General Modified Friedmann Equations in Rainbow Flat Universe, by Thermodynamics

Abstract: We investigate the derivation of Friedmann equations in Rainbow gravity following Jacobson thermodynamic approach. We do not restrict the rainbow functions to be constant as is customarily used, and show that the first law of thermodynamics with a corresponding classical' proportionality between entropy and surface area, supplemented eventually by aquantum' logarithmic correction, are not in general sufficient to obtain the equations in flat FRW metrics.