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Spacetime Equilibrium at Negative Temperature and the Attraction of Gravity

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arxiv 1904.04843 v2 pith:YTJNXPHC submitted 2019-04-09 gr-qc hep-th

Spacetime Equilibrium at Negative Temperature and the Attraction of Gravity

classification gr-qc hep-th
keywords diamondgravitytemperatureabsoluteattractionattractivenesscausalcondition
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We derive the Einstein equation from the condition that every small causal diamond is a variation of a flat empty diamond with the same free conformal energy, as would be expected for a near-equilibrium state. The attractiveness of gravity hinges on the negativity of the absolute temperature of these diamonds, a property we infer from the generalized entropy.

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    Derives semi-classical gravity from thermodynamics of stretched light cones in 2D dilaton gravity with explicit conformal anomaly backreaction and shows equations of motion follow from dynamical Wald entropy in Brans-...