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In this article, we present a gravitational collapse null dust solution of the Einstein field equations. The spacetime is regular everywhere except on the symmetry axis where it possesses a naked curvature singularity, and admits one…

General Relativity and Quantum Cosmology · Physics 2017-06-14 Faizuddin Ahmed

We study spherically symmetric configurations of the quadratic $f(R)$ gravity in the Einstein frame. In case of a purely gravitational system, we have determined the global qualitative behavior of the metric and the scalaron field for all…

General Relativity and Quantum Cosmology · Physics 2024-07-30 V. I. Zhdanov , O. S. Stashko , Yu. V. Shtanov

We show that the symmetry algebra of asymptotically flat four dimensional spacetimes at null infinity in the sense of Newman and Unti is isomorphic to the direct sum of the abelian algebra of infinitesimal conformal rescalings with bms4. We…

General Relativity and Quantum Cosmology · Physics 2013-01-30 Glenn Barnich , Pierre-Henry Lambert

We analyze the asymptotic symmetries and their associated charges at spatial infinity in $4$-dimensional asymptotically-flat spacetimes. We use the covariant formalism of Ashtekar and Hansen where the asymptotic fields and symmetries live…

General Relativity and Quantum Cosmology · Physics 2020-08-05 Kartik Prabhu , Ibrahim Shehzad

We begin by emphasizing that we are dealing with standard Einstein or Einstein-Maxwell theory - absolutely no new physics has been inserted. The fresh item is that the well-known asymptotically flat solutions of the Einstein-Maxwell theory…

General Relativity and Quantum Cosmology · Physics 2016-02-24 Ezra T. Newman

Using the solution phase space method, we investigate the conserved charges of BTZ-like black holes in Einstein-bumblebee gravity. Our study shows that the black hole mass, angular momentum and entropy are influenced by the…

High Energy Physics - Theory · Physics 2025-09-01 Hai-Feng Ding

The possibility that the asymptotic quasi-normal mode (QNM) frequencies can be used to obtain the Bekenstein-Hawking entropy for the Schwarzschild black hole -- commonly referred to as Hod's conjecture -- has received considerable…

High Energy Physics - Theory · Physics 2009-11-11 Archisman Ghosh , S. Shankaranarayanan , Saurya Das

We present a characterization of the asymptotics of all asymptotically flat stationary vacuum solutions of Einstein's field equations. This characterization is given in terms of two sequences of symmetric trace free tensors (we call them…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Andrés E. Aceña

In this paper we study the magnetic charges of the free massless Rarita-Schwinger field in four dimensional asymptotically flat space-time. This is the first step towards extending the study of the dual BMS charges to supergravity. The…

High Energy Physics - Theory · Physics 2022-01-31 Bilyana L. Tomova

We consider a static, axially symmetric, and asymptotically flat exact solution of the Einstein vacuum equations, known as the gamma metric. This is characterized by two constant parameters $m$ and $\gamma$. We find that the total energy…

General Relativity and Quantum Cosmology · Physics 2007-05-23 K. S. Virbhadra

This paper continues the investigation of the formation of naked singularities in the collapse of collisionless matter initiated in [RV]. There the existence of certain classes of non-smooth solutions of the Einstein-Vlasov system was…

General Relativity and Quantum Cosmology · Physics 2018-03-28 Alan D. Rendall , Juan J. L. Velázquez

In the present work we analyze all the possible spherically symmetric exterior vacuum solutions allowed by the Einstein-Aether theory with static aether. We show that there are four classes of solutions corresponding to different values of…

General Relativity and Quantum Cosmology · Physics 2021-04-16 R. Chan , M. F. A. da Silva , V. H. Satheeshkumar

We study the occurrence of naked singularities in the spherically symmetric collapse of a charged null fluid in an expanding deSitter background - a piece of charged Vaidya-deSitter spacetime. The necessary conditions for the formation of a…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. Beesham , S. G. Ghosh

In this paper, we present a type D, non-vanishing cosmological constant, vacuum solution of the Einstein's field equations, extension of an axially symmetric, asymptotically flat vacuum metric with a curvature singularity. The space-time…

General Physics · Physics 2020-11-23 Faizuddin Ahmed , Bidyut Bikash Hazarika , Debojit Sarma

It is shown that for a general nonstatic spherically symmetric metric of the Kerr-Schild class several energy-momentum complexes give the same energy distribution as in the Penrose prescription, obtained by Tod. This result is useful for…

General Relativity and Quantum Cosmology · Physics 2009-10-31 K. S. Virbhadra

Symmetries of spacetimes with null dust field as a source compatible with asymptotic flatness are studied by using the Bondi-Sachs-van der Burg formalism. It is shown that in an axially symmetric spacetime with null dust field in which at…

General Relativity and Quantum Cosmology · Physics 2007-05-23 U. von der Goenna , A. Pravdova

Inspired by the Lifshitz gravity as a theory with anisotropic scaling behavior, we suggest a new $(n+1)-$dimensional metric in which the time and spatial coordinates scale anisotropically as $(t,r,\theta_{i})\,\to…

General Relativity and Quantum Cosmology · Physics 2022-12-06 S. Mahmoudi , Kh. Jafarzade , S. H. Hendi

Stationary, axisymmetric and asymptotically flat spacetimes of dust of which trajectories are integral curves of the time translation Killing vector are investigated. The flow has no Newtonian limit. Asymptotic flatness implies the…

Astrophysics · Physics 2008-11-26 Lukasz Bratek , Joanna Jalocha , Marek Kutschera

In the present paper we argue that a special case of the Bach-Weyl metric describing a static configuration of two Schwarzschild black holes gives rise, after extending its parameter space to complex values, to a very simple 2-parameter…

General Relativity and Quantum Cosmology · Physics 2024-07-19 I. M. Mejía , V. S. Manko , E. Ruiz

In this thesis, the symmetry structure of gravitational theories at null infinity is studied further, in the case of pure gravity in four dimensions and also in the case of Einstein-Yang-Mills theory in $d$ dimensions with and without a…

General Relativity and Quantum Cosmology · Physics 2015-08-11 Pierre-Henry Lambert
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