Topological Black Holes in Gauss-Bonnet Gravity with conformally invariant Maxwell source

Details Topological Black Holes in Gauss-Bonnet Gravity with conformally invariant Maxwell source Topological Black Holes in Gauss-Bonnet Gravity with conformally invariant Maxwell source

2010-07-15

arxiv.org/abs/1007.2479v2

Phys.Lett.B 677:123-132,2009

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 4 figures, some references added

Scientific paper

10.1016/j.physletb.2009.03.085

In this paper, we present a class of rotating solutions in Gauss--Bonnet gravity in the presence of cosmological constant and conformally invariant Maxwell field and study the effects of the nonlinearity of the Maxwell source on the properties of the spacetimes. These solutions may be interpret as black brane solutions with inner and outer event horizons provide that the mass parameter $m$ is greater than an extremal value $m_{ext}$, an extreme black brane if $m=m_{ext}$ and a naked singularity otherwise. We investigate the conserved and thermodynamics quantities for asymptotically flat and asymptotically $AdS$ with flat horizon. We also show that the conserved and thermodynamic quantities of these solutions satisfy the first law of thermodynamics.

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