TY - JOUR

T1 - Gravitational field and equations of motion of spinning compact binaries to 2.5 post-Newtonian order

AU - Tagoshi, Hideyuki

AU - Ohashi, Akira

AU - Owen, Benjamin J.

N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.

PY - 2001

Y1 - 2001

N2 - We derive spin-orbit coupling effects on the gravitational field and equations of motion of compact binaries in the 2.5 post-Newtonian approximation to general relativity, one PN order beyond where spin effects first appear. Our method is based on that of Blanchet, Faye, and Ponsot, who use a post-Newtonian metric valid for general (continuous) fluids and represent pointlike compact objects with a 5-function stress-energy tensor, regularizing divergent terms by taking the Hadamard finite part. To obtain post-Newtonian spin effects, we use a different 5-function stress-energy tensor introduced by Bailey and Israel. In a future paper we will use the 2.5PN equations of motion for spinning bodies to derive the gravitational-wave luminosity and phase evolution of binary inspirais, which will be useful in constructing matched filters for signal analysis. The gravitational field derived here may help in posing initial data for numerical evolutions of binary black hole mergers.

AB - We derive spin-orbit coupling effects on the gravitational field and equations of motion of compact binaries in the 2.5 post-Newtonian approximation to general relativity, one PN order beyond where spin effects first appear. Our method is based on that of Blanchet, Faye, and Ponsot, who use a post-Newtonian metric valid for general (continuous) fluids and represent pointlike compact objects with a 5-function stress-energy tensor, regularizing divergent terms by taking the Hadamard finite part. To obtain post-Newtonian spin effects, we use a different 5-function stress-energy tensor introduced by Bailey and Israel. In a future paper we will use the 2.5PN equations of motion for spinning bodies to derive the gravitational-wave luminosity and phase evolution of binary inspirais, which will be useful in constructing matched filters for signal analysis. The gravitational field derived here may help in posing initial data for numerical evolutions of binary black hole mergers.

UR - http://www.scopus.com/inward/record.url?scp=0035076608&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.63.044006

DO - 10.1103/PhysRevD.63.044006

M3 - Article

AN - SCOPUS:0035076608

VL - 63

JO - Physical Review D

JF - Physical Review D

SN - 0556-2821

IS - 4

M1 - 044006

ER -