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.
Dynamics of spherical charged dust shells in de Sitter space
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abstract
We study the dynamics of charged, spherically symmetric dust shells in the presence of a positive cosmological constant. We find generalizations of the well-known solutions in asymptotically flat spacetime, in particular orbits into "parallel universes", but also new solutions corresponding to a "bounce" of the shell before an event horizon has formed. We also discuss "bubble" solutions, in which a charged shell and an oppositely charged singularity are spontaneously created and annihilated.
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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.