Stealth Scalar Field Overflying a 2+1 Black Hole

Details Stealth Scalar Field Overflying a 2+1 Black Hole Stealth Scalar Field Overflying a 2+1 Black Hole

2004-03-23

arxiv.org/abs/hep-th/0403228v2

Gen.Rel.Grav. 38 (2006) 145-152

Physics

High Energy Physics

High Energy Physics - Theory

RevTeX, 7 pages, 10 figures; small changes to match published version

Scientific paper

10.1007/s10714-005-0213-x

A nontrivial scalar field configuration of vanishing energy-momentum is reported. These matter configurations have no influence on the metric and therefore they are not be "detected" gravitationally. This phenomenon occurs for a time-dependent nonminimally coupled and self-interacting scalar field on the 2+1 (BTZ) black hole geometry. We conclude that such stealth configurations exist for the static 2+1 black hole for any value of the nonminimal coupling parameter $\zeta\neq0$ with a fixed self-interaction potential $U_\zeta(\Phi)$. For the range $0<\zeta\leq1/2$ potentials are bounded from below and for the range $0<\zeta<1/4$ the stealth field falls into the black hole and is swallowed by it at an exponential rate, without any consequence for the black hole.

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