Spacetime thermodynamics and entanglement entropy: the Einstein field equations

Abstract

In this master thesis, the posibility of a connection between spacetime dynamics (driven by the Einstein equations) and thermodynamics is discussed. Some known results, like the Raychaudhuri equation or the Unruh effect are reviewed in order to make the presentation self-contained. The Einstein equations are derived in two different ways from thermodynamic arguments. Some questions regarding the implications of this thermodynamic interpretation of spacetime are discussed as a conclusion of the thesis.