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We study spherically symmetric static empty space solutions in $R+\varepsilon/R$ model of $f(R)$ gravity. We show that the Schwarzschild metric is an exact solution of the resulted field equations and consequently there are general…

综合物理 · 物理学 2015-06-03 Kh. Saaidi , S. W. Rabiei , A. Aghamohammadi

Motivated by quantum mechanical corrections to the Newtonian potential, which can be translated into an $\hbar$-correction to the $g_{00}$ component of the Schwarzschild metric, we construct a quantum mechanically corrected metric assuming…

广义相对论与量子宇宙学 · 物理学 2017-06-02 P. Bargueño , S. Bravo Medina , M. Nowakowski , D. Batic

With the advent of gravitational wave astronomy and first pictures of the "shadow" of the central black hole of our milky way, theoretical analyses of black holes (and compact objects mimicking them sufficiently closely) have become more…

广义相对论与量子宇宙学 · 物理学 2021-05-21 Christian Pfeifer , Sebastian Schuster

We investigate the properties of static and axisymmetric vacuum solutions of Einstein equations which generalize the Schwarzschild spherically symmetric solution to include a quadrupole parameter. We test all the solutions with respect to…

广义相对论与量子宇宙学 · 物理学 2025-03-13 Francisco Frutos-Alfaro , Hernando Quevedo , Pedro Sánchez

Using the exact solution to Einstein equations of Compere and Long for the Schwarzschild metric containing supertranslation field, we study the near-horizon symmetries of the metric. We consider class of metrics with supertranslation field…

高能物理 - 理论 · 物理学 2019-04-03 Mikhail Z. Iofa

We introduce a two-parameter static, nonspherically-symmetric black hole solution in the Einstein theory of gravity coupled with a massless scalar field. The scalar field depends only on the polar coordinate $\theta$ in the spherical…

广义相对论与量子宇宙学 · 物理学 2025-02-21 S. Habib Mazharimousavi

We consider the quantization of the complete extension of the Schwarzschild space-time using spherically symmetric loop quantum gravity. We find an exact solution corresponding to the semi-classical theory. The singularity is eliminated but…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Rodolfo Gambini , Jorge Pullin

We envisage a black hole perturbed by a force-free magnetic field (FFMF) outside and attempt to determine its structure. We suppose the metric that describes this black hole is of the static spherical type, that is Schwarzschild, and the…

广义相对论与量子宇宙学 · 物理学 2022-11-03 Haidar Sheikhahmadi

We calculate the gravitational perturbations produced by a small mass in eccentric orbit about a much more massive Schwarzschild black hole and use the numerically computed perturbations to solve for the metric. The calculations are…

广义相对论与量子宇宙学 · 物理学 2010-11-23 Seth Hopper , Charles R. Evans

Loop quantum cosmology is a symmetry-reduced application of loop quantum gravity that has led to the resolution of classical singularities such as the big bang, and those at the center of black holes. This can be seen through numerical…

广义相对论与量子宇宙学 · 物理学 2020-01-08 Alec Yonika , Gaurav Khanna

We investigate the vacuum and charged spherically symmetric static solutions of the Einstein equations on cosmological background. The background metric is not flat, but curved, with constant - curvature spatial sections. Both vacuum and…

广义相对论与量子宇宙学 · 物理学 2007-05-23 M. N. Tentyukov

We explore static and spherically symmetric solutions of the 4-dimensional semiclassical Einstein's equations using the quantum vacuum polarization of a conformal field as a source. These solutions may be of interest for \black{the study…

广义相对论与量子宇宙学 · 物理学 2023-05-16 Pau Beltrán-Palau , Adrián del Río , José Navarro-Salas

This work explores the intersection of quantum mechanics and curved spacetime by employing the Wigner formalism to investigate quantum systems in the vicinity of black holes. Specifically, we study the quantum dynamics of a probe particle…

广义相对论与量子宇宙学 · 物理学 2026-05-21 David Garcia-Garcia , Jose A. R. Cembranos

Applying the quantum field theoretic perturbiner approach to Einstein gravity, we compute the metric of a Schwarzschild black hole order by order in perturbation theory. Using recursion, this calculation can be carried out in de Donder…

高能物理 - 理论 · 物理学 2024-05-31 Poul H. Damgaard , Kanghoon Lee

We address the spherical accretion of generic fluids onto black holes. We show that, if the black hole metric satisfies certain conditions, in the presence of a test fluid it is possible to derive a fully relativistic prescription for the…

广义相对论与量子宇宙学 · 物理学 2012-08-07 Daniel C. Guariento , J. E. Horvath

In this article we investigate the properties of the asymptotically Schwarzschild-like metric as an alternative to the Schwarzschild solution in General Relativity. While asymptotically flat and similar to Schwarzschild at large distances…

广义相对论与量子宇宙学 · 物理学 2025-11-18 K. K. Ernazarov

In a recent work [arXiv:2307.13489 [gr-qc]], we have described spherically symmetric and static quantum black holes as deformations of the classical Schwarzschild metric that depend on the physical distance to the horizon. We have developed…

广义相对论与量子宇宙学 · 物理学 2024-03-20 Manuel Del Piano , Stefan Hohenegger , Francesco Sannino

We develop a new covariant formalism to treat spherically symmetric spacetimes in metric} f(R) theories of gravity. Using this formalism we derive the general equations for a static and spherically symmetric metric in a general…

广义相对论与量子宇宙学 · 物理学 2010-04-22 Anne Marie Nzioki , Sante Carloni , Rituparno Goswami , Peter K. S. Dunsby

In this paper, we present static and spherically symmetric vacuum solutions to the mass-dimension $d\leq 4$ action of an effective-field theory, choosing the diffeomorphism symmetry to be broken explicitly. By using the reduced-action…

广义相对论与量子宇宙学 · 物理学 2025-07-09 Samy Aoulad Lafkih , Nils A. Nilsson , Marie-Christine Angonin , Christophe Le Poncin-Lafitte

In the context of the recently proposed type-II minimally modified gravity theory, i.e. a metric theory of gravity with two local physical degrees of freedom that does not possess an Einstein frame, we study spherically symmetric vacuum…

广义相对论与量子宇宙学 · 物理学 2021-03-12 Antonio De Felice , Andreas Doll , François Larrouturou , Shinji Mukohyama