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Singularity-free regular black holes are a popular alternative to the singular mathematical black holes predicted by general relativity. Here, we derive a generic condition that spherically symmetric dynamical regular black holes must…

General Relativity and Quantum Cosmology · Physics 2023-08-09 Sebastian Murk , Ioannis Soranidis

The uniqueness and rigidity theorems assert that the asymptotically flat, vacuum, stationary rotating black hole solution in general relativity must be the Kerr solution, exhibiting novel symmetries such as axisymmetry and circularity. In…

General Relativity and Quantum Cosmology · Physics 2024-12-13 Rajes Ghosh , Akash K Mishra , Sudipta Sarkar

We present, in closed analytic form, a general stationary, slowly rotating black hole, which is solution to a large class of alternative theories of gravity in four dimensions. In these theories, the Einstein-Hilbert action is supplemented…

General Relativity and Quantum Cosmology · Physics 2011-10-27 Paolo Pani , Caio F. B. Macedo , Luis C. B. Crispino , Vitor Cardoso

Black holes encountered in general relativity are characterized by spacetime singularities hidden within an event horizon. These singularities provide a key motivation to go beyond general relativity and look for regular black holes where…

General Relativity and Quantum Cosmology · Physics 2022-11-18 Alfio Bonanno , Frank Saueressig

Certain approaches to quantum gravity and classical modified gravity theories result in effective field equations in which the original source is substituted by an effective one. In these cases, the occurrence of regular spacetime…

General Relativity and Quantum Cosmology · Physics 2023-07-25 Breno L. Giacchini , Tibério de Paula Netto

In this paper we try to clarify that a regular metric can generate a singular spacetime. Our work focuses on a static and spherically symmetric spacetime in which regularity exists when all components of the Riemann tensor are finite. There…

General Relativity and Quantum Cosmology · Physics 2023-11-07 Manuel E. Rodrigues , Henrique A. Vieira

Based on the Mathisson-Papapetrou-Dixon (MPD) equations and the Vaidya metric, the motion of a spinning point particle orbiting a non-rotating star while undergoing radiation-induced gravitational collapse is studied in detail. A…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Dinesh Singh

The properties of gravitational kinks are studied within some simple models of two dimensional gravity. In spacetimes of cylindrical topology we prove the existence of kinks of constant curvature with arbitrary kink numbers. In $R^1\times…

General Relativity and Quantum Cosmology · Physics 2009-10-28 M. Vasilic , T. Vukasinac

Recently, there has been an interest in exploring black holes that are regular in the sense that the central curvature singularity is avoided. Here, we depict a method to obtain a regular black hole (RBH) spacetime from the unhindered…

General Relativity and Quantum Cosmology · Physics 2025-02-18 Karim Mosani , Pankaj S. Joshi

We study the first-order $\alpha'$ corrections to the singular 4-dimensional massless stringy black holes studied in the nineties in the context of the Heterotic Superstring. We show that the $\alpha'$ corrections not only induce a…

High Energy Physics - Theory · Physics 2019-02-27 Pablo A. Cano , Samuele Chimento , Tomas Ortin , Alejandro Ruiperez

One of the main issues in gravitation is the presence of singularities in the most common space-time solutions of General Relativity, as the case of black holes. A way of constructing regular solutions that remove spacelike singularities…

General Relativity and Quantum Cosmology · Physics 2024-07-30 G. Alencar , Kirill A. Bronnikov , Manuel E. Rodrigues , Diego Sáez-Chillón Gómez , Marcos V. de S. Silva

The existence of black holes in the Universe is nowadays established on the grounds of a blench of astrophysical observations, most notably those of gravitational waves from binary mergers and the imaging of supermassive objects at the…

General Relativity and Quantum Cosmology · Physics 2025-06-24 Haroldo C. D. Lima Junior , Renan B. Magalhães , Gonzalo J. Olmo , Diego Rubiera-Garcia

The motive of this work is to study gravitational collapse in Vaidya space-time embedded in Galileon gravity theory. Galileon gravity is in fact an infrared modification of Einstein gravity, which was proposed as a generalization of the 4D…

General Physics · Physics 2015-06-18 Prabir Rudra , Ujjal Debnath

We derive the matching conditions between FLRW and generalised Vaidya spacetimes with spherical, planar or hyperbolic symmetry, across timelike hypersurfaces. We then construct new models of gravitational collapse of FLRW spacetimes with a…

General Relativity and Quantum Cosmology · Physics 2017-11-22 Filipe C. Mena , João M. Oliveira

We find the general solution of equations of motion for self-gravitating spherical null dust as a perturbative series in powers of the outgoing matter energy-momentum tensor, with the lowest order term being the Vaidya solution for the…

General Relativity and Quantum Cosmology · Physics 2009-01-16 A. Mikovic

The spacetime singularities in classical general relativity are inevitable, which are also predicated by the celebrated singularity theorems. However, it is general belief that singularities do not exist in the nature and they are the…

General Relativity and Quantum Cosmology · Physics 2015-10-20 Sushant G. Ghosh

We extend Vaidya's algorithm for the description of a central mass losing or gaining energy due to electromagnetic-type radiation (`null dust') to the case of arbitrary radial corpuscular radiation. We also demonstrate the remarkable…

General Relativity and Quantum Cosmology · Physics 2020-11-19 Eduard G. Mychelkin , Maxim A. Makukov

In the context of $f(R)$ theories of gravity, we address the problem of finding static and spherically symmetric black hole solutions. Several aspects of constant curvature solutions with and without electric charge are discussed. We also…

General Relativity and Quantum Cosmology · Physics 2010-01-15 A. de la Cruz-Dombriz , A. Dobado , A. L. Maroto

Exact solutions of the gravitational field equations for a mixture of a null charged strange quark fluid and radiation are obtained in a Vaidya space-time. The conditions for the formation of a naked singularity are analyzed by considering…

General Relativity and Quantum Cosmology · Physics 2009-11-07 T. Harko , K. S. Cheng

We seek to obtain a new class of exact solutions of regular black holes in $f(T)$ Gravity with non-linear electrodynamics material content, with spherical symmetry in $4D$. The equations of motion provide the regaining of various solutions…

General Relativity and Quantum Cosmology · Physics 2015-11-02 Ednaldo L. B. Junior , Manuel E. Rodrigues , Mahouton J. S. Houndjo