Critical Phenomena in Gravitational Collapse: The Studies So Far

Wang, Anzhong

doi:10.1590/s0103-97332001000200009

Cited by 31 publications

(37 citation statements)

References 64 publications

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“…In this paper we derive analytic solutions for the collapse of a massless scalar field in AdS 3 starting from a scaling ansatz for the dynamical variables [23]. The paper is organized as follows.…”

Section: Introductionmentioning

confidence: 99%

Critical scalar field collapse in AdS ₃ : an analytical approach

Baier¹,

Stricker²,

Taanila³

2013

Class. Quantum Grav.

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Abstract. We present an analytical solution of a massless scalar field collapsing in a three dimensional space-time with a negative cosmological constant, i.e. asymptotically AdS 3 . The Einstein and scalar field equations are formulated using double null Poincaré coordinates. Trapping horizons form when a critical parameter is p > 1. There are indications that the horizon radius r AH scales like r AH ∼ (p − 1)

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Section: Introductionmentioning

confidence: 99%

Critical scalar field collapse in AdS ₃ : an analytical approach

Baier¹,

Stricker²,

Taanila³

2013

Class. Quantum Grav.

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“…The solution with p = p * , usually called the critical solution, is found also universal. Choptuik's studies were soon generalized to other matter fields [6,7]. From all the work done so far, the collapse in general falls into two different types, depending on whether the black hole mass takes the scaling form (1.1) or not.…”

Section: Introductionmentioning

confidence: 99%

Kink stability of self-similar solutions of scalar field in 2 + 1 gravity

Wang

2007

Gen Relativ Gravit

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The kink stability of self-similar solutions of a massless scalar field with circular symmetry in 2 + 1 gravity is studied, and found that such solutions are unstable against the kink perturbations along the sonic line (self-similar horizon). However, when perturbations outside the sonic line are considered, and taking the ones along the sonic line as their boundary conditions, we find that non-trivial perturbations do not exist. In other words, the consideration of perturbations in the whole spacetime limits the unstable mode of the perturbations found along the sonic line, and the kink instability rises because of the incomplete treatment of the problem. As a result, the critical solution for the scalar collapse remains critical even after the kink perturbations are taken into account.

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“…Recently, self-similar solutions of the Einstein field equations have attracted much attention, not only because they can be studied analytically through simplification of the problem, but also because of their relevance in astrophysics [1] and critical phenomena in gravitational collapse [2][3][4]. In the latter case, as in statistical mechanics [5,6], the self-similar solutions represent the asymptotics of critical collapse in the intermediate regions.…”

Section: Introductionmentioning

confidence: 99%

Asymptotes of solutions of a perfect fluid coupled with a cosmological constant in four-dimensional spacetime with toroidal symmetry

Benesh

Wang

2006

Gen Relativ Gravit

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Asymptotics of solutions of a perfect fluid when coupled with a cosmological constant in four-dimensional spacetime with toroidal symmetry are studied.In particular, it is found that the problem of self-similar solutions of the first kind for a fluid with the equation of state, p = kρ, can be reduced to solving a master equation of the form,For k = 0 and k = −1/3 the general solutions are obtained and their main local and global properties are studied in detail.

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Critical Phenomena in Gravitational Collapse: The Studies So Far

Cited by 31 publications

References 64 publications

Critical scalar field collapse in AdS ₃ : an analytical approach

Critical scalar field collapse in AdS ₃ : an analytical approach

Kink stability of self-similar solutions of scalar field in 2 + 1 gravity

Asymptotes of solutions of a perfect fluid coupled with a cosmological constant in four-dimensional spacetime with toroidal symmetry

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Critical Phenomena in Gravitational Collapse: The Studies So Far

Cited by 31 publications

References 64 publications

Critical scalar field collapse in AdS 3 : an analytical approach

Critical scalar field collapse in AdS 3 : an analytical approach

Kink stability of self-similar solutions of scalar field in 2 + 1 gravity

Asymptotes of solutions of a perfect fluid coupled with a cosmological constant in four-dimensional spacetime with toroidal symmetry

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Critical scalar field collapse in AdS ₃ : an analytical approach

Critical scalar field collapse in AdS ₃ : an analytical approach