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Einstein gravity minimally coupled to a self-interacting scalar field is investigated in the static and isotropic situation. We explicitly construct in partially closed form a new black-hole solution with exponentially decaying scalar hair.…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Olaf Bechmann , Olaf Lechtenfeld

The thermal properties of black holes in the presence of quantum fields can be revealed through solutions of the semi-classical Einstein equation. We present a brief but self-contained review of the main features of the semi-classical back…

General Relativity and Quantum Cosmology · Physics 2022-04-13 David Hochberg

Vacuum polarization of the quantized massive fields in Bianchi type I spacetime is investigated from the point of view of the adiabatic approximation and the Schwinger-DeWitt method. It is shown that both approaches give the same results…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Jerzy Matyjasek

Nonlinearly scalarized black holes are investigated in Einstein-scalar-Gauss-Bonnet (EsGB) theory with polynomial coupling functions $\zeta(\phi)$ satisfying $\zeta''(0) = 0$, where $\zeta'(\phi) = 0$ features besides $\phi=0$ solutions…

General Relativity and Quantum Cosmology · Physics 2026-05-12 De-Cheng Zou , Xu Yang , Meng-Yun Lai , Hyat Huang , Bo Liu , Jutta Kunz , Yun Soo Myung , Rui-Hong Yue

We present a new solution in Einstein's General Relativity representing a Schwarzschild black hole immersed in a rotating universe. Such a solution is constructed analytically by means of the last unexplored Lie point symmetry of the Ernst…

General Relativity and Quantum Cosmology · Physics 2024-02-08 Marco Astorino , Riccardo Martelli , Adriano Viganò

A spacetime endowed with an anisotropic fluid is proposed for the interior of a Schwarzschild black hole. The geometry has an instantaneous Minkowski form and is a solution of Einstein's equations with a stress tensor on the r.h.s. obeying…

High Energy Physics - Theory · Physics 2008-01-31 Hristu Culetu

We discuss the properties of the previously constructed model of a Schwarzschild black hole interior where the singularity is replaced by a regular bounce, ultimately leading to a white hole. The model is semiclassical in nature and uses as…

General Relativity and Quantum Cosmology · Physics 2020-10-20 K. A. Bronnikov , S. V. Bolokhov , M. V. Skvortsova

Building on general formulas obtained from the approximate renormalized effective action, the approximate stress-energy tensor of the quantized massive scalar field with arbitrary curvature coupling in the spacetime of charged black hole…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Waldemar Berej , Jerzy Matyjasek

We combine notions of a maximal curvature scale in nature with that of a minimal curvature scale to construct a non-singular Schwarzschild-de Sitter black hole. We present an exact solution within the context of two-dimensional dilaton…

High Energy Physics - Theory · Physics 2018-11-13 Damien A. Easson

Using a static massive spherically symmetric scalar field coupled to gravity in the Schwarzschild-de Sitter (SdS) background, first we consider some asymptotic solutions near horizon and their local equations of state(E.O.S) on them. We…

General Relativity and Quantum Cosmology · Physics 2009-03-24 D. Momeni , A. Azadi

Complex scalar fields described by a novel Klein-Gordon equation derived from gauge and group theories are considered at the Schwarzschild's black hole singularities. It is shown that the field is well-behaved in the vicinity of these…

General Physics · Physics 2026-04-03 Z. E. Musielak , J. L. Fry , G. W. Kanan

In spherical symmetry, solutions of the semiclassical Einstein equations belong to one of two possible classes. Both classes contain solutions that -- depending on the dynamic behavior of the horizon -- describe evaporating physical black…

General Relativity and Quantum Cosmology · Physics 2022-03-10 Pravin K. Dahal , Sebastian Murk , Daniel R. Terno

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…

General Relativity and Quantum Cosmology · Physics 2022-07-21 Kourosh Nozari , Milad Hajebrahimi

The physical interpretation and eventual fate of gravitational singularities in a theory surpassing classical general relativity are puzzling questions that have generated a great deal of interest among various quantum gravity approaches.…

General Relativity and Quantum Cosmology · Physics 2019-11-06 Norbert Bodendorfer , Fabio M. Mele , Johannes Münch

We obtain a new exact black-hole solution in Einstein-Gauss-Bonnet gravity with a cosmological constant which bears a specific relation to the Gauss-Bonnet coupling constant. The spacetime is a product of the usual 4-dimensional manifold…

High Energy Physics - Theory · Physics 2009-11-11 Hideki Maeda , Naresh Dadhich

Recent perturbative studies have shown the existence of long-lived, quasi-stationary configurations of scalar fields around black holes. In particular, such configurations have been found to survive for cosmological timescales, which is a…

General Relativity and Quantum Cosmology · Physics 2015-07-31 Nicolas Sanchis-Gual , Juan Carlos Degollado , Pedro J. Montero , José A. Font

In a seminal work, Hawking showed that natural states for free quantum matter fields on classical spacetimes that solve the spherically symmetric vacuum Einstein equations are KMS states of non-vanishing temperature. Although Hawking's…

General Relativity and Quantum Cosmology · Physics 2024-05-01 Thomas Thiemann

A reformulation of the Schwarzschild solution of the linearised Einstein field equations in post-Riemannian Finsler spacetime is derived. The solution is constructed in three stages: the exterior solution, the event-horizon solution and the…

General Relativity and Quantum Cosmology · Physics 2017-03-20 Carringtone Kinyanjui , Dismas S. Wamalwa

By applying Rosen's quantization approach to the historical Oppenheimer and Snyder gravitational collapse and by setting the constraints for the formation of the Schwarzschild black hole (SBH), in a previous paper [1] two of the Authors (CC…

General Relativity and Quantum Cosmology · Physics 2022-11-28 C. Corda , F. Feleppa , F. Tamburini , I. Licata

The approximate renormalized one-loop effective action of the quantized massive scalar, spinor and vector field in a large mass limit, i.e., the lowest order of the DeWitt-Schwinger expansion involves the coincidence limit of the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jerzy Matyjasek