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We use the phenomenological approach to study properties of space-time in the vicinity of the Schwarzschild black-hole singularity. Requiring finiteness of the Schwarzschild-like metrics we come to the notion of integrable singularity that…

General Relativity and Quantum Cosmology · Physics 2013-01-24 Vladimir N. Lukash , Vladimir N. Strokov

This article puts forward a hypothesis.In this article, the derivative of the cosmological constant is positive, and there is a possibility that the constant evolves from negative in the early universe to positive in the later period. We…

General Relativity and Quantum Cosmology · Physics 2022-04-19 Wen-Xiang Chen , Yao-Guang Zheng

In this work we use the theory of Teleparallelism Equivalent to General Relativity based in non-commutative space-time coordinates. In this context, we write the corrections of the Schwarzschild solution. As a important result, we find the…

General Relativity and Quantum Cosmology · Physics 2013-12-06 S. C. Ulhoa , R. G. G. Amorim

We propose an alternative description of the Schwarzschild black hole based on the requirement that the solution be static not only outside the horizon but also inside it. As a consequence of this assumption, we are led to a change of…

General Relativity and Quantum Cosmology · Physics 2018-09-13 L. Herrera , L. Witten

The propagation of electromagnetic plane waves with negative phase velocity (NPV) is considered in Schwarzschild-(anti-)de Sitter spacetime. It is demonstrated that NPV propagation occurs in Schwarzschild-de Sitter spacetime at lower values…

Astrophysics · Physics 2017-06-14 Tom G. Mackay , Akhlesh Lakhtakia , Sandi Setiawan

The dynamics of extended bodies endowed with multipolar structure up to the mass quadrupole moment is investigated in the Schwarzschild background according to the Dixon's model, extending previous works. The whole set of evolution…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Donato Bini , Andrea Geralico

Building upon the work of Brendle, Marques and Neves on the construction of counterexamples to Min-Oo's conjecture, we exhibit deformations of the de Sitter-Schwarzschild space of dimension $n\geq 3$ satisfying the dominant energy condition…

Differential Geometry · Mathematics 2014-11-07 C. Tiarlos Cruz , Levi Lopes de Lima , José Fabio Montenegro

We consider the revised Deser-Woodard model of nonlocal gravity by reformulating the related field equations within a suitable tetrad frame. This transformation significantly simplifies the treatment of the ensuing differential problem…

General Relativity and Quantum Cosmology · Physics 2025-06-24 Rocco D'Agostino , Vittorio De Falco

This is the second of two works, in which we discuss the definition of an appropriate notion of mass for static metrics, in the case where the cosmological constant is positive and the model solutions are compact. In the first part, we have…

Analysis of PDEs · Mathematics 2022-03-10 Stefano Borghini , Lorenzo Mazzieri

This note tackles the problem of the backscattering of a mass-less scalar field in the case of Schwarzschildean space-time. It shows that the effect depends both on a distance from the horizon and on the wave length. The obtained estimates…

Astrophysics · Physics 2009-11-06 Krzysztof Roszkowski

Quantum gravitational corrections to the entropy of the Schwarzschild black hole, derived using the Wald entropy formula within an effective field theory framework, were presented in [X. Calmet, F. Kuipers Phys.Rev.D 104 (2021) 6, 066012].…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Alexey Dubinsky

This paper utilizes the {\it Black Hole Vision} smartphone application to catalyze a pedagogical shift in General Relativity education through the quantitative analysis of simulated black hole imaging. Presented here for the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2026-05-22 Lior M. Burko

We study geodesics in the Schwarzschild space-time affected by an uncertainty in the mass parameter described by a Gaussian distribution. This study could serve as a first attempt at investigating possible quantum effects of black hole…

General Relativity and Quantum Cosmology · Physics 2019-07-24 R. Casadio , A. Giusti , A. Mentrelli

The complete set of analytic solutions of the geodesic equation in a Schwarzschild--(anti) de Sitter space--time is presented. The solutions are derived from the Jacobi inversion problem restricted to the theta--divisor. In its final form…

General Relativity and Quantum Cosmology · Physics 2015-06-01 Eva Hackmann , Claus Lämmerzahl

We study spinoptics equations in the Schwarzschild spacetime. We demonstrate that using the explicit and hidden symmetries of this metric one can explicitly solve the equations for complex null tetrad associated with null rays representing…

General Relativity and Quantum Cosmology · Physics 2024-10-28 Valeri P. Frolov

An exact solution of Einstein's equations representing the static gravitational field of a quasi-spherical source endowed with both mass and mass quadrupole moment is considered. It belongs to the Weyl class of solutions and reduces to the…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Donato Bini , Christian Cherubini , Simonetta Filippi , Andrea Geralico

General 2d dilaton theories, containing spherically symmetric gravity and hence the Schwarzschild black hole as a special case, are quantized by an exact path integral of their geometric (Cartan-) variables. Matter, represented by minimally…

High Energy Physics - Theory · Physics 2009-10-31 W. Kummer , H. Liebl , D. V. Vassilevich

A systematic approach to the coordinate transformations in the Schwarzschild singularity problem is considered. It is shown that both singularities at r=0 and r=2m can be eliminated by suitable coordinate transformations.

General Relativity and Quantum Cosmology · Physics 2008-02-03 Vu B Ho

We develop a symmetric traversable wormhole model, integrating Einstein's gravitational coupling phantom field and a nonlinear electromagnetic field. This work indicates the emergence of negative ADM mass within a specific parameter range,…

General Relativity and Quantum Cosmology · Physics 2023-12-08 Chen-Hao Hao , Long-Xing Huang , Xin Su , Yong-Qiang Wang

Black holes are among the most intriguing objects in nature. They are believed to be fully described by General Relativity (GR), and the astrophysical black holes are expected to belong to the Kerr family, obeying the no-hair theorems.…

General Relativity and Quantum Cosmology · Physics 2020-05-12 Renan B. Magalhães , Luiz C. S. Leite , Luís C. B. Crispino