Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-04-11
Phys. Lett. B 679 (2009) 311
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, one figure, to appear in Phys. Lett. B
Scientific paper
It is well-known that in four dimensions, black hole solution of the Brans-Dikce-Maxwell equations is just the Reissner-Nordstrom solution with a constant scalar field. However, in $n\geq4$ dimensions, the solution is not yet the $(n+1)$-dimensional Reissner-Nordstrom solution and the scalar field is not a constant in general. In this paper, by applying a conformal transformation to the dilaton gravity theory, we derive a class of black hole solutions in $(n+1)$-dimensional $(n\geq 4)$ Brans-Dikce-Maxwell theory in the background of anti-de Sitter universe. We obtain the conserved and thermodynamic quantities through the use of the Euclidean action method. We find a Smarr-type formula and perform a stability analysis in the canonical ensemble. We find that the solution is thermally stable for small $\alpha$, while for large $\alpha$ the system has an unstable phase, where $\alpha $ is a coupling constant between the scalar and matter field.
Sheykhi Ahmad
Yazdanpanah Mohammad. M.
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