The Energy-Momentum Tensor for Cosmological Perturbations

Details The Energy-Momentum Tensor for Cosmological Perturbations The Energy-Momentum Tensor for Cosmological Perturbations

1997-04-14

arxiv.org/abs/gr-qc/9704037v5

Phys.Rev. D56 (1997) 3248-3257

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

29 pages, LaTex; to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.56.3248

We study the effective energy-momentum tensor (EMT) for cosmological perturbations and formulate the gravitational back-reaction problem in a gauge invariant manner. We analyze the explicit expressions for the EMT in the cases of scalar metric fluctuations and of gravitational waves and derive the resulting equations of state. The formalism is applied to investigate the back-reaction effects in chaotic inflation. We find that for long wavelength scalar and tensor perturbations, the effective energy density is negative and thus counteracts any pre-existing cosmological constant. For scalar perturbations during an epoch of inflation, the equation of state is de Sitter-like.

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