Charged-rotating black holes and black strings in higher dimensional Einstein-Maxwell theory with a positive cosmological constant

Abstract

We present arguments for the existence of charged, rotating black holes in $d=2N+1$ dimensions, with $d\ge 5$ with a positive cosmological constant. These solutions posses both, a regular horizon and a cosmological horizon of spherical topology and have $N$ equal-magnitude angular momenta. They approach asymptotically the de Sitter spacetime background. The counterpart equations for $d=2N+2$ are investigated, by assuming that the fields are independant of the extra dimension $y$, leading to black strings solutions. These solutions are regular at the event horizon. The asymptotic form of the metric is not the de Sitter form and exhibit a naked singularity at finite proper distance.

21 pages, 9 figures

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• Looking at the Gregory-Laflamme instability through quasi-normal modes
• Interpreting spacetimes of any dimension using geodesic deviation
• Electromagnetic Field in Higher-Dimensional Black-Hole Spacetimes
• Charged rotating black holes at large D
• Rotating Black Holes in Higher Dimensions
• Charged-Rotating Black Holes in Higher-dimensional (A)DS-Gravity
• Perturbative non uniform black strings in ${AdS}_6$
• New stable phase of non uniform black strings in ${AdS}_d$
• Non Uniform Black Strings and Critical Dimensions in $Ad{S}_d$