Some recent developments in strong cosmic censorship

Harvey Reall (University of Cambridge)

The strong cosmic censorship conjecture asserts that Cauchy horizons inside black holes should be unstable. I will describe some recent work on this conjecture for the Einstein-Maxwell equations with a cosmological constant. The conjecture is violated by a near-extremal Reissner-Nordstrom-de Sitter (RNdS) black hole but respected by Kerr-de Sitter black holes. With a negative cosmological constant in 2+1 dimensions, the conjecture is violated by a near-extremal BTZ black hole. I will describe two ways of rescuing the conjecture. One involves enlarging the class of admissible initial data. The second involves quantum field theory effects.