Critical phenomena and relativistic gravitational collapse

1994 ◽  
Vol 26 (4) ◽  
pp. 379-384 ◽  
Author(s):  
Andrew M. Abrahams ◽  
Charles R. Evans
Keyword(s):  
Critical Phenomena ◽  
Gravitational Collapse

scholarly journals Critical phenomena in gravitational collapse with two competing massless matter fields

2019 ◽  
Vol 100 (10) ◽  
Author(s):  
Carsten Gundlach ◽  
Thomas W. Baumgarte ◽  
David Hilditch
Keyword(s):  
Critical Phenomena ◽  
Gravitational Collapse ◽  
Matter Fields

scholarly journals Critical phenomena in gravitational collapse

1997 ◽  
Vol 41 (1) ◽  
pp. 143-152 ◽  
Author(s):  
Carsten Gundlach
Keyword(s):  
Critical Phenomena ◽  
Gravitational Collapse

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.

scholarly journals Critical phenomena in gravitational collapse

2003 ◽  
Vol 376 (6) ◽  
pp. 339-405 ◽  
Author(s):  
Carsten Gundlach
Keyword(s):  
Critical Phenomena ◽  
Gravitational Collapse
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