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We review results about the development and asymptotic nature of singularities in `brane-bulk' systems. These arise for warped metrics obeying the 5-dimensional Einstein equations with fluid-like sources, and including a brane 4-metric that…

High Energy Physics - Theory · Physics 2017-02-17 Ignatios Antoniadis , Spiros Cotsakis

In canonical quantum gravity, the wave function for a hypersurface inside a Schwarzschild black hole can be obtained by solving the Wheeler-DeWitt equation. What is of prime importance is the behavior of the wave function for the future…

General Relativity and Quantum Cosmology · Physics 2022-09-05 Suddhasattwa Brahma , Che-Yu Chen , Dong-han Yeom

The structure of the Cauchy Horizon singularity of a black hole formed in a generic collapse is studied by means of a renormalization group equation for quantum gravity. It is shown that during the early evolution of the Cauchy Horizon the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Alfio Bonanno , Martin Reuter

Quantum singularities considered in the 3D BTZ spacetime by Pitelli and Letelier (Phys. Rev. D77: 124030, 2008) is extended to charged BTZ and 3D Einstein-Maxwell-dilaton gravity spacetimes. The occurence of naked singularities in the…

General Relativity and Quantum Cosmology · Physics 2014-11-20 O. Unver , O. Gurtug

By performing a Taylor expansion along the extra dimension of a metric describing a black hole on a brane, we explore the influence of the embedding space on the black hole horizon. In particular, it is shown that the existence of a Kottler…

General Relativity and Quantum Cosmology · Physics 2012-12-19 J. M. Hoff da Silva , Roldao da Rocha

The motion of a spherical dust cloud is described by the Lemaitre-Tolman-Bondi solution and is completely specified by initial values of distributions of the rest mass density and specific energy of the dust fluid. From generic initial…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Hideo Iguchi , Ken-ichi Nakao , Tomohiro Harada

Motivated by cosmic censorship in general relativity and string theory, we extend Christodoulou's celebrated examples of naked singularity formation in the Einstein-massless scalar field system to include a positive or negative scalar…

General Relativity and Quantum Cosmology · Physics 2018-02-06 Xuefeng Zhang , Xinliang An

Rotating or charged classical black holes in isolation possess a special surface in their interior, the Cauchy horizon, beyond which the evolution of spacetime (based on the equations of General Relativity) ceases to be deterministic. In…

General Relativity and Quantum Cosmology · Physics 2023-01-04 Noa Zilberman , Marc Casals , Amos Ori , Adrian C. Ottewill

In a previous paper (hep-th/0509067) using matrix model, we showed that closed string tachyons can resolve spacelike singularity in one particular class of Misner space (with anti-periodic boundary conditions for fermions around the spatial…

High Energy Physics - Theory · Physics 2008-11-26 Jian-Huang She

We investigate possible geometries allowing transitions from a black hole to a white hole spacetime, by placing a space-like thin shell between them. Such proposals have been advanced recently to account for singularity-resolution in…

General Relativity and Quantum Cosmology · Physics 2018-10-18 Suddhasattwa Brahma , Dong-han Yeom

In this paper, we derive the solutions of orbit equations for a class of naked singularity spacetimes, and compare these with timelike orbits, that is, particle trajectories in the Schwarzschild black hole spacetime. The Schwarzschild and…

General Relativity and Quantum Cosmology · Physics 2019-12-11 Parth Bambhaniya , Ashok B. Joshi , Dipanjan Dey , Pankaj S. Joshi

We consider the restoration of a spontaneously broken symmetry of an interacting quantum scalar field around neutral, i.e., Schwarzschild, and electrically charged, i.e., Reissner-Nordstr\"om, black holes in four dimensions. This is done…

General Relativity and Quantum Cosmology · Physics 2019-09-25 Gonçalo M. Quinta , Antonino Flachi , José P. S. Lemos

A spherical dust cloud which is initially at rest and which has a monotonously decaying density profile collapses and forms a shell-focussing singularity. Provided the density profile is not too flat, meaning that its second radial…

General Relativity and Quantum Cosmology · Physics 2014-06-17 Néstor Ortiz , Olivier Sarbach

We conjecture that space-like singularities are simply regions in which all available degrees of freedom are excited, and the system cycles randomly through generic quantum states in its Hilbert space. There is no simple geometric…

High Energy Physics - Theory · Physics 2007-05-23 T. Banks , W. Fischler

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

We study the causal structure of dynamical charged black holes, with a sufficient number of massless fields, using numerical simulations. Neglecting Hawking radiation, the inner horizon is a null Cauchy horizon and a curvature singularity…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Sungwook E. Hong , Dong-il Hwang , Ewan D. Stewart , Dong-han Yeom

We present a novel example of a 2-dimensional space-time naked singularity. The solution has a gravity singularity and no-horizon. This example is only a toy model and as such its motivation is mathematical. In the physical sense it is very…

General Relativity and Quantum Cosmology · Physics 2015-11-19 J. Manuel Garcia-Islas

We consider the Cauchy problem for the equations of pressureless gases in two space dimensions. For a generic set of smooth initial data (density and velocity), it is known that the solution loses regularity at a finite time $t_0$, where…

Analysis of PDEs · Mathematics 2024-08-14 Alberto Bressan , Geng Chen , Shoujun Huang

We study spontaneous symmetry breaking in one dimensional quantum mechanical problems in terms of two-point boundary problems which lead to singular potentials containing Dirac delta functions and its derivatives. We search for…

Mathematical Physics · Physics 2019-02-18 A. Restuccia , A. Sotomayor , V. Strauss

To probe naked spacetime singularities with waves rather than with particles we study the well-posedness of initial value problems for test scalar fields with finite energy so that the natural function space of initial data is the Sobolev…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Akihiro Ishibashi , Akio Hosoya
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