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We investigate the accumulation of null matter at the stable photon sphere in the Mannheim-Kazanas metric, the analogue to the Schwarzschild solution in Weyl's conformal theory of gravity. In our toy problem in which we consider an…

General Relativity and Quantum Cosmology · Physics 2026-03-06 Reinosuke Kusano , Keith Horne , Friedrich Koenig , Miguel Yulo Asuncion

To understand the nature of a black hole shadow in dynamical spacetimes, we construct an analytical model of a dynamical photon sphere in the context of the Bonnor-Vaidya spacetime. Comparing the resulting photon sphere radius with the one…

General Relativity and Quantum Cosmology · Physics 2024-09-11 Yaghoub Heydarzade , Vitalii Vertogradov

In general relativity, the endpoint of spherically symmetric gravitational collapse is a Schwarzschild--[(A)dS] black hole. In bimetric gravity, it has been speculated that a static end state must also be Schwarzschild--[(A)dS]. To this…

General Relativity and Quantum Cosmology · Physics 2020-06-09 Marcus Högås , Mikica Kocic , Francesco Torsello , Edvard Mörtsell

The non-linear behaviour of Randall-Sundrum gravity with one brane is examined. Due to the non-compact extra dimension, the perturbation spectrum has no mass gap, and the long wavelength effective theory is only understood perturbatively.…

High Energy Physics - Theory · Physics 2011-08-12 T. Wiseman

We consider a class of static and spherically symmetric black hole geometries endowed with a photon sphere. On the one hand, we show that close to the photon sphere, a massless scalar field theory exhibits a simple dynamical…

General Relativity and Quantum Cosmology · Physics 2022-03-24 Bernard Raffaelli

Based on the Mathisson-Papapetrou-Dixon (MPD) equations and the Vaidya metric, the motion of a spinning point particle orbiting a non-rotating star while undergoing radiation-induced gravitational collapse is studied in detail. A…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Dinesh Singh

We present a class of exact solutions of Einstein field equations for a shear-free spherically symmetric anisotropic fluid undergoing radial heat flow. The interior metric fulfilled all the relevant physical and thermodynamic conditions and…

General Relativity and Quantum Cosmology · Physics 2016-01-21 B. C. Tewari , Kali Charan

We study black hole radiation of a Reissner-Nordstrom black hole with an electric charge in the framework of quantum gravity. Based on a canonical quantization for a spherically symmetric geometry, under physically plausible assumptions, we…

High Energy Physics - Theory · Physics 2015-03-19 Ichiro Oda

Some dynamical aspects of gravitational collapse are explored in this paper. A time-dependent spherically symmetric metric is proposed and the corresponding Einstein field equations are derived. An ultrarelativistic dust-like…

General Relativity and Quantum Cosmology · Physics 2014-07-08 Miquel Pinol

We study collapse of evaporating spherically-symmetric thin dust shells and dust balls assuming that quantum effects are encapsulated in a spherically-symmetric metric that satisfied mild regularity conditions. The evaporation may…

General Relativity and Quantum Cosmology · Physics 2017-03-29 Valentina Baccetti , Robert B. Mann , Daniel R. Terno

The ingoing Vaidya metric is introduced as a model for a non-rotating uncharged black hole emitting Hawking radiation. This metric is expected to capture the physics of the spacetime for radial coordinates up to a small multiple $(>1)$ of…

General Relativity and Quantum Cosmology · Physics 2022-01-12 Julius Piesnack , Klaus Kassner

We study brane-world black holes from Randall-Sundrum(RS) models in ($D+1$)-dimensional anti-de Sitter spacetimes. The solutions are directly obtained by using a slightly modified RS metric ansatz in $D+1$ dimensions. The metric of the…

High Energy Physics - Theory · Physics 2009-10-31 Won Tae Kim , John J. Oh , Marie K. Oh , Myung Seok Yoon

We investigate the possibility of having the electrically charged Reissner-Nordstrom black hole in the gravity localized models in a brane world. It is shown that the Reissner-Nordstrom black hole exists as a solution in the 5D…

High Energy Physics - Theory · Physics 2007-05-23 Ichiro Oda

The dynamics of the gravitational collapse is examined in the realm of string based formalism of D-branes that encompass General Relativity as a low energy limit. A complete analytical solution is given to the spherically symmetric collapse…

General Relativity and Quantum Cosmology · Physics 2009-08-04 R. Maier , I. Damião Soares

With the back-reaction of Hawking radiation taken into consideration, the work of Kawai, Matsuo and Yokokura has shown that, under a few assumptions, the collapse of matter does not lead to event horizon nor apparent horizon. In this paper,…

High Energy Physics - Theory · Physics 2016-06-22 Pei-Ming Ho

Within the spirit of five-dimensional gravity in the Randall-Sundrum scenario, in this paper we consider cosmological and gravitational implications induced by forcing the spacetime metric to satisfy a Misner-like symmetry. We first show…

High Energy Physics - Theory · Physics 2009-10-31 Pedro F. Gonzalez-Diaz

We use static solutions of 5-dimensional Kaluza-Klein gravity to generate several classes of static, spherically symmetric spacetimes which are analytic solutions to the equation $^{(4)}R = 0$, where $^{(4)}R$ is the four-dimensional Ricci…

General Relativity and Quantum Cosmology · Physics 2010-02-18 J. Ponce de Leon

A plethora of models of the universe have been proposed in recent years claiming that the present universe is accelerating, being driven by some hypothetical source with negative pressure collectively known as {\it dark energy} which though…

Astrophysics · Physics 2009-11-07 R. G. Vishwakarma , Parampreet Singh

It has recently been suggested that our universe is a three-brane embedded in a higher dimensional spacetime. In this paper I examine static, spherically symmetric solutions that satisfy the effective Einstein field equations on a brane…

High Energy Physics - Theory · Physics 2010-11-19 Dan N. Vollick

A simple model of extra-dimensional radius stabilization in a supersymmetric Randall-Sundrum model is presented. In our model, we introduce only a bulk hypermultiplet and source terms on each boundary branes. With an appropriate choice of…

High Energy Physics - Theory · Physics 2007-05-23 Nobuhito Maru , Nobuchika Okada