Non-equilibrium Thermodynamics of Spacetime

@misc{citeulike:697616, abstract = {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+dS\_i, where dS\_i 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.}, author = {Eling, Christopher and Guedens, Raf and Jacobson, Ted }, citeulike-article-id = {697616}, eprint = {gr-qc/0602001}, keywords = {non-equilibrium, space-time, thermodynamics}, month = {Feb}, posted-at = {2006-10-20 21:45:55}, priority = {2}, title = {Non-equilibrium Thermodynamics of Spacetime}, url = {http://arxiv.org/abs/gr-qc/0602001}, year = {2006} }

TY - ELEC ID - citeulike:697616 L3 - citeulike-article-id:697616 TI - Non-equilibrium Thermodynamics of Spacetime N2 - 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+dS_i, where dS_i 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. KW - non-equilibrium KW - space-time KW - thermodynamics AU - Eling, Christopher AU - Guedens, Raf AU - Jacobson, Ted PY - 2006/Feb/01/ UR - http://arxiv.org/abs/gr-qc/0602001 ER -