymptotically flat rotating black…

广义相对论与量子宇宙学 · 物理学 2022-11-07 Arghya Ranjan Das , Banibrata Mukhopadhyay