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Phys. Rev. D 53, 7377 - 7380 (1996)

Searching for nonminimally coupled scalar hairs

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Alberto Saa
Departamento de Física de Partículas, Universidade de Santiago de Compostela, 15706 Santiago de Compostela, Spain

Received 16 October 1995

We study the asymptotically flat, static, and spherically symmetric black-hole solutions of the theory described by the action S=∫ dnx√-g{(1-ξφ2)R-gμν∂μφ∂ ν}, with n≳3 and arbitrary ξ. We demonstrate the absence of scalar hairs for ξ<0. For ξ≳ξc=(n-2)/4(n-1), we show that there is no scalar hair obeying |φ(r)|<1/√ξ or |φ(r)|≳1/√ξ. For 0<ξ<ξc, we prove the absence of scalar hairs such that |φ(r)|<1/√ξ or 1/ξ<φ2(r)<ξc/ξ(ξc-ξ). © 1996 The American Physical Society.


©1996 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevD.53.7377
DOI: 10.1103/PhysRevD.53.7377
PACS: 04.70.Bw, 97.60.Lf

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