Complete nonspinning effective-one-body metric at linear order in the mass ratio
Complete nonspinning effective-one-body metric at linear order in the mass ratio
Using the main result of a companion paper, in which the binding energy of a circular-orbit nonspinning compact binary system is computed at leading-order beyond the test-particle approximation, the exact expression of the effective-one-body (EOB) metric component ${g}_{tt}^{\mathrm{eff}}$ is obtained through first order in the mass ratio. Combining these results …