The Kerr black hole and rotating black string by intersecting M-branes

TL;DR

This paper constructs non-BPS rotating black brane solutions in string and M-theory from the Kerr metric, revealing new charged black string and black hole solutions with potential applications in AdS/CFT correspondence.

Contribution

It provides a general method to derive brane configurations from the Kerr metric and explicitly constructs new charged rotating black solutions in M-theory and string theory.

Findings

Derived three charged M-theory solution that becomes a rotating black string after compactification.

Found four charged solution with pp-wave in M-theory, leading to charged dilaton black holes.

Presented solutions suitable for applying AdS/CFT correspondence.

Abstract

We construct the non-BPS black brane representation from the Kerr metric using the U-duality and symmetries in string or M-theory. We give the general rule to get the brane configuration and we apply it especially for Kerr metric. We find the three charged solution in M-theory and after the compactification it becomes rotating black string solution in five dimension. We also find the four charged solution containing the pp-wave in M-theory, and we can find charged dilaton rotating black hole solution in four dimension after the torus compactification. This solution has the other representation in string theory, which is easy to apply the AdS/CFT correspondence.