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A rigidly rotating incompressible perfect fluid solution of Einstein's gravitational equations is discussed. The Petrov type is D, and the metric admits a four-parameter isometry group. The Gaussian curvature of the constant-pressure…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Zoltán Perjés , Gyula Fodor , László Á. Gergely , Mattias Marklund

The calculation of entanglement entropy S of quantum fields in spacetimes with horizon shows that, quite generically, S (a) is proportional to the area A of the horizon and (b) is divergent. I argue that this divergence, which arises even…

General Relativity and Quantum Cosmology · Physics 2010-12-24 T. Padmanabhan

A simple differential analysis of issue of the correspondence between notion of geodesics in gravitation theory of GTR and straights of inertial motion in the Minkowski space-time discovers that, conventional certification of the geodesics…

General Physics · Physics 2024-02-07 Yaroslav Derbenev

We investigate a simple variation of the Generalized Harmonic method for evolving the Einstein equations. A flat space wave equation for metric perturbations is separated from the Ricci tensor, with the rest of the Ricci tensor becoming a…

General Relativity and Quantum Cosmology · Physics 2009-02-06 Travis Garrett

It is shown that the axial and polar perturbations of the spherically symmetric black hole can be described in a gauge-invariant way. The reduced phase space describing gravitational waves outside of the horizon is described by the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Jacek Jezierski

Using the general solution to the Einstein equations on intersecting null surfaces developed by Hayward, we investigate the non-linear instability of the Cauchy horizon inside a realistic black hole. Making a minimal assumption about the…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Patrick R Brady , Chris M Chambers

The holographic charged fluid with anomalous current in Einstein-Maxwell gravity has been generalized from the infinite boundary to the finite cutoff surface by using the gravity/fluid correspondence. After perturbing the boosted…

High Energy Physics - Theory · Physics 2014-07-01 Xiaojian Bai , Ya-Peng Hu , Bum-Hoon Lee , Yun-Long Zhang

Lorentz symmetry is a fundamental property of Einstein's theory of general relativity that one may wish to test with gravitational wave observations. Einstein-aether theory is a model that introduces Lorentz-symmetry breaking in the…

General Relativity and Quantum Cosmology · Physics 2023-12-01 Kristen Schumacher , Scott Ellis Perkins , Ashley Shaw , Kent Yagi , Nicolas Yunes

Whereas semiclassical gravity is based on the semiclassical Einstein equation with sources given by the expectation value of the stress-energy tensor of quantum fields, stochastic semiclassical gravity is based on the Einstein-Langevin…

General Relativity and Quantum Cosmology · Physics 2015-05-13 B. L. Hu , E. Verdaguer

This paper delineates the first steps in a systematic quantitative study of the spacetime fluctuations induced by quantum fields in an evaporating black hole under the stochastic gravity program. The central object of interest is the noise…

General Relativity and Quantum Cosmology · Physics 2008-11-26 B. L. Hu , Albert Roura

Geometries with horizons offer insights into relationships between general relativity and quantum physics. For static spherically symmetric space-times, the event horizon is coincident with a coordinate anomaly that introduces complications…

General Relativity and Quantum Cosmology · Physics 2008-03-25 James Lindesay

I present a solution to the full Einstein-fluid equations representing a self-gravitating Bjorken flow. The motion and the geometry become inhomogeneous in the plane transversal to the flow and the energy density profile acquires, due to…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Alexander Feinstein

We have obtained the Vlasov equation and Boltzmann kinetic equation using Poisson bracket (classical Hamilton equation) and Rindler Hamiltonian. Further, we treat the whole Universe as a statistical system with galaxies as the point…

General Physics · Physics 2017-01-17 Soma Mitra , Somenath Chakrabarty

We consider a stress-energy tensor describing a pure radiation viscous fluid with conformal symmetry introduced in arXiv:1708.06255. We show that the corresponding equations of motions are causal in Minkowski background and also when…

Analysis of PDEs · Mathematics 2019-01-31 Marcelo M. Disconzi

The recent observation of gravitational waves, stimulates the question of the longtime evolution of the space-time fluctuations. Gravitational waves interact themselves through the nonlinear character of Einstein's equations of general…

General Relativity and Quantum Cosmology · Physics 2016-08-16 Sergio Rica

Gravitational collapse of cylindrical anisotropic fluid has been considered in analogy with the work of Misner and Sharp. Using Darmois matching conditions, the interior cylindrical dissipative fluid (in the form of shear viscosity and heat…

General Physics · Physics 2016-03-01 Sanjukta Chakraborty , Subenoy Chakraborty

In this short talk we review our results from the paper hep-th/0604075 with the main stress on the issues of causality and acoustic metric in eikonal approximation. In addition we correct the formula for the redshift of sound signals from…

High Energy Physics - Theory · Physics 2016-11-15 Eugeny Babichev , Viatcheslav Mukhanov , Alexander Vikman

The Minkowski vacuum in an accelerated frame behaves like a fluid that has not only a finite temperature due to the Unruh effect, but also a finite shear viscosity. Moreover, the ratio of this viscosity to the entropy density exactly…

High Energy Physics - Theory · Physics 2025-02-26 Dmitry D. Lapygin , Georgy Yu. Prokhorov , Oleg V. Teryaev , Valentin I. Zakharov

In this paper, we discuss diameter bound and Gromov-Hausdorff convergence of a twisted conical K\"ahler-Ricci flow on the total spaces of some holomorphic submersions. We also observe that, starting from a model conical K\"ahler metric with…

Differential Geometry · Mathematics 2018-06-12 Yashan Zhang

In this paper, we have considered a toy model of an anisotropic universe and studied the propagation of gravitational waves in such a universe. The consideration of this toy model simplifies the analysis and helps us to illustrate the…

General Relativity and Quantum Cosmology · Physics 2019-08-20 Sucheta Datta , Sarbari Guha