Theory of postNewtonian radiation and reaction
Abstract
We address issues with extant formulations of dissipative effects in the effective field theory (EFT) which describe the postNewtonian (PN) inspiral of two gravitating bodies by (re)formulating several parts of the theory. Novel ingredients include gaugeinvariant spherical fields in the radiation zone; a system zone that preserves time reversal such that its violation arises not from local odd propagation but rather from interaction with the radiation sector in a way that resembles the balayage method; twoway multipoles to perform zone matching within the EFT action; and a doublefield radiationreaction action that is the nonquantum version of the closed time path formalism and generalizes to any theory with directed propagators including theories that are defined by equations of motion rather than an action. This formulation unifies the treatment of outgoing radiation and its reaction force. We demonstrate the method in the scalar, electromagnetic, and gravitational cases by economizing the following: the expression for the radiation source multipoles; the derivation of the leading outgoing radiation and associated reaction force such that it is maximally reduced to mere multiplication; and the derivation of the gravitational nexttoleading PN order. In fact we present a novel expression for the +1PN correction to all mass multipoles. We introduce useful definitions for multiindex summation, for the normalization of Bessel functions, and for the normalization of the gravitomagnetic vector potential.
 Publication:

Physical Review D
 Pub Date:
 November 2013
 DOI:
 10.1103/PhysRevD.88.104037
 arXiv:
 arXiv:1305.6930
 Bibcode:
 2013PhRvD..88j4037B
 Keywords:

 04.25.Nx;
 04.30.Db;
 PostNewtonian approximation;
 perturbation theory;
 related approximations;
 Wave generation and sources;
 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 v3: version published in Phys.Rev.D