An Iyer-Wald first law is established for general perturbations of Reissner-Nordstrom-de Sitter black holes, and a second-order Sorce-Wald argument shows that near-extremal such black holes cannot be overcharged under the null energy condition.
Over-spinning Kerr-Sen black holes with test fields
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abstract
In this work we investigate validity of the weak form of the cosmic censorship conjecture in the interaction of Kerr-Sen black holes with neutral test fields. Previous studies of the Klein-Gordon equation on Kerr-Sen background imply that superradiance occurs for scalar fields. We show that scalar fields can overspin a nearly extremal black hole into a naked singularity, but the modes that could overspin an extremal black hole are not absorbed due to superradiance. From Kerr analogy one can naively expect superradiance to be absent for fermionic fields. In such a case overspinning becomes generic and also applies to extremal Kerr-Sen black holes. This robust violation of cosmic censorship cannot be fixed by backreaction effects which are ignored in this work. These results are analogous to the Kerr case.
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The First Law and Weak Cosmic Censorship for de Sitter Black Holes
An Iyer-Wald first law is established for general perturbations of Reissner-Nordstrom-de Sitter black holes, and a second-order Sorce-Wald argument shows that near-extremal such black holes cannot be overcharged under the null energy condition.