English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

Pragmatic approach to gravitational radiation reaction in binary Black holes

MPS-Authors

Lousto,  Carlos O.
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

External Ressource
No external resources are shared
Fulltext (public)

Phy.Rev.Lett.84.5251.pdf
(Publisher version), 138KB

9912017v2.pdf
(Preprint), 213KB

Supplementary Material (public)
There is no public supplementary material available
Citation

Lousto, C. O. (2000). Pragmatic approach to gravitational radiation reaction in binary Black holes. Physical Review Letters, 84(23), 5251-5254. doi:10.1103/PhysRevLett.84.5251.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-5718-D
Abstract
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.