Black holes with gravitational hair in higher dimensions
Anabalon
A
author
Canfora
F
author
Giacomini
A
author
Oliva
J
author
2011
English
A new class of vacuum black holes for the most general gravity theory leading to second order field equations in the metric in even dimensions is presented. These space-times are locally anti-de Sitter in the asymptotic region, and are characterized by a continuous parameter that does not enter in the conserve charges, nor it can be reabsorbed by a coordinate transformation: it is therefore a purely gravitational hair. The black holes are constructed as a warped product of a two-dimensional space-time, which resembles the r-t plane of the Banados-Teitelboim-Zanelli black hole, times a warp factor multiplying the metric of a D – 2-dimensional Euclidean base manifold, which is restricted by a scalar equation. It is shown that all the Noether charges vanish. Furthermore, this is consistent with the Euclidean action approach: even though the black hole has a finite temperature, both the entropy and the mass vanish. Interesting examples of base manifolds are given in eight dimensions which are products of Thurston geometries, giving then a nontrivial topology to the black hole horizon. The possibility of introducing a torsional hair for these solutions is also discussed.
WOS:000296527000003
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text
files/158_Anabalon_etal2011.pdf
10.1103/PhysRevD.84.084015
Anabalon_etal2011
Physical Review D
Phys. Rev. D
2011
Amer Physical Soc
continuing
periodical
academic journal
84
8
10 pp
1550-7998