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In this paper we present an exact solution of Einstein's field equations describing the Schwarzschild black hole in dark energy background. It is also regarded as an embedded solution that the Schwarzschild black hole is embedded into the…

广义相对论与量子宇宙学 · 物理学 2014-09-30 Ngangbam Ishwarchandra , Ng. Ibohal , K. Yugindro Singh

In all 2d theories of gravity a conservation law connects the (space-time dependent) mass aspect function at all times and all radii with an integral of the matter fields. It depends on an arbitrary constant which may be interpreted as…

广义相对论与量子宇宙学 · 物理学 2014-11-17 D. Grumiller , W. Kummer

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…

广义相对论与量子宇宙学 · 物理学 2022-09-14 Emanuele Binetti , Manuel Del Piano , Stefan Hohenegger , Franco Pezzella , Francesco Sannino

An exact and analytical solution, in four-dimensional general relativity coupled with Maxwell electromagnetism, is built by means of a Lie point symmetry of the Ernst equations, the Harrison transformation. The new spacetime describes a…

广义相对论与量子宇宙学 · 物理学 2025-11-20 Marco Astorino

We consider relativistic quantum field theory in the presence of an external electric potential in a general curved space-time geometry. We utilise Fermi coordinates adapted to the time-like geodesic to describe the low-energy physics in…

广义相对论与量子宇宙学 · 物理学 2022-01-10 Qasem Exirifard , Ebrahim Karimi

We study the gravitational perturbations of black holes in quadratic gravity, in which the Einstein-Hilbert term is supplemented by quadratic terms in the curvature tensor. In this class of theories, the Schwarzschild solution can coexist…

广义相对论与量子宇宙学 · 物理学 2025-05-05 Georgios Antoniou , Leonardo Gualtieri , Paolo Pani

In this Letter we derive the gravity field equations by varying the action for an ultraviolet complete quantum gravity. Then we consider the case of a static source term and we determine an exact black hole solution. As a result we find a…

广义相对论与量子宇宙学 · 物理学 2011-02-22 Leonardo Modesto , John W. Moffat , Piero Nicolini

We present, in closed analytic form, a general stationary, slowly rotating black hole, which is solution to a large class of alternative theories of gravity in four dimensions. In these theories, the Einstein-Hilbert action is supplemented…

广义相对论与量子宇宙学 · 物理学 2011-10-27 Paolo Pani , Caio F. B. Macedo , Luis C. B. Crispino , Vitor Cardoso

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…

广义相对论与量子宇宙学 · 物理学 2024-02-08 Marco Astorino , Riccardo Martelli , Adriano Viganò

In this paper we define the radiation field for the wave equation on the Schwarzschild black hole spacetime. In this context it has two components: the rescaled restriction of the time derivative of a solution to null infinity and to the…

偏微分方程分析 · 数学 2015-06-16 Dean Baskin , Fang Wang

This essay gives a very general introduction to Schwarzschild black holes. First, it focuses on some of its classical features as solutions to Einstein's theory of gravity. In the second part it discusses briefly some specific quantum…

科普物理 · 物理学 2019-01-07 Enrico M. Brehm

It is well known that the Schwarzschild solution describes the gravitational field outside compact spherically symmetric mass distribution in General Relativity. In particular, it describes the gravitational field outside a point particle.…

广义相对论与量子宇宙学 · 物理学 2013-09-04 M. O. Katanaev

An original way of presentation of the Schwarzschild black hole in the form of a point-like mass with making the use of the Dirac $\delta$-function, including a description of a continuous collapse to such a point mass, is given. A…

广义相对论与量子宇宙学 · 物理学 2017-12-29 A. N. Petrov

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…

广义相对论与量子宇宙学 · 物理学 2021-10-29 Luca Marchetti , Giancarlo Cella

We review the solution space for the field equations of Einstein's General Relativity for various static, spherically symmetric spacetimes. We consider the vacuum case, represented by the Schwarzschild black hole; the de…

广义相对论与量子宇宙学 · 物理学 2024-10-02 Andronikos Paliathanasis

As one of candidate theories in the construction of regular black holes, Einstein's gravity coupled with nonlinear electrodynamics has been a topic of great concerns. Owing to the coupling between Einstein's gravity and nonlinear…

广义相对论与量子宇宙学 · 物理学 2024-03-05 Yang Guo , Hao Xie , Yan-Gang Miao

A quantum-mechanical prescription of static Einstein field equation is proposed in order to construct the matter-metric eigen-states in the interior of a static Schwarzschild black hole where the signature of space-time is chosen as (--++).…

广义相对论与量子宇宙学 · 物理学 2007-05-23 S. -T. Sung

In this article we analyze the predictions of the Einstein gravitation theory (EGT) on black holes in the framework of the Schwarzschild geometry that is defined in the vacuum around a spherically symmetric mass distribution, without…

广义相对论与量子宇宙学 · 物理学 2010-10-04 M. Cattani

In this paper we study the modification of thermodynamic properties of Schwarzschild and Reissner-Nordstr\"{o}m black hole in the framework of generalized uncertainty principle with correction terms upto fourth order in momentum…

综合物理 · 物理学 2018-06-11 Sunandan Gangopadhyay , Abhijit Dutta

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…

广义相对论与量子宇宙学 · 物理学 2017-03-20 Carringtone Kinyanjui , Dismas S. Wamalwa