Abstract
Virial relations are satisfied for equilibria and quasiequilibria of self-gravitating systems in general relativity and Newtonian gravity. First-law relations are also satisfied along sequences of equilibria and quasiequilibria of self-gravitating systems. These relations are useful for analyzing numerical solutions of equilibria and quasiequilibria. We derive these relations in scalar-tensor theories of gravity in an explicit form. The implication of these relations to compact binary evolution is also discussed.
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