Stability of de Sitter spacetime under isotropic perturbations in semiclassical gravity

Details Stability of de Sitter spacetime under isotropic perturbations in semiclassical gravity Stability of de Sitter spacetime under isotropic perturbations in semiclassical gravity

2007-12-14

arxiv.org/abs/0712.2282v1

Phys.Rev.D77:124033,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages, REVTeX4

Scientific paper

10.1103/PhysRevD.77.124033

A spatially flat Robertson-Walker spacetime driven by a cosmological constant is non-conformally coupled to a massless scalar field. The equations of semiclassical gravity are explicitly solved for this case, and a self-consistent de Sitter solution associated with the Bunch-Davies vacuum state is found (the effect of the quantum field is to shift slightly the effective cosmological constant). Furthermore, it is shown that the corrected de Sitter spacetime is stable under spatially-isotropic perturbations of the metric and the quantum state. These results are independent of the free renormalization parameters.

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