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- Title
DYNAMICAL BACKREACTION IN ROBERTSON-WALKER SPACETIME.
- Authors
ELTZNER, BENJAMIN; GOTTSCHALK, HANNO
- Abstract
The treatment of a quantized field in a curved spacetime requires the study of backreaction of the field on the spacetime via the semiclassical Einstein equation. We consider a free scalar field in spatially flat Robertson-Walker spacetime. We require the state of the field to allow for a renormalized semiclassical stress tensor. We calculate the singularities of the stress tensor restricted to equal times in agreement with the usual renormalization prescription for Hadamard states to perform an explicit renormalization. The dynamical system for the Robertson-Walker scale parameter a(t) coupled to the scalar field is finally derived for the case of conformal and also general coupling.
- Subjects
QUANTUM field theory; NUMERICAL solutions to Einstein field equations; FIELD theory (Physics); GENERAL relativity (Physics); SPACETIME; SCALAR field theory; RENORMALIZATION (Physics); METAPHYSICAL cosmology
- Publication
Reviews in Mathematical Physics, 2011, Vol 23, Issue 5, p531
- ISSN
0129-055X
- Publication type
Article
- DOI
10.1142/S0129055X11004357