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First law of binary black hole mechanics in general relativity and post-Newtonian theory

First law of binary black hole mechanics in general relativity and post-Newtonian theory

First laws of black hole mechanics, or thermodynamics, come in a variety of different forms. In this paper, from a purely post-Newtonian (PN) analysis, we obtain a first law for binary systems of point masses moving along an exactly circular orbit. Our calculation is valid through 3PN order and includes, …