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2015

Numerical computation of the EOB potential q using self-force results

Akcay, Sarp, van de Meent, Maarten

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The effective-one-body theory (EOB) describes the conservative dynamics of compact binary systems in terms of an effective Hamiltonian approach.

The Hamiltonian for moderately eccentric motion of two non-spinning compact objects in the extreme mass-ratio limit is given in terms of three potentials: $a(v), \bar{d}(v), q(v)$.
By generalizing the first law of mechanics for (non-spinning) black hole binaries to eccentric orbits, [\prd{\bf92}, 084021 (2015)] recently obtained new expressions for $\bar{d}(v)$ and $q(v)$ in terms of quantities that can be readily computed using the gravitational self-force approach.
Using these expressions we present a new computation of the EOB potential $q(v)$ by combining results from two independent numerical self-force codes.

Numerical computation of the EOB potential q using self-force results · Around

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