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A system of equations governing the structure of a steady, relativistic radiation dominated shock is derived, starting from the general form of the transfer equation obeyed by the photon distribution function. Closure is obtained by…

Astrophysics · Physics 2009-06-23 Amir Levinson , Omer Bromberg

The assumed universality of the equivalence principle suggests that a particle in a gravitational field has identical physics to one in an accelerated frame. Yet, energy considerations prohibit radiation from a static particle in a…

General Relativity and Quantum Cosmology · Physics 2015-08-11 C. S. Unnikrishnan , George T. Gillies

We study a correspondence between gravitational shockwave geometry and its fluid description near a Rindler horizon in Minkowski spacetime. Utilizing the Petrov classification that describes algebraic symmetries for Lorentzian spaces, we…

High Energy Physics - Theory · Physics 2024-07-29 Sang-Eon Bak , Cynthia Keeler , Yiwen Zhang , Kathryn M. Zurek

Recently, Hawking radiation from a Schwarzschild-type black hole via gravitational anomaly at the horizon has been derived by Robinson and Wilczek. Their result shows that, in order to demand general coordinate covariance at the quantum…

High Energy Physics - Theory · Physics 2014-11-18 Qing-Quan Jiang , Shuang-Qing Wu , Xu Cai

We have solved the Einstein equations of general relativity for a class of metrics with constant spatial curvature and found a non-vanishing Weyl tensor in the presence of an energy-momentum tensor with an anisotropic pressure component.…

General Physics · Physics 2013-09-18 E. Bittencourt , J. M. Salim

We prove global stability of Minkowski space for the Einstein vacuum equations in harmonic (wave) coordinate gauge for the set of restricted data coinciding with Schwartzschild solution in the neighborhood of space-like infinity. The result…

Analysis of PDEs · Mathematics 2011-04-21 Hans Lindblad , Igor Rodnianski

The observation of GW150914 indicated a new independent measurement of the luminosity distance of a gravitational wave event. In this paper, we constrain the anisotropy of the Universe by using gravitational wave events. We simulate…

General Relativity and Quantum Cosmology · Physics 2019-08-19 Zhi-Chao Zhao , Hai-Nan Lin , Zhe Chang

Null cosmic strings are shown to disturb gravitational fields of massive bodies and create outgoing gravitational waves (GW). Perturbations of the metric caused by a straight null string and a point-like massive source are found as…

General Relativity and Quantum Cosmology · Physics 2024-04-11 D. V. Fursaev , E. A. Davydov , I. G. Pirozhenko , V. A. Tainov

In this paper, we prove the nonlinear stability in exponential time of Minkowki space-time with a translation space-like Killing field. In the presence of such a symmetry, the 3 + 1 vacuum Einstein equations reduce to the 2 + 1 Einstein…

Analysis of PDEs · Mathematics 2014-12-22 Cécile Huneau

We estimate the probability of a photon to move faster than light, under the Einstein dynamics which, unlike the wave equation or Maxwell wave dynamics, has singular dispersion relation at zero momentum. We show that this probability goes…

Mathematical Physics · Physics 2016-06-14 Avy Soffer

Minkowski space serves as a framework for the theoretical constructions that deal with manifestations of relativistic effects in physical phenomena. But neither Minkowski himself nor the subsequent developers of the relativity theory have…

General Physics · Physics 2019-01-17 Serge Wagner

Using an Extended Scharzschild-Anti de Sitter (ESAdS) metric here introduced, where the noncompact extra dimension is time-like, we study the gravitational confinement of matter and photons from a 5D vacuum. The important result here…

General Relativity and Quantum Cosmology · Physics 2012-04-20 Mauricio Bellini

We study gravitational radiation produced by time changing matter source in de Sitter spacetime. We consider a cosmological Killing horizon instead of the conformal boundary used in the radiation theory in the Minkowski spacetime. The…

General Relativity and Quantum Cosmology · Physics 2022-09-07 Denis Dobkowski-Ryłko , Jerzy Lewandowski

The energy and momentum transported by exact plane gravitational-wave solutions of Einstein equations are computed using the teleparallel equivalent formulation of Einstein's theory. It is shown that these waves transport neither energy nor…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Yuri N. Obukhov , J. G. Pereira , Guillermo F. Rubilar

We study the initial value problem for the Einstein-Klein-Gordon system and establish the global nonlinear stability of massive matter in the near-Minkowski regime when the initial geometry is a perturbation of an asymptotically flat,…

General Relativity and Quantum Cosmology · Physics 2022-11-15 Philippe G. LeFloch , Yue Ma

Singularities in Newton's gravitation, in general relativity (GR), in Coulomb's law, and elsewhere in classical physics, stem from two ill conceived assumptions: a) there are point-like entities with finite masses, charges, etc., packed in…

General Physics · Physics 2025-03-26 Yousef Sobouti , Haidar Sheikhahmadi

We study a binary system composed of point particles of unequal masses in eccentric orbits in the linear regime of the characteristic formulation of general relativity, generalising a previous study found in the literature in which a system…

General Relativity and Quantum Cosmology · Physics 2016-04-07 C. E. Cedeño M. , J. C. N. de Araujo

We study Finsler black holes induced from Einstein gravity as possible effects of quantum spacetime noncommutativity. Such Finsler models are defined by nonholonomic frames not on tangent bundles but on (pseudo) Riemannian manifolds being…

Mathematical Physics · Physics 2010-04-22 Sergiu I. Vacaru

In this paper, the radiation field is defined for solutions to Einstein vacuum equations which are close to Minkowski space-time with spacial dimension $n\geq 4$. The regularity properties and asymptotic behavior of those Einstein vacuum…

Analysis of PDEs · Mathematics 2014-10-17 Fang Wang

The Einstein equations are non-linear and the particles of which the gravitational effect is described by these equations are lastly unknown. If renormalizable fields are assumed, then results are obtained only in the case of a at space.…

General Physics · Physics 2016-11-25 Alfred Kording
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