Hamburg 2016 – scientific programme

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GR: Fachverband Gravitation und Relativitätstheorie

GR 1: Quantum (Field) Theory and Gravity

GR 1.2: Invited Talk

Monday, February 29, 2016, 09:45–10:30, VMP6 HS A

Semiclassical Einstein equation — •Rainer Verch — Institut für Theoretische Physik, Universität Leipzig

The semiclassical Einstein equation is formulated in the setting of quantum field theory in curved spacetimes, and features the Einstein tensor of a classical spacetime geometry on the left hand side, and the expectation value of the stress-energy tensor of a quantum field on that classical spacetime geometry, in a suitable state, on the right hand side. In the talk, several results pertaining to this equation, which have emerged over the past several years, will be reviewed. This includes, in particular, ruling out certain ``designer spacetime'' scenarios, solutions and stability for cosmological spacetimes, the possibility or not of having Chaplygin-gas type solutions, quantization of fluctuations in cosmology, and the non-relativistic limit.