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In this study we obtain the solution of the spherically symmetric de Sitter solution of black holes using a general form of distribution functions which include Gaussian, Rayleigh, and Maxwell-Boltzmann distribution as a special case. We…

General Relativity and Quantum Cosmology · Physics 2020-08-17 M F Mourad , N H Hussein , D A Eisad , T A S Ibrahima

We present a canonical model of spherical gravity with covariant corrections motivated by loop quantum gravity. The effective Hamiltonian defines univocally a family of geometries that generalizes the Lema\^itre-Tolman-Bondi spacetimes, and…

General Relativity and Quantum Cosmology · Physics 2025-06-05 Asier Alonso-Bardaji

We consider a way to avoid black hole singularities by gluing a black hole exterior to an interior with a tube-like geometry consisting of a direct product of two-dimensional AdS, dS, or Rindler spacetime with a two-sphere of constant…

General Relativity and Quantum Cosmology · Physics 2009-11-11 O. B. Zaslavskii

A regular solution of the system of coupled equations of the nonlinear electrodynamics and gravity describing static and spherically-symmetric black holes in an asymptotically de Sitter universe is constructed and analyzed. Special emphasis…

General Relativity and Quantum Cosmology · Physics 2009-02-12 Jerzy Matyjasek , Dariusz Tryniecki , Mariusz Klimek

Generalizations of the Black Hole geometry of Ba\~nados, Teitelboim and Zanelli (BTZ) are presented. The theory is three-dimensional vacuum Einstein theory with a negative cosmological constant. The $n$-black-hole solution has $n$…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Dieter R. Brill

We consider the classification of asymptotically flat, stationary, vacuum black hole spacetimes in four and five dimensions, that admit one and two commuting axial Killing fields respectively. It is well known that the Einstein equations…

General Relativity and Quantum Cosmology · Physics 2023-01-05 James Lucietti , Fred Tomlinson

A spacetime is a connected 4-dimensional semi-Riemannian manifold endowed with a metric $g$ with signature $(- + + +)$. The geometry of a spacetime is described by the metric tensor $g$ and the Ricci tensor $S$ of type $(0, 2)$ whereas the…

Differential Geometry · Mathematics 2019-08-12 R. Deszcz , A. H. Hasmani , V. G. Khambholja , A. A. Shaikh

A four-dimensional black hole solution of the Einstein equations with a positive cosmological constant, coupled to a conformal scalar field, is given. There is a curvature singularity at the origin, and scalar field diverges inside the…

High Energy Physics - Theory · Physics 2009-11-07 Cristian Martinez , Ricardo Troncoso , Jorge Zanelli

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

We study non-minimal quantum fields in the gravitational field of 2-dimensional dilaton black holes and the de Sitter spacetime. We found that the Green functions for non-minimal massless fields in a particular class of dilaton black holes…

High Energy Physics - Theory · Physics 2014-11-18 Andrei Zelnikov

The Reissner-Nordstrom-de Sitter black holes of standard Einstein-Maxwell theory with a cosmological constant have no analogue in dilatonic theories with a Liouville potential. The only exception are the solutions of maximal mass, the…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Raphael Bousso

Neves and Saa introduced a two parameter spacetime that includes the Hayward, Bardeen, and Simpson-Visser geometries as particular cases. In this work, we employ the generalized off-shell Helmholtz free energy method to investigate the…

General Relativity and Quantum Cosmology · Physics 2026-05-22 A. A. M. Silva , M. H. Macedo , R. R. Landim

We investigate stable central structures in multiply-connected, anti de Sitter spacetimes with spherical, planar and hyperbolic geometries. We obtain an exact solution for the pressure in terms of the radius when the density is constant. We…

General Relativity and Quantum Cosmology · Physics 2009-10-31 W. L. Smith , R. B. Mann

We propose a regular black hole whose inside generates a de Sitter space and then is finally frustrated into a singularity. It is a modified model which was suggested originally by Frolov, Markov, and Mukhanov. In our model, we could adjust…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Dong-han Yeom , Heeseung Zoe

We present a compactified version of the 3-dimensional black hole recently found by considering extra identifications and determine the analytical continuation of the solution beyond its coordinate singularity by extending the…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Masaru Siino

In this work we study regular black holes from a global perspective looking for evading some of the well-known singularity theorems by using their "reverses". Then, model geometries for the slices of typical spherically symmetric, (locally)…

General Relativity and Quantum Cosmology · Physics 2020-11-18 Pedro Bargueño

We introduce a multipolar scheme for describing the structure of stationary, axisymmetric, force-free black-hole magnetospheres in the ``3+1'' formalism. We focus here on Schwarzschild spacetime, giving a complete classification of the…

Astrophysics · Physics 2009-10-31 Pranab Ghosh

Regular black holes offer a compelling framework to explore the consequences of resolving the central singularity of standard black holes. Using the Simpson-Visser "black-bounce" geometry as an elegant, analytically tractable framework, we…

General Relativity and Quantum Cosmology · Physics 2025-12-17 Vinayak Joshi , Ashok B. Joshi

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

We present an effective theory to describe the quantization of spherically symmetric vacuum in loop quantum gravity. We include anomaly-free holonomy corrections through a canonical transformation of the Hamiltonian of general relativity,…

General Relativity and Quantum Cosmology · Physics 2023-04-18 Asier Alonso-Bardaji , David Brizuela , Raül Vera