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We analyze the redshift suffered by photons originating from an external source, traversing a collapsing dust cloud and finally being received by an asymptotic observer. In addition, we study the shadow that the collapsing cloud casts on…

General Relativity and Quantum Cosmology · Physics 2015-09-10 Néstor Ortiz , Olivier Sarbach , Thomas Zannias

We study the formation of central naked singularities in spherical dust collapse with a cosmological constant. We find that the central curvature singularity is locally naked, Tipler strong, and generic, in the sense that it forms from a…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Sergio M. C. V. Goncalves

An outstanding problem in gravitation theory and relativistic astrophysics today is to understand the final outcome of an endless gravitational collapse. Such a continual collapse would take place when stars more massive than few times the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Pankaj S. Joshi

We examine the growth of the Weyl curvature in two examples of naked singularity formation in spherical gravitational collapse - dust and the Vaidya spacetime. We find that the Weyl scalar diverges along outgoing radial null geodesics as…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sukratu Barve , T. P. Singh

Generalizing the results of Joshi and Dwivedi in Commun.Math.Phys. 146, p.333 (1992), it is pointed out that strong curvature naked singularities could occur in the self-similar gravitational collapse of any form of matter satisfying the…

General Relativity and Quantum Cosmology · Physics 2009-10-22 P. S. Joshi , I. H. Dwivedi

The complete spectrum of the endstates - naked singularities, or blackholes - of gravitational collapse is analyzed for a wide class of $N$-dimensional spacetimes in spherical symmetry, which includes and generalizes the dust solutions and…

General Relativity and Quantum Cosmology · Physics 2010-03-24 Roberto Giambó , Sara Quintavalle

In this work, we have investigated the outcome of gravitational collapse in Husain space-time in the presence of electro-magnetic and a scalar field with potential. In order to study the nature of the singularity, global behavior of radial…

General Relativity and Quantum Cosmology · Physics 2012-03-12 Ujjal Debnath , Prabir Rudra , Ritabrata Biswas

One of the fundamental unanswered questions in the general theory of relativity is whether ``naked'' singularities, that is singular events which are visible from infinity, may form with positive probability in the process of gravitational…

Analysis of PDEs · Mathematics 2016-09-07 Demetrios Christodoulou

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

We study the complete gravitational collapse of a class of spherically symmetric inhomogeneous perfect fluid models obtained by introducing small radial perturbations in an otherwise homogeneous matter cloud. Our aim here is to study the…

General Relativity and Quantum Cosmology · Physics 2016-03-10 Seema Satin , Daniele Malafarina , Pankaj S. Joshi

Conditions under which gravity coupled to self interacting scalar field determines singularity formation are found and discussed. It is shown that, under a suitable matching with an external space, the boundary, if collapses completely, may…

General Relativity and Quantum Cosmology · Physics 2010-11-05 Roberto Giambó

Spacetime singularity has always been of interest since the proof of the Penrose-Hawking singularity theorem. Naked singularity naturally emerges from reasonable initial conditions in the collapsing process. A recent interesting approach in…

General Relativity and Quantum Cosmology · Physics 2017-06-28 Hongsheng Zhang

By imposing suitable junction conditions on a space-like hyper-surface, we obtain a two-parameter family of possible static configurations from gravitational collapse. These exemplify a new class of naked singularities. We show that these…

General Relativity and Quantum Cosmology · Physics 2020-02-11 Kaushik Bhattacharya , Dipanjan Dey , Arindam Mazumdar , Tapobrata Sarkar

We consider a gravastar model made of anisotropic dark energy with an infinitely thin spherical shell of a perfect fluid with the equation of state $p = (1-\gamma)\sigma$ with an external de Sitter-Schwarzschild region. It is found that in…

General Relativity and Quantum Cosmology · Physics 2015-03-19 R. Chan , M. F. A. da Silva , P. Senna , J. F. Villas da Rocha

We study here the behaviour of non-spacelike geodesics in dust collapse models in order to understand the casual structure of the spacetime. The geodesic families coming out, when the singularity is naked, corresponding to different initial…

General Relativity and Quantum Cosmology · Physics 2009-10-31 S. S. Deshingkar , P. S. Joshi

Dynamical evolution of test fields in background geometry with a naked singularity is an important problem relevant to the Cauchy horizon instability and the observational signatures different from black hole formation. In this paper we…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Eiji Mitsuda , Hirotaka Yoshino , Akira Tomimatsu

By considering families of radial null geodesics, we study the subsets of initial data that lead to naked singularities and black holes in inhomogeneous spherical dust collapse. We introduce the notion of central homogeneity for spherical…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Filipe C. Mena , Reza Tavakol , Pankaj S. Joshi

This article gives an elementary review of gravitational collapse and the cosmic censorship hypothesis. Known models of collapse resulting in the formation of black holes and naked singularities are summarized. These models, when taken…

General Relativity and Quantum Cosmology · Physics 2009-10-31 T. P. Singh

There are many solutions to the Einstein field equations that demonstrate naked singularity (NS) formation after regular evolution. It is possible, however, that such a quantum effect as particle creation prevents NSs from forming. We…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Umpei Miyamoto , Hideki Maeda , Tomohiro Harada

We consider the question here whether the proposed electromagnetic counterpart of the gravitational wave signals in binary black hole coalescence may be due to the appearance of a `short lived' naked singularity during the merger. We point…

General Relativity and Quantum Cosmology · Physics 2016-03-10 Daniele Malafarina , Pankaj S. Joshi
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