Searching for nonminimally coupled scalar hairs.pdf
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US-FT/4-96
Searching for non-minimally coupled scalar hairs
Alberto Saa∗
Departamento de F´ısica de Part´ıculas
Universidade de Santiago de Compostela
6
9 15706 Santiago de Compostela, Spain
9
1
(February 4, 2008)
b
e
F
9
2
Abstract
1
v
1 In this work we study the asymptotically flat, static, and spherically sym-
6
0
2 metric black-hole solutions of the theory described by the action
0
6
9 S = dnx√−g 1 − ξφ2 R − gµν ∂ φ∂ φ ,
/ µ ν
c
q
-
r with n 3 and arbitrary ξ . We demonstrate the absence of scalar hairs for
g
: n−2
v ξ 0. For ξ ξc = 4(n−1) , we show that there is no scalar hair obeying
i
X |φ(r)| 1/√ξ or |φ(r)| 1/√ξ . For 0 ξ ξ , we prove the absence of
r c
a
√ξ or 1 2 ξc
scalar hairs such that |φ(r)| 1/ ξ φ (r) ξ (ξc −ξ) .
97.60.Lf, 04.70.Bw
Typeset using REVT X
E
1
The Bekenstein black-hole solution [1] for Einstein gravity conformally coupled to a
scalar
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