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The $n$-time generalization of Schwarzschild solution is considered. The equations of geodesics for the metric are integrated. The multitemporal analogues of Newton laws for the extended objects described by the solution are suggested. The…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Vladimir D. Ivashchuk , Vitaly N. Melnikov

The static vacuum spherically symmetric solutions in massive gravity are obtained both analytically and numerically. The solutions depend on two parameters (integration constants): the mass M (or, equivalently, the Schwarzschild radius),…

General Relativity and Quantum Cosmology · Physics 2011-06-10 Michael V. Bebronne , Peter G. Tinyakov

We study the quantum gravitational effects in spherically symmetric black hole spacetimes. The effective quantum spacetime felt by a point-like test mass is constructed by ``renormalization group improving'' the Schwarzschild metric. The…

High Energy Physics - Theory · Physics 2009-10-31 A. Bonanno , M. Reuter

We present a covariant model of a spherically symmetric black hole with corrections motivated by loop quantum gravity. The effective modifications, parametrized by a positive constant $\lambda$, are implemented through a canonical…

General Relativity and Quantum Cosmology · Physics 2022-10-07 Asier Alonso-Bardaji , David Brizuela , Raül Vera

We explore the quantum nature of black holes by introducing an effective framework that takes into account deviations from the classical results. The approach is based on introducing quantum corrections to the classical Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2022-09-14 Emanuele Binetti , Manuel Del Piano , Stefan Hohenegger , Franco Pezzella , Francesco Sannino

We developed a numerical code which evolves the semiclassical Einstein's equation (with the quantum stress-energy contribution added as a source term) for the spherically symmetric metric inside an evaporating semiclassical charged black…

General Relativity and Quantum Cosmology · Physics 2026-01-15 Gil Arad

We consider a broad class of static, spherically symmetric generalized Schwarzschild-like solutions with multiple non-interacting anisotropic fluid sources and derive the coordinate transformation from Schwarzschild-like (curvature) to…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Zeyu Zeng , Elena Kopteva

Based on the perspective that continuum gravitational physics is an emergent quantum gravitational phenomenon, and that spacetime thermodynamic is the natural langauge in which it can be described, we derive a modified Schwarzschild-de…

General Relativity and Quantum Cosmology · Physics 2021-10-29 Luca Marchetti , Giancarlo Cella

We apply a formulation of Einstein's general relativity with only cubic interactions for deriving the metric of a Schwarzschild black hole to all orders in perturbation theory. This cubic interactions formulation coupled to effective…

High Energy Physics - Theory · Physics 2024-09-02 Stavros Mougiakakos , Pierre Vanhove

We discuss a four-dimensional gravitational action which was obtained replacing a Randall-Sundrum type metric in the so called five-dimensional Einstein-Chern-Simons gravity action. We studied black hole solutions of the corresponding…

High Energy Physics - Theory · Physics 2022-10-12 S. Lepe , C. Riquelme , P. Salgado

We consider the canonical quantisation of spherically symmetric spacetimes within unimodular gravity, leaving sign choices in the metric general enough to include both the interior and exterior Schwarzschild-(Anti-)de Sitter spacetime. In…

High Energy Physics - Theory · Physics 2025-06-12 Steffen Gielen , Sofie Ried

We first present an overview of the Schwarzschild vacuum spacetime within general relativity, with particular emphasis on the role of scalar polynomial invariants and the null frame approach (and the related Cartan invariants), that…

General Relativity and Quantum Cosmology · Physics 2025-03-18 Alan A. Coley , Nicholas T. Layden , Diego F. Lopez

The metric outside an isolated object made up of ordinary matter is bound to be the classical Schwarzschild vacuum solution of General Relativity. Nevertheless, some solutions are known (e.g. Morris-Thorne wormholes) that do not match…

General Relativity and Quantum Cosmology · Physics 2015-06-01 V. Bozza , A. Postiglione

We present a polymer quantization of spherically symmetric Einstein gravity in which the polymerized variable is the area of the Einstein-Rosen wormhole throat. In the classical polymer theory, the singularity is replaced by a bounce at a…

General Relativity and Quantum Cosmology · Physics 2010-04-06 G. Kunstatter , J. Louko , A. Peltola

The spherically symmetric deformation of the Schwarzschild solution owing to the quantum corrections to gravity is known as Kazakov-Solodukhin black-hole metric. Neglecting non-spherical deformations of the background the problem was solved…

General Relativity and Quantum Cosmology · Physics 2020-03-20 R. A. Konoplya

We describe a numerical code that solves Einstein's equations for a Schwarzschild black hole in spherical symmetry, using a hyperbolic formulation introduced by Choquet-Bruhat and York. This is the first time this formulation has been used…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Mark A. Scheel , Thomas W. Baumgarte , Gregory B. Cook , Stuart L. Shapiro , Saul A. Teukolsky

We study a solution of the Einstein's equations generated by a self-gravitating, anisotropic, static, non-singular matter fluid. The resulting Schwarzschild like solution is regular and accounts for smearing effects of noncommutative…

High Energy Physics - Theory · Physics 2015-02-05 Antonia Micol Frassino

The Schwarzschild-deSitter metric is the known solution of Einstein field equations with cosmological constant term for vacuum spherically symmetric space around a point mass M. Recently it has been reported that in a $Lamda$-dominant world…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Amir H. Abbassi

For long black holes have been considered as endowed with a definite temperature. Yet when the Schwarzschild black hole is treated as a canonical ensemble three problems arise: incompatibility with the Hawking radiation, divergence of the…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Gilad Gour

We discuss the opportunity that the singularity inside a Schwarzschild black hole could be replaced by a regular bounce, described as a regular minimum of the spherical radius (instead of zero) and a regular maximum of the longitudinal…

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