scholarly journals Asymptotic behavior of dynamical variables and naked singularity formation in spherically symmetric gravitational collapse

2009 ◽  
Vol 80 (2) ◽  
Author(s):  
Hayato Kawakami ◽  
Eiji Mitsuda ◽  
Yasusada Nambu ◽  
Akira Tomimatsu
Keyword(s):  
Asymptotic Behavior ◽  
Gravitational Collapse ◽  
Naked Singularity ◽  
Spherically Symmetric ◽  
Singularity Formation

NAKED SINGULARITY IN HIGHER-DIMENSIONAL CHARGED-VAIDYA SPACETIME

2012 ◽  
Vol 27 (26) ◽  
pp. 1250148 ◽  
Author(s):  
ZAHID AHMAD
Keyword(s):  
Gravitational Collapse ◽  
Naked Singularity ◽  
Higher Dimensions ◽  
Cosmic Censorship ◽  
Strong Form ◽  
Singularity Formation ◽  
Higher Dimensional

In this paper, the gravitational collapse has been studied in the context of higher-dimensional charged-Vaidya spacetime. It is shown that naked singularity always exists in this case and strong form of cosmic censorship is violated. This work extends the earlier studies on naked singularity formation in higher dimensions.

Black hole formation due to collapsing dark matter in a presence of dark energy in the brane-world scenario

2018 ◽  
Vol 27 (03) ◽  
pp. 1850020 ◽  
Author(s):  
Hasrat Hussain Shah
Keyword(s):  
Dark Matter ◽  
Dark Energy ◽  
Gravitational Collapse ◽  
Naked Singularity ◽  
Brane World ◽  
Spherically Symmetric ◽  
Hole Formation ◽  
De Formula ◽  
Symmetric Star ◽  
Collapse Process

In the last three to four decades, various programs have been studied in order to investigate the final fate of gravitational collapse of massive astronomical objects. In the theoretical context, Black Holes (BHs) are the consequence of final stage of the gravitational collapse. In this work, we investigated the gravitational collapse process of a spherically symmetric star constituted of dark matter (DM), [Formula: see text], and Dark Energy (DE), [Formula: see text] in the context of the brane-world scenario. In our model, we discussed the anisotropy of the pressure in a fluid with Equation of State (EoS) [Formula: see text] and [Formula: see text], [Formula: see text]. We briefly discussed various cases of gravitational collapse and it is found that BH can be formed by the gravitational collapse in brane-world regime while in some cases there is only a naked singularity at their end state.

scholarly journals The dimensional dependence of naked singularity formation in spherical gravitational collapse

2008 ◽  
Vol 25 (14) ◽  
pp. 145003 ◽  
Author(s):  
Roberto Giambò ◽  
Sara Quintavalle
Keyword(s):  
Gravitational Collapse ◽  
Naked Singularity ◽  
Singularity Formation ◽  
Dimensional Dependence

scholarly journals GRAVITATIONAL COLLAPSE WITH TANGENTIAL PRESSURE

2011 ◽  
Vol 20 (04) ◽  
pp. 463-495 ◽  
Author(s):  
DANIELE MALAFARINA ◽  
PANKAJ S. JOSHI
Keyword(s):  
Black Hole ◽  
Gravitational Collapse ◽  
Dust Cloud ◽  
Naked Singularity ◽  
Final States ◽  
Singularity Formation ◽  
Tangential Pressure ◽  
Final State ◽  
Collapse Models

Using the general formalism for spherical gravitational collapse developed in [P. S. Joshi and I. H. Dwivedi, Class. Quant. Grav.16 (1999) 41; P. S. Joshi and R. Goswami, Phys. Rev. D76 (2007) 084026], we investigate here the final fate of a spherical distribution of a matter cloud, where radial pressures vanish but tangential pressures are nonzero. Within this framework, firstly we examine the effect of introducing a generic small pressure in a well-known black hole formation process, which is that of an otherwise pressure-free dust cloud. The intriguing result we find is that a dust collapse that was going to a black hole final state could now go to a naked singularity final configuration, when arbitrarily small tangential pressures are introduced. The implications of such a scenario are discussed in some detail. Secondly, the approach here allows us to generalize the earlier results obtained on gravitational collapse with nonzero tangential pressure, in the presence of a nonzero cosmological constant. Finally, we discuss the genericity of black hole and naked singularity formation in collapse with nonzero tangential pressure. The treatment here gives a unified and complete picture on collapse final states, in terms of black hole and naked singularity formation, generalizing the earlier results obtained for this class of collapse models. Thus the role of tangential stresses towards determining collapse end-states emerges in a straightforward and transparent manner in our treatment.

scholarly journals On the occurrence of naked singularity in spherically symmetric gravitational collapse

1994 ◽  
Vol 166 (1) ◽  
pp. 117-128 ◽  
Author(s):  
I. H. Dwivedi ◽  
P. S. Joshi
Keyword(s):  
Gravitational Collapse ◽  
Naked Singularity ◽  
Spherically Symmetric

Examples of Naked Singularity Formation in the Gravitational Collapse of a Scalar Field

1994 ◽  
Vol 140 (3) ◽  
pp. 607 ◽  
Author(s):  
Demetrios Christodoulou
Keyword(s):  
Scalar Field ◽  
Gravitational Collapse ◽  
Naked Singularity ◽  
Singularity Formation

scholarly journals Electromagnetic radiation due to naked singularity formation in self-similar gravitational collapse

2005 ◽  
Vol 71 (8) ◽  
Author(s):  
Eiji Mitsuda ◽  
Hirotaka Yoshino ◽  
Akira Tomimatsu
Keyword(s):  
Electromagnetic Radiation ◽  
Gravitational Collapse ◽  
Naked Singularity ◽  
Singularity Formation ◽  
Self Similar

scholarly journals Naked singularity formation in $${f({\mathcal R})}$$ gravity

2011 ◽  
Vol 43 (11) ◽  
pp. 2943-2963 ◽  
Author(s):  
A. H. Ziaie ◽  
K. Atazadeh ◽  
S. M. M. Rasouli
Keyword(s):  
Naked Singularity ◽  
Singularity Formation

The convex hull of a spherically symmetric sample

1981 ◽  
Vol 13 (4) ◽  
pp. 751-763 ◽  
Author(s):  
William F. Eddy ◽  
James D. Gale
Keyword(s):  
Asymptotic Behavior ◽  
Euclidean Space ◽  
Probability Measure ◽  
Convex Hull ◽  
Random Sample ◽  
Unit Sphere ◽  
Continuous Functions ◽  
Extreme Value ◽  
Spherically Symmetric ◽  
Extreme Value Distributions

Using the isomorphism between convex subsets of Euclidean space and continuous functions on the unit sphere we describe the probability measure of the convex hull of a random sample. When the sample is spherically symmetric the asymptotic behavior of this measure is determined. There are three distinct limit measures, each corresponding to one of the classical extreme-value distributions. Several properties of each limit are determined.

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