Stable cosmological models driven by a free quantum scalar field

Details Stable cosmological models driven by a free quantum scalar field Stable cosmological models driven by a free quantum scalar field

2008-01-18

arxiv.org/abs/0801.2850v2

Phys.Rev.D77:104015,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, 1 figure and revtex. Comments and references added

Scientific paper

10.1103/PhysRevD.77.104015

In the mathematically rigorous analysis of semiclassical Einstein's equations, the renormalisation of the stress-energy tensor plays a crucial role. We address such a topic in the case of a scalar field with both arbitrary mass and coupling with gravity in the hypothesis that the underlying algebraic quantum state is of Hadamard type. Particularly, if we focus on highly symmetric solutions of the semiclassical Einstein's equations, the envisaged method displays a de Sitter type behaviour even without an a priori introduced cosmological constant. As a further novel result we shall show that these solutions turn out to be stable.

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