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The so-called black bounce mechanism of singularity suppression, proposed by Simpson and Visser, consists in replacing the spherical radius $r$ in the metric tensor with $\sqrt{r^2 + a^2}$, $a = \rm const >0$. This removes a singularity at…

广义相对论与量子宇宙学 · 物理学 2024-04-29 Kirill A. Bronnikov

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

Unless the reality of spacetime singularities is assumed, astrophysical black holes cannot be identical to their mathematical counterparts obtained as solutions of the Einstein field equations. Mechanisms for singularity regularization…

广义相对论与量子宇宙学 · 物理学 2021-02-01 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati , Matt Visser

We study the classical and quantum theory of spherically symmetric spacetimes with scalar field coupling in general relativity. We utilise the canonical formalism of geometrodynamics adapted to the Painleve-Gullstrand coordinates, and…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Viqar Husain , Oliver Winkler

We present a class of exact, dynamical, and fully analytic solutions describing regular black holes formed via the gravitational collapse of matter obeying a generalized polytropic equation of state. Starting from a Vaidya-type geometry…

广义相对论与量子宇宙学 · 物理学 2026-02-12 Dmitriy Kudryavcev , Yi Ling , Vitalii Vertogradov

We provide a methodology for decoupling the bulk gravitational field equations of braneworld black holes to suppress the bulk singularities. Thus, we provide a regular braneworld black hole setup. To achieve this, we apply a Minimal…

广义相对论与量子宇宙学 · 物理学 2025-01-10 Milko Estrada , T. M. Crispim , G. Alencar

We derive a class of regular black holes from the proper-time renormalization group approach to asymptotically safe gravity. A central challenge is the robustness of physical predictions to the regularization scheme. We address this by…

广义相对论与量子宇宙学 · 物理学 2025-12-22 Alfio Bonanno , Roman A. Konoplya , Giovanni Oglialoro , Andrea Spina

Classical general relativity predicts a singularity at the center of a black hole, where known laws of physics break down. This suggests the existence of deeper, yet unknown principles of Nature. Among various theoretical possibilities, one…

广义相对论与量子宇宙学 · 物理学 2025-04-22 Nihar Ranjan Ghosh , Malay K. Nandy

The prediction of spacetime singularities, regions of infinite curvature where classical physics breaks down, is one of the most profound challenges in General Relativity (GR). In particular, black hole solutions such as the Schwarzschild…

广义相对论与量子宇宙学 · 物理学 2025-11-18 Jose Pinedo Soto

The formation of spacetime singularities is a quite common phenomenon in General Relativity and it is regulated by specific theorems. It is widely believed that spacetime singularities do not exist in Nature, but that they represent a…

广义相对论与量子宇宙学 · 物理学 2013-04-08 Cosimo Bambi , Leonardo Modesto

The widely discussed ``black-bounce'' mechanism of removing a singularity at $r=0$ in a spherically symmetric space-time, proposed by Simpson and Visser, consists in removing the point $r=0$ and its close neighborhood, resulting in…

广义相对论与量子宇宙学 · 物理学 2024-05-16 S. V. Bolokhov , K. A. Bronnikov , M. V. Skvortsova

Black hole solutions in general relativity come with pathologies such as singularity and mass inflation instability, which are believed to be cured by a yet-to-be-found quantum theory of gravity. Without such consistent description, one may…

广义相对论与量子宇宙学 · 物理学 2023-02-14 Rajes Ghosh , Mostafizur Rahman , Akash K Mishra

Recently, in [arXiv:2403.04827], it was demonstrated that various regular black hole metrics can be derived within a theory featuring an infinite number of higher curvature corrections to General Relativity. Moreover, truncating this…

广义相对论与量子宇宙学 · 物理学 2024-08-16 R. A. Konoplya , A. Zhidenko

As argued in arXiv:2104.10172, introducing a non-minimally coupled scalar field, three-dimensional Einstein gravity can be extended by infinite families of theories which admit simple analytic generalizations of the charged BTZ black hole.…

广义相对论与量子宇宙学 · 物理学 2025-08-26 Pablo Bueno , Oscar Lasso Andino , Javier Moreno , Guido van der Velde

An exact solution of the vacuum Einstein field equations over a nonsimply-connected manifold is presented. This solution is spherically symmetric and has no curvature singularity. It can be considered to be a regularization of the…

广义相对论与量子宇宙学 · 物理学 2013-09-06 F. R. Klinkhamer

Recently it was demonstrated that by adding to the Einstein-Hilbert action a series in powers of the curvature invariants with specially chosen coefficients one can obtain a theory of gravity which has spherically symmetric solutions…

广义相对论与量子宇宙学 · 物理学 2025-05-27 Valeri P. Frolov , Alex Koek , Jose Pinedo Soto , Andrei Zelnikov

Recent results show that important singularities in General Relativity can be naturally described in terms of finite and invariant canonical geometric objects. Consequently, one can write field equations which are equivalent to Einstein's…

广义相对论与量子宇宙学 · 物理学 2014-03-06 Ovidiu Cristinel Stoica

Regular and spherically symmetric black holes that solve the singularity problems of the Schwarzschild solution are phenomenologically viable at large distance but usually suffer from the Cauchy horizon instability. To overcome this…

广义相对论与量子宇宙学 · 物理学 2025-07-10 Marco Calzá , Massimiliano Rinaldi , Sergio Zerbini

By considering the back-reaction of the spacetime through the spherically symmetric quantum fluctuations of the background metric, Kazakov and Solodukhin removed the singularity of the Schwarzschild black hole. This regular Schwarzschild…

广义相对论与量子宇宙学 · 物理学 2022-07-21 Kourosh Nozari , Milad Hajebrahimi

Regular black holes are often geodesically incomplete when their extensions to negative values of the radial coordinate are considered. Here, we propose to use the Simpson-Visser method of regularising a singular spacetime, and apply it to…

广义相对论与量子宇宙学 · 物理学 2023-07-19 Kunal Pal , Kuntal Pal , Tapobrata Sarkar
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