An interior-asymptotic approach to the binary black hole problem

OSVALDO M. MORESCHI

Villa General Belgrano, Córdoba, Argentina

Workshop; Apples with apples: Workshop on numerical relativity; 2005

We present an approach to the binary black hole problem that makes use of two complementary techniques. We study the dynamical equations for a binary system of compact objects arising from the asymptotic structure of the corresponding isolated system. We make use of the center of mass frame at future null infinity and keep terms up to first order of gravitational radiation. We complement this system with the equations of motion of two black holes, in the interior of the spacetime.