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So-called "regular black holes" are a topic currently of considerable interest in the general relativity and astrophysics communities. Herein we investigate a particularly interesting regular black hole spacetime described by the line…

General Relativity and Quantum Cosmology · Physics 2019-03-01 Alex Simpson , Matt Visser

We show that there is an inconsistency in the class of solutions obtained in Phys. Rev. D {\bf 95}, 084037 (2017). This inconsistency is due to the approximate relation between lagrangian density and its derivative for Non-Linear…

General Relativity and Quantum Cosmology · Physics 2017-12-12 Manuel E. Rodrigues , Ednaldo L. B. Junior

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…

General Relativity and Quantum Cosmology · Physics 2023-02-14 Rajes Ghosh , Mostafizur Rahman , Akash K Mishra

Considering an action in F(G) modified gravity, the static spherically symmetric solutions are investigated. Introducing the Lagrangian multipliers {\alpha} we obtain the Lagrangian and equations of motion. we obtain two type solutions for…

General Relativity and Quantum Cosmology · Physics 2025-07-15 Naser Mohammadipour

In Atazadeh and Hadi (JCAP \textbf{01}, 067 (2024)), the authors proposed that black bounce solutions, such as the Simpson-Visser and the Bardeen-type spacetimes, can be obtained from Rastall gravity. To achieve these spacetimes, the…

General Relativity and Quantum Cosmology · Physics 2024-05-03 Manuel E. Rodrigues , Marcos V. de S. Silva

In this paper, we present charged spherically symmetric black hole solutions and slowly rotating charged solutions in bumblebee gravity with and without a cosmological constant. The static spherically symmetric solutions describe the…

General Relativity and Quantum Cosmology · Physics 2025-03-25 Jia-Zhou Liu , Wen-Di Guo , Shao-Wen Wei , Yu-Xiao Liu

We derive static spherically symmetric regular black holes as vacuum solutions to purely gravitational theories in four dimensions. To that end, we construct four-dimensional non-polynomial gravities starting from subclasses of…

General Relativity and Quantum Cosmology · Physics 2026-02-20 Johanna Borissova , Raúl Carballo-Rubio

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

The paper is a brief review on the existence and basic properties of static, spherically symmetric regular black hole solutions of general relativity, where the source of gravity is represented by nonlinear electromagnetic fields with the…

General Relativity and Quantum Cosmology · Physics 2022-11-03 Kirill A. Bronnikov

In this work, the trajectories of particles around a black bounce spacetime are considered, with the Simpson-Visser model serving as an example. Trajectories for massless and massive particles are obtained through the study of null and…

General Relativity and Quantum Cosmology · Physics 2024-04-29 Marcos V. de S. Silva , Manuel E. Rodrigues

We perform the first nonlinear and self-consistent study of the merger and ringdown of a black hole mimicking object with stable light rings. To that end, we numerically solve the full Einstein-Klein-Gordon equations governing the head-on…

General Relativity and Quantum Cosmology · Physics 2024-07-23 Nils Siemonsen

We develop a new iterative method for finding approximate solutions for spherical bounces associated with the decay of the false vacuum in scalar field theories. The method works for any generic potential in any number of dimensions,…

High Energy Physics - Theory · Physics 2016-10-04 Roman V. Buniy

In nonlinear electrodynamics coupled to gravity, regular spherically symmetric electrically charged solutions satisfy the weak energy condition and have obligatory de Sitter centre. By the G\"urses-G\"ursey algorithm they are transformed to…

General Relativity and Quantum Cosmology · Physics 2015-10-07 Irina Dymnikova , Evgeny Galaktionov

An exact and analytical solution of four dimensional vacuum General Relativity representing a system of two static black holes at equilibrium is presented. The metric is completely regular outside the event horizons, both from curvature and…

General Relativity and Quantum Cosmology · Physics 2023-08-22 Marco Astorino , Adriano Viganò

In this work, we consider an extension of the symmetric teleparallel equivalent of General Relativity (STEGR), namely, $f(\mathbb{Q})$ gravity, by including a boundary term $\mathbb{B}_Q$, where $\mathbb{Q}$ is the non-metricity scalar.…

General Relativity and Quantum Cosmology · Physics 2024-04-01 José Tarciso S. S. Junior , Francisco S. N. Lobo , Manuel E. Rodrigues

We present new regular black hole solutions in general relativity (GR) within a static, spherically symmetric framework governed by a variable equation of state, following the approach of [Class. Quant. Grav. 42, 025024 (2025)]. The matter…

We study spherically symmetric magnetically charged generic black hole solutions of general relativity coupled to non-linear electrodynamics (NED). For characteristic values of the generic spacetime parameters we give the position of…

General Relativity and Quantum Cosmology · Physics 2019-10-01 Jaroslav Vrba , Ahmadjon Abdujabbarov , Arman Tursunov , Bobomurat Ahmedov , Zdeněk Stuchlík

Based on the recently introduced black-bounce spacetimes, we shall consider the construction of the related spherically symmetric thin-shell traversable wormholes within the context of standard general relativity. All of the really unusual…

General Relativity and Quantum Cosmology · Physics 2020-06-23 Francisco S. N. Lobo , Alex Simpson , Matt Visser

We present a direct, geometric derivation of the generalized Smarr formula for the stationary axially symmetric black holes with nonlinear electromagnetic fields. The additional term is proven to be proportional to the integral of the trace…

General Relativity and Quantum Cosmology · Physics 2018-01-08 Luka Gulin , Ivica Smolić

We present a procedure that transforms a singular, asymptotically flat, static and spherically symmetric black hole into a regular black hole spacetime. The regular black hole is a solution of General Relativity theory coupled to nonlinear…

General Relativity and Quantum Cosmology · Physics 2023-06-14 Pedro Cañate , Santiago Esteban Perez Bergliaffa