Scalar field collapse in three-dimensional AdS space-time

Husain, Viqar; Olivier, Michel

doi:10.1088/0264-9381/18/2/101

Scalar field collapse in three-dimensional AdS space-time

Viqar Husain
(
- New Brunswick U.
)
,
Michel Olivier
(
- Laval U.
)

Aug, 2000

10 pages

Published in:

Class.Quant.Grav. 18 (2001) L1-L10

e-Print:

gr-qc/0008060 [gr-qc]

DOI:

10.1088/0264-9381/18/2/101

Report number:

UNB-00-02

View in:

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Abstract: (arXiv)

We describe results of a numerical calculation of circularly symmetric scalar field collapse in three spacetime dimensions with negative cosmological constant. The procedure uses a double null formulation of the Einstein-scalar equations. We see evidence of black hole formation on first implosion of a scalar pulse if the initial pulse amplitude

A

is greater than a critical value

A_*

. Sufficiently near criticality the apparent horizon radius

r_{AH}

grows with pulse amplitude according to the formula

r_{AH} \sim (A-A_*)^{0.81}

.

space-time: anti-de Sitter
dimension: 3
field theory: scalar
black hole: production
cosmological constant
Einstein equation
boundary condition
field equations: solution
numerical calculations

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Figures(0)

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