We study the relativistic orbit of binary black holes in systems with small mass ratio. The trajectory of the smaller object (another black hole or a neutron star), represented as a particle, is determined by the geodesic equation on the perturbed massive black hole spacetime. Here we study perturbations around a Schwarzschild black hole using Moncrief’s gauge invariant formalism. We decompose the perturbations into ℓ multipoles to show that all ℓ-metric coefficients are C0 at the location of the particle. Summing over ℓ, to reconstruct the full metric, gives a formally divergent result. We succeed in bringing this sum to a Riemann’s ζ-function regularization scheme and numerically compute the first-order geodesics. © 2000 The American Physical Society.
| Documento: | Artículo |
| Título: | Pragmatic approach to gravitational radiation reaction in binary black holes |
| Autor: | Lousto, C.O. |
| Filiación: | Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, Golm, D-14476, Germany Instituto de Astronomía y Física del Espacio–CONICET, Buenos Aires, Argentina |
| Año: | 2000 |
| Volumen: | 84 |
| Número: | 23 |
| Página de inicio: | 5251 |
| Página de fin: | 5254 |
| DOI: | http://dx.doi.org/10.1103/PhysRevLett.84.5251 |
| Título revista: | Physical Review Letters |
| Título revista abreviado: | Phys Rev Lett |
| ISSN: | 00319007 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00319007_v84_n23_p5251_Lousto |
