General relativistic fluctuation theorems

Abstract

Using the recently proposed covariant framework of general relativistic stochastic mechanics and stochastic thermodynamics, we proved the detailed and integral fluctuation theorems in curved spacetime. The time-reversal transformation is described as a transformation from the perspective of future-directed observer to that of the corresponding past-directed observer, which enables us to maintain general covariance throughout the construction.

Keywords

• Langevin equation
• Fluctuation theorem
• Time-reversal symmetry
• General relativity