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The Entropy of the Gravitational Field

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arxiv gr-qc/9208009 v1 pith:BPN4JPZR submitted 1992-08-20 gr-qc astro-phhep-th

R. Brandenberger(Brown) , T.Prokopec(Brown) , V. Mukhanov(ETH , Zurich) This is my paper · ORCID
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keywords entropygravitationalfieldcorrelationcosmologicaldefinitiondensityfluctuations
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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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    Requiring decohered cosmological perturbations to admit a classical P-function forces their momentum variance above the vacuum value, and demanding a linear gravitational potential at reheating bounds that variance by...

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