Stealth scalar field overflying a 2+1 black hole

Eloy Ayón-Beato; Cristián Martínez; Jorge Zanelli

doi:10.1007/s10714-005-0213-x

Stealth scalar field overflying a 2+1 black hole

Eloy Ayón-Beato^*, Cristián Martínez, Jorge Zanelli

^*Autor correspondiente de este trabajo

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

77 Citas (Scopus)

Resumen

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 ζ/=0 with a fixed self-interaction potential U _ζ(Φ). For the range 0 < ζ ≤1/2 potentials are bounded from below and for the range 0 < ζ < 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.

Idioma original	Inglés
Páginas (desde-hasta)	145-152
Número de páginas	8
Publicación	General Relativity and Gravitation
Volumen	38
N.º	1
DOI	https://doi.org/10.1007/s10714-005-0213-x
Estado	Publicada - 2006
Publicado de forma externa	Sí

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Física y astronomía (miscelánea)

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title = "Stealth scalar field overflying a 2+1 black hole",

abstract = "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 ζ/=0 with a fixed self-interaction potential U ζ(Φ). For the range 0 < ζ ≤1/2 potentials are bounded from below and for the range 0 < ζ < 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.",

keywords = "BTZ black hole, Nonminimal coupling, Stealth configuration",

author = "Eloy Ay{\'o}n-Beato and Cristi{\'a}n Mart{\'i}nez and Jorge Zanelli",

note = "Funding Information: Acknowledgements We are thankful to A. Garc{\'i}a, M. Hassaine, V. Husain, D. Robinson, and R. Troncoso for many enlightening and helpful discussions. This work was partially funded by FONDECYT Grants 1040921, 1020629, 1010446, 1010449, 1010450, 1051064, 1051056, 7020629, and 7040190 from, CONACyT Grants 38495E and 34222E, CONICYT/CONACyT Grant 2001-5-02-159 and Fundaci{\'o}n Andes Grant D-13775. The generous support of Empresas CMPC to the Centro de Estudios Cient{\'i}ficos (CECS) is also acknowledged. CECS is a Millennium Science Institute and is funded in part by grants from Fundaci{\'o}n Andes and the Tinker Foundation.",

year = "2006",

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doi = "10.1007/s10714-005-0213-x",

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AU - Ayón-Beato, Eloy

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AU - Zanelli, Jorge

N1 - Funding Information: Acknowledgements We are thankful to A. García, M. Hassaine, V. Husain, D. Robinson, and R. Troncoso for many enlightening and helpful discussions. This work was partially funded by FONDECYT Grants 1040921, 1020629, 1010446, 1010449, 1010450, 1051064, 1051056, 7020629, and 7040190 from, CONACyT Grants 38495E and 34222E, CONICYT/CONACyT Grant 2001-5-02-159 and Fundación Andes Grant D-13775. The generous support of Empresas CMPC to the Centro de Estudios Científicos (CECS) is also acknowledged. CECS is a Millennium Science Institute and is funded in part by grants from Fundación Andes and the Tinker Foundation.

PY - 2006/1

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N2 - 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 ζ/=0 with a fixed self-interaction potential U ζ(Φ). For the range 0 < ζ ≤1/2 potentials are bounded from below and for the range 0 < ζ < 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.

AB - 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 ζ/=0 with a fixed self-interaction potential U ζ(Φ). For the range 0 < ζ ≤1/2 potentials are bounded from below and for the range 0 < ζ < 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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Stealth scalar field overflying a 2+1 black hole

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