On thermodynamics and gravity

Resumo

A new entropic gravity inspired derivation of general relativity from thermodynamics is presented. This generalizes the “Thermodynamics of Spacetime” approach by T. Jacobson, which relies on the null Raychaudhuri evolution equation. Here the rest of the first law of thermodynamics is incorporated by using the null Damour–Navier–Stokes equation, known from the membrane paradigm for describing the tangential flow of deformations along a horizon.