In a non-flat Friedmann universe, the unified first law dE = TdS + WdV and the energy-flux form -dE = TdS are consistent only when the horizon volume is taken as the areal volume, not the proper invariant volume.
A Physical Interpretation of Gravitational Field Equations
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abstract
It is possible to provide a thermodynamic interpretation for the field equations in any diffeomorphism invariant theory of gravity. This insight, in turn, leads us to the possibility of deriving the gravitational field equations from another variational principle without using the metric as a dynamical variable. I review this approach and discuss its implications.
fields
gr-qc 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
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First Law of Thermodynamics and Emergence of Cosmic Space in a Non-Flat Universe
In a non-flat Friedmann universe, the unified first law dE = TdS + WdV and the energy-flux form -dE = TdS are consistent only when the horizon volume is taken as the areal volume, not the proper invariant volume.