Classical back reaction of low-frequency cosmic gravitational radiation

Details Classical back reaction of low-frequency cosmic gravitational radiation Classical back reaction of low-frequency cosmic gravitational radiation

1999-06-04

arxiv.org/abs/gr-qc/9906018v1

Phys.Rev. D60 (1999) 044008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 double column pages, no figs, submitted to Phys.Rev.D

Scientific paper

10.1103/PhysRevD.60.044008

We study in a Brill-Hartle type of approximation the back reaction of a superposition of linear gravitational waves on the mean gravitational field up to second order in the wave amplitudes. The background field is taken as an Einstein-deSitter geometry. In order to follow inflationary scenarios, the wavelengths are allowed to exceed the temporary Hubble distance. As in optical coherence theory, the wave amplitudes are considered as random variables, which form a homogeneous and isotropic stochastic process, sharing the symmetries of the background metric. The effective stress-energy tensor for the random waves is calculated in terms of correlation functions and covers subhorizon as well as superhorizon modes, the latter give in many cases negative contributions to energy density and pressure. We discuss solutions of the second-order equations including pure gravitational radiation universes.

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