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In this paper we study the concept of the boost mass of a spacetime andinvestigate how variations in the boost mass enter into the laws of black holemechanics. We define the boost mass as the gravitational charge associated withan asymptotic boost symmetry, similiar to how the ADM mass is associated withan asymptotic time translation symmetry. In distinction to the ADM mass, theboost mass is a relevant concept when the spacetime has stress energy atinfinity, and so the spacetime is not asymptotically flat. We prove a versionof the first law which relates the variation in the boost mass to the change inthe area of the black hole horizon, plus the change in the area of anacceleration horizon, which is necessarily present with the boost Killingfield, as we discuss. The C-metric and Ernst metric are two known analyticalsolutions to Einstein-Maxwell theory describing accelerating black holes whichillustrate these concepts.Comment: 23 pages, A few modifications and clarifications at the referee's  suggestions; References added and correcte

Boost mass and the mechanics of accelerated black holes