One-fluid equations of general relativistic two-fluid plasma with the Landau-Lifshitz radiation reaction force in curved space

Abstract: Incorporating the radiation reaction force into two-fluid plasma in curved space, we get a set of one-fluid general relativistic magnetohydrodynamics (GRMHD) equations with the Landau-Lifshitz radiation reaction force. We analyze the importance of the radiation reaction acting on plasma around an astrophysical compact object.