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After a brief summary of the foundations of general relativity, we will concentrate on the stationary exact solutions of the Einstein and Einstein-Maxwell equations. A number of these solutions can be interpreted as black holes,…

广义相对论与量子宇宙学 · 物理学 2011-09-06 Gérard Clément

The black hole solutions to Einstein's vacuum field equations are also solutions to the equations of motion of the low energy limit of superstring theory. At the same time, string theory boasts a much broader and richer collection of black…

高能物理 - 理论 · 物理学 2007-05-23 J. C. Breckenridge

Based on the conformal energy theorem we prove the uniqueness theorem for static higher dimensional electrically and magnetically charged black holes being the solution of Einstein (n-2)-gauge forms equations of motion. Black hole spacetime…

高能物理 - 理论 · 物理学 2009-11-10 Marek Rogatko

The aim of this paper is to obtain the solution of the Einstein equation in the interior of the black holes by using arbitrary distribution functions; corresponding to Gaussian, Rayleigh, Maxwell-Boltzmann and non-Gaussian distributions.…

广义相对论与量子宇宙学 · 物理学 2018-03-19 N. A. Hussein , D. A. Eisa , T. A. S. Ibrahim

In the context of $f(R)$ gravity theories, the issue of finding static and spherically symmetric black hole solutions is addressed. Two approaches to study the existence of such solutions are considered: first, constant curvature solutions,…

广义相对论与量子宇宙学 · 物理学 2014-11-20 Alvaro de la Cruz-Dombriz , Antonio Dobado , Antonio L. Maroto

Non-static, spherically symmetric clusters of counter-rotating particles, of the type first introduced by Einstein, are analysed here. The initial data space can be parameterized in terms of three arbitrary functions, namely; initial…

广义相对论与量子宇宙学 · 物理学 2009-10-31 S. Jhingan , G. Magli

In this paper, we first review Huei's formulation in which it is shown that the linearized Einstein equations can be written in the same form as the Maxwell equations. We eliminate some imperfections like the scalar potential which is ill…

广义相对论与量子宇宙学 · 物理学 2015-05-20 A. Bouda , A. Belabbas

Solutions to low energy string theory describing black holes and black strings are reviewed. Many of these solutions can be obtained by applying simple solution generating transformations to the Schwarzschild metric. In a few cases, the…

高能物理 - 理论 · 物理学 2007-05-23 Gary T. Horowitz

We present the first English translation of Einstein's original papers related to the teleparallel ('absolute parallelism', 'distant parallelism' and the German 'Fernparallelismus' are synonyms) attempt of an unified field theory of…

物理学史与哲学 · 物理学 2007-05-23 Alexander Unzicker , Timothy Case

Black hole solutions are explored in the Lorentz gauge theory of gravity. The fields of the theory are the gauge potential in the adjoint and a scalar in the fundamental representation of the Lorentz group, a metric tensor then emerging as…

广义相对论与量子宇宙学 · 物理学 2024-09-06 Tomi S. Koivisto , Luxi Zheng

We present solutions of the Einstein equations that extend the static Schwarzschild solution in empty space into regions of non-zero energy density $\rho$ and radial pressure $p= w \rho$, where $w$ is a constant equation of state parameter.…

综合物理 · 物理学 2019-09-10 André LeClair

We present a basics of the Einstein General Theory of Relativity. In the first part of this review we derive relations of Riemann geometry which are used in the General Relativity. In the second part we discuss Einstein Equations and some…

广义相对论与量子宇宙学 · 物理学 2020-10-23 S. M. Bilenky

There exists some confusion, as evidenced in the literature, regarding the nature of the gravitational field in Einstein's General Theory of Relativity. It is argued here the this confusion is a result of a change in interpretation of the…

综合物理 · 物理学 2007-05-23 Peter M. Brown

The Einstein equations for static gravitational field depend on energy density and pressure. So one may expect that solutions should depend on two parameters: mass and its analogue originated from pressure. Yet the Schwarzschild solution…

广义相对论与量子宇宙学 · 物理学 2009-12-31 A. I. Nikishov

Regular and black-hole solutions of the spontaneously broken Einstein-Yang-Mills-Higgs theory with nonminimal coupling to gravity are shown to exist. The main characteristics of the solutions are presented and differences with respect to…

高能物理 - 理论 · 物理学 2010-11-19 J. J. van der Bij , Eugen Radu

The issue of the physical equivalence between the different coordinate system in Einstein theory is revised. Gauge fixing influences results of measurements and physics are different in two different coordinate system. Spacetime metric…

综合物理 · 物理学 2012-12-27 Sergey M. Kozyrev , Rinat A. Daishev

In this paper, we consider Einstein-Hilbert gravity in the presence of cosmological constant with cylindrical symmetry to introduce the black hole solution of this model. Here, we solve the Einstein's vacuum field equation, and then we…

广义相对论与量子宇宙学 · 物理学 2023-04-24 Mehdi Sadeghi , Ramin Anvari Asl , Mohammad Shamseh

According to the Einstein, Weinberg, and M{\o}ller energy-momentum complexes, we evaluate the energy distribution of the singularity-free solution of the Einstein field equations coupled to a suitable nonlinear electrodynamics suggested by…

广义相对论与量子宇宙学 · 物理学 2011-08-24 I-Ching Yang , Chi-Long Lin , Irina Radinschi

We study spherically symmetric black hole solutions in a four-parameter Einstein-Cartan-type class of theories, called "torsion bigravity". These theories offer a geometric framework (with a metric and an independent torsionfull connection)…

广义相对论与量子宇宙学 · 物理学 2020-10-21 Vasilisa Nikiforova , Thibault Damour

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
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