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

Y. Brihaye·T. Delsate
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Abstract

We present arguments for the existence of charged, rotating black holes in $d=2N+1$ dimensions, with $d\geq 5$ 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.

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Y. Brihaye, T. Delsate. 2007-03-29. Charged-rotating black holes and black strings in higher dimensional Einstein-Maxwell theory with a positive cosmological constant. https://doi.org/10.1088/0264-9381%2F24%2F18%2F010

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