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 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

GRAVITATIONAL COLLAPSE OF A SELF-INTERACTING SCALAR FIELD

2007 ◽  
Vol 22 (01) ◽  
pp. 65-74 ◽  
Author(s):  
RITUPARNO GOSWAMI ◽  
PANKAJ S. JOSHI
Keyword(s):  
Black Hole ◽  
Scalar Field ◽  
Gravitational Collapse ◽  
Energy Condition ◽  
Dynamical Evolution ◽  
Naked Singularity ◽  
Cosmic Censorship ◽  
Weak Energy Condition ◽  
Scalar Field Models ◽  
Cosmic Censorship Conjecture

We construct and study here a class of collapsing scalar field models with a nonzero potential. The weak energy condition is satisfied by the collapsing configuration and it is shown that the end state of collapse could be either a black hole or a naked singularity. It is seen that physically it is the rate of collapse that governs these outcomes of the dynamical evolution. The implications for the cosmic censorship conjecture are discussed.

scholarly journals Critical phenomena in gravitational collapse of Husain–Martinez–Nunez scalar field

2019 ◽  
Vol 79 (10) ◽  
Author(s):  
Xiaobao Wang ◽  
Xiaoning Wu ◽  
Sijie Gao
Keyword(s):  
Scalar Field ◽  
Critical Phenomena ◽  
Gravitational Collapse ◽  
Naked Singularity ◽  
Extrinsic Curvature ◽  
Analytical Models ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Self Similarity ◽  
Metric Function

Abstract We construct analytical models to study the critical phenomena in gravitational collapse of the Husain-Martinez-Nunez massless scalar field. We first use the cut-and-paste technique to match the conformally flat solution ($$c=0$$c=0 ) onto an outgoing Vaidya solution. To guarantee the continuity of the metric and the extrinsic curvature, we prove that the two solutions must be joined at a null hypersurface and the metric function in Vaidya spacetime must satisfy certain constraints. We find that the mass of the black hole in the resulting spacetime takes the form $$M\propto (p-p^*)^\gamma $$M∝(p-p∗)γ, where the critical exponent $$\gamma $$γ is equal to 0.5. For the case $$c\ne 0$$c≠0, we show that the scalar field must be joined onto two pieces of Vaidya spacetimes to avoid a naked singularity. We also derive the power-law mass formula with $$\gamma =0.5$$γ=0.5. Compared with previous analytical models which were constructed from a different scalar field with continuous self-similarity, we obtain the same value of $$\gamma $$γ. However, we show that the solution with $$c\ne 0$$c≠0 is not self-similar. Therefore, we provide a rare example that a scalar field without self-similarity also possesses the features of critical collapse.

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.

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 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

scholarly journals COLLAPSING SCALAR FIELD WITH KINEMATIC SELF-SIMILARITY OF THE SECOND KIND IN (2+1) GRAVITY

2005 ◽  
Vol 14 (06) ◽  
pp. 1049-1061 ◽  
Author(s):  
R. CHAN ◽  
M. F. A. DA SILVA ◽  
J. F. VILLAS DA ROCHA ◽  
ANZHONG WANG
Keyword(s):  
Black Holes ◽  
Scalar Field ◽  
Gravitational Collapse ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Field Equations ◽  
Self Similarity ◽  
Global Properties ◽  
Scalar Field Equations

All the (2+1)-dimensional circularly symmetric solutions with kinematic self-similarity of the second kind to the Einstein-massless-scalar field equations are found and their local and global properties are studied. It is found that some of them represent gravitational collapse of a massless scalar field, in which black holes are always formed.

scholarly journals Universal scaling and echoing in the gravitational collapse of a complex scalar field

1995 ◽  
Vol 51 (8) ◽  
pp. 4198-4207 ◽  
Author(s):  
Eric W. Hirschmann ◽  
Douglas M. Eardley
Keyword(s):  
Scalar Field ◽  
Gravitational Collapse ◽  
Complex Scalar ◽  
Universal Scaling ◽  
Complex Scalar Field
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