2006/02/01 by Christopher Eling, Raf Guedens, Ted Jacobson · 1 citation
Physics and Astronomy · #gr-qc #cond-mat.stat-mech #hep-th #quant-ph
paper · pdf · doi:10.1103/physrevlett.96.121301
published as Phys.Rev.Lett.96:121301,2006 · 4 pages. Dedicated to Rafael Sorkin on the occasion of his 60th birthday
arxiv created 2006/02/01 · arxiv updated 2011/05/05
It has previously been shown that the Einstein equation can be derived from the requirement that the Clausius relation dS = dQ/T hold for all local acceleration horizons through each spacetime point, where dS is one quarter the horizon area change in Planck units, and dQ and T are the energy flux across the horizon and Unruh temperature seen by an accelerating observer just inside the horizon. Here we show that a curvature correction to the entropy that is polynomial in the Ricci scalar requires a non-equilibrium treatment. The corresponding field equation is derived from the entropy balance relation dS =dQ/T+dSi, where dSi is a bulk viscosity entropy production term that we determine by imposing energy-momentum conservation. Entropy production can also be included in pure Einstein theory by allowing for shear viscosity of the horizon.