The Entropy of the Gravitational Field

Details The Entropy of the Gravitational Field The Entropy of the Gravitational Field

1992-08-20

arxiv.org/abs/gr-qc/9208009v1

Phys.Rev. D48 (1993) 2443-2455

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

40 pages, uses REVTEX

Scientific paper

10.1103/PhysRevD.48.2443

We derive a formula for the nonequilibrium entropy of a classical stochastic field in terms of correlation functions of this field. The formalism is then applied to define the entropy of gravitational perturbations (both gravitational waves and density fluctuations). We calculate this entropy in a specific cosmological model (the inflationary Universe) and find that on scales of interest in cosmology the entropy in both density perturbations and gravitational waves exceeds the entropy of statistical fluctuations of the microwave background. The nonequilibrium entropy discussed here is a measure of loss of information about the system. We discuss the origin of the entropy in our cosmological models and compare the definition of entropy in terms of correlation functions with the microcanonical definition in quantum statistical mechanics.

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