Quantum expectation values on black hole space-times

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Elizabeth Winstanley (University of Sheffield)

24 October 2018

The renormalised expectation value of the stress energy tensor (RSET) is an object of central importance in quantum field theory in curved space-time, but calculating this on black hole space-times is far from trivial. The standard methodology was developed in the 1980s and 1990s and successfully applied to a range of quantum fields on Schwarzschild black holes.

The subject received an impetus in the last few years with to the development of two novel approaches to computing the RSET and renormalized vacuum polarization (VP). These advances have enabled calculations on a wider range of black hole space-times to be performed.

In this talk we will review both the standard and novel methodologies and some results for the RSET and VP on asymptotically flat, de Sitter and anti-de Sitter black holes.