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We present spherically symmetric solutions to Einstein's equations which are equivalent to canonical Schwarzschild and Reissner-Nordstrom black holes on the exterior, but with singular (Planck-density) shells at their respective event and…

High Energy Physics - Theory · Physics 2019-02-27 David E. Kaplan , Surjeet Rajendran

The Kruskal-Szekeres coordinates construction for the Schwarzschild spacetime could be viewed geometrically as a squeezing of the $t$-line associated with the asymptotic observer into a single point, at the event horizon $r=2M$. Starting…

General Relativity and Quantum Cosmology · Physics 2024-01-02 Ali Fawzi , Dejan Stojkovic

Starting from Israel equations for the spherically symmetric thin shells we introduce the effective potential and show how it can be used in constructing, without further thorough investigation, the corresponding Carter-Penrose diagrams…

General Relativity and Quantum Cosmology · Physics 2015-06-12 V. A. Berezin , V. I. Dokuchaev

This is the first part of a series of papers deriving the precise, late-time behaviour and (in)stability properties of charged scalar fields on near-extremal Reissner--Nordstr\"om spacetimes via energy estimates. In this paper, we establish…

General Relativity and Quantum Cosmology · Physics 2026-04-01 Dejan Gajic

Space-Time in general relativity is a dynamical entity because it is subject to the Einstein field equations. The space-time metric provides different geometrical structures: conformal, volume, projective and linear connection. A deep…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ignacio Sanchez-Rodriguez

The p-hierarchy of Schwarzschild type metrics obtained in a preceing paper is generalised here to a corresponding Reissner-Nordstrom (RN) type hierarchy in the presence of a point charge q in d-dimensions. Certain special features arising,…

High Energy Physics - Theory · Physics 2007-05-23 A. Chakrabarti , D. H. Tchrakian

We consider the scattering of high energy and ultra relativistic spherically symmetric shells in asymptotically AdS$_D$ spacetimes. We analyze an exclusive amplitude where a single spherically symmetric shell goes in and a single one comes…

High Energy Physics - Theory · Physics 2023-05-03 Ibrahima Bah , Yiming Chen , Juan Maldacena

We study 4-dimensional non-charged and charged spherically symmetric spacetimes in conformal teleparallel equivalent of general relativity. We apply the gravitational field equations in non-charged and charged spacetimes to the diagonal and…

General Relativity and Quantum Cosmology · Physics 2018-09-17 G. G. L. Nashed , Kazuharu Bamba

This is a consecutive paper on the timelike geodesic structure of static spherically symmetric spacetimes. First we show that for a stable circular orbit (if it exists) in any of these spacetimes all the infinitesimally close to it timelike…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Leszek M. Sokołowski , Zdzisław A. Golda

The Schwarzschild geometry is investigated within the context of effective-field-theory models of gravity. Starting from its harmonic-coordinate expression, we derive the metric in standard coordinates by keeping the leading one-loop…

General Relativity and Quantum Cosmology · Physics 2024-01-08 Emmanuele Battista

We calculate the self-force on an electric charge and electric dipole held at rest in a closed universe that results from joining two copies of Minkowski spacetime at a common boundary. Spacetime is strictly flat on each side of the…

General Relativity and Quantum Cosmology · Physics 2018-06-05 Karl Davidson , Eric Poisson

A new class of electrically charged wormholes is described in which the outer two sphere is not spanned by a compact coorientable hypersurface. These wormholes can therefore display net electric charge from the source free Maxwell's…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Tammo Diemer , Mark J Hadley

The electrostatic self-force on a point charge in cylindrical thin-shell space-times is interpreted as the sum of a $bulk$ field and a $shell$ field. The $bulk$ part corresponds to a field sourced by the test charge placed in a space-time…

General Relativity and Quantum Cosmology · Physics 2016-04-05 Emilio Rubín de Celis

In this paper, we discuss gravitational collapse of spherically symmetric spacetimes. We derive a general formalism by taking two arbitrary spherically symmetric spacetimes with $g_{00}=1$. Israel's junction conditions are used to develop…

General Relativity and Quantum Cosmology · Physics 2009-07-22 M. Sharif , Khadija Iqbal

We show that Guilfoyle's exact solutions of the Einstein-Maxwell equations for spherical symmetric static electrically charged matter with a Reissner-Nordstr\"om exterior possess a bewildering plethora of different types of solutions. For…

General Relativity and Quantum Cosmology · Physics 2020-09-18 José P. S. Lemos , Vilson T. Zanchin

In order to study the gravitational collapse of charged matter we analyze the simple model of an self-gravitating massless scalar field coupled to the electromagnetic field in spherical symmetry. The evolution equations for the…

General Relativity and Quantum Cosmology · Physics 2014-11-07 Jose M. Torres , Miguel Alcubierre

Global topological defects described by real scalar field in (3,1) dimensions coupled to gravity are analyzed. We consider a class of scalar potentials with explicit dependence with distance, evading Derrick's theorem and leading to defects…

General Relativity and Quantum Cosmology · Physics 2007-05-23 D. Bazeia , C. Furtado , A. R. Gomes

In the present work, we have discussed the four dimensional spherically symmetric steller system in the framework of modified $f(T)$ gravity theory with electro-magnetic field. The field equations have been written for two cases, either…

General Relativity and Quantum Cosmology · Physics 2019-07-24 Ujjal Debnath

We calculate the metric for a self-gravitating and collapsing infinitely-thin spherical shell under the theory of post-Newtonian approximation, and successfully recover the shell's energy-momentum tensor from the achieved metric. The…

General Physics · Physics 2024-10-08 Wenbin Lin

We explore numerically the evolution of a collapsing spherical shell of charged, massless scalar field. We obtain an external \RN space-time, and an inner space-time that is bounded by a singularity on the Cauchy Horizon. We compare these…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yonatan Oren , Tsvi Piran