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arXiv · 1401.6094

Hartree approximation in curved spacetimes revisited II: The semiclassical Einstein equations and de Sitter self-consistent solutions

Diana L. López Nacir·Francisco D. Mazzitelli·Leonardo G. Trombetta
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Abstract

We consider the semiclassical Einstein equations (SEE) in the presence of a quantum scalar field with self-interaction $λϕ^4$. Working in the Hartree truncation of the two-particle irreducible (2PI) effective action, we compute the vacuum expectation value of the energy-momentum tensor of the scalar field, which act as a source of the SEE. We obtain the renormalized SEE by implementing a consistent renormalization procedure. We apply our results to find self-consistent de Sitter solutions to the SEE in situations with or without spontaneous breaking of the $Z_2$-symmetry.

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Diana L. López Nacir, Francisco D. Mazzitelli, Leonardo G. Trombetta. 2014-01-23. Hartree approximation in curved spacetimes revisited II: The semiclassical Einstein equations and de Sitter self-consistent solutions. https://doi.org/10.1103/physrevd.89.084013

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