Hamiltonian dynamics and the entropy of the gravitational field

Physics

Scientific paper

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Scientific paper

We take a statistical mechanics approach to investigate the function S = ln Ω as a possible ``gravitational entropy'', where Ω is the phase-space volume bounded by a Hamiltonian H. We calculate Ω for several cosmological models, attributing entropy to a lack of knowledge in the exact field configuration. We also compare our results with Penrose's C2 hypothesis and the Bekenstein-Hawking entropy for black holes.

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