19-20 December 2018
Centre for Particle Theory, Durham
Europe/London timezone

Renormalised vacuum polarisation on topological black holes

20 Dec 2018, 11:50
CM107 (Department of Mathematical Sciences)


Department of Mathematical Sciences


Thomas Morley (University of Sheffield)


Anti-de Sitter spacetime is a solution of Einstein’s equations with a negative cosmological constant. This fact allows for unusual black hole solutions with non-spherical horizon topology. We calculate the renormalised vacuum polarisation for black holes with spherical, flat and hyperbolic event horizons, following the “extended coordinates” method, which uses a mode-sum representation for the Hadamard parametrix. Renormalisation counter terms are subtracted from the Green’s function mode-by-mode, leaving each individual term manifestly finite.

Primary author

Thomas Morley (University of Sheffield)

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