Collapse of Self-Interacting Scalar Field in Anti-de Sitter Space

The gravitational collapse of a massless scalar field with a self-interaction term λφ~4 in anti-de Sitter space is investigated.We numerically investigate the effect of the self-interaction term on the critical amplitudes,forming time of apparent horizon,stable island,and energy transformation.The r...

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Published inCommunications in theoretical physics Vol. 65; no. 3; pp. 329 - 334
Main Author 蔡荣根 季力伟 杨润秋
Format Journal Article
LanguageEnglish
Published 01.03.2016
Subjects
Amplitudes
Energy transformations
Formations
Forming
Gravitational collapse
Islands
Mathematical models
Scalars
Sitter时空
临界振幅
引力坍缩
标量场
空间
能量转化
自相互作用
西特
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ISSN0253-6102
1572-9494
DOI10.1088/0253-6102/65/3/329

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Summary:The gravitational collapse of a massless scalar field with a self-interaction term λφ~4 in anti-de Sitter space is investigated.We numerically investigate the effect of the self-interaction term on the critical amplitudes,forming time of apparent horizon,stable island,and energy transformation.The results show that a positive λ suppresses the formation of black hole,while a negative λ enhances the process.We define two susceptibilities to characterize the effect of the self-interaction on the black hole formation,and find that near the critical amplitude,there exists a universal scaling relation with the critical exponent α ≈ 0.74 for the time of black hole formation.
Bibliography:AdS instability; weakly turbulence; self-interaction potential
11-2592/O3
Rong-Gen Cai,Li-Wei Ji,Run-Qiu Yang（State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing100190, China）
The gravitational collapse of a massless scalar field with a self-interaction term λφ~4 in anti-de Sitter space is investigated.We numerically investigate the effect of the self-interaction term on the critical amplitudes,forming time of apparent horizon,stable island,and energy transformation.The results show that a positive λ suppresses the formation of black hole,while a negative λ enhances the process.We define two susceptibilities to characterize the effect of the self-interaction on the black hole formation,and find that near the critical amplitude,there exists a universal scaling relation with the critical exponent α ≈ 0.74 for the time of black hole formation.
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ISSN:0253-6102
1572-9494
DOI:10.1088/0253-6102/65/3/329