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General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th
Abstract:
We present a novel derivation of Einstein equations from the balance between
Clausius entropy crossing the boundary of a local causal diamond and
entanglement entropy associated with its horizon. Comparing this derivation
with the entanglement equilibrium approach developed by Jacobson, we are able
to argue for the equivalence of matter entanglement and Clausius entropy in the
semiclassical regime. We also provide a direct comparison of both entropies for
conformal matter, showing their equivalence without appealing to gravitational
dynamics. Furthermore, we determine that gravitational dynamics implied by
thermodynamics of spacetime, in fact, corresponds to unimodular gravity rather
than general relativity.
