Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New analytical methods for gravitational radiation and reaction in
  binaries with arbitrary mass ratio and relative velocity   We present a new analytical framework for describing the dynamics of a
gravitational binary system with unequal masses moving with arbitrary relative
velocity, taking into account the backreaction from both compact objects in the
form of tidal deformation, gravitational waves and self forces. Allowing all
dynamical variables to interact with each other in a self-consistent manner
this formalism ensures that all the dynamical quantities involved are conserved
on the background spacetime and obey the gauge invariance under general
coordinate transformations that preserve the background geometry. Because it is
based on a generalized perturbation theory and the important new emphasis is on
the self-consistency of all the dynamical variables involved we call it a
gravitational perturbation theory with self-consistent backreaction (GP-SCB).
  As an illustration of how this formalism is implemented we construct
perturbatively a self-consistent set of equations of motion for an inspiraling
gravitational binary, which does not require extra assumptions such as slow
motion, weak-field or small mass ratio for its formulation. This case should
encompass the inspiral and possibly the plunge and merger phases of binaries
with otherwise general parameters (e.g., mass ratio and relative velocity)
though more investigation is needed to substantiate it.
  In the second part, we discuss how the mass ratio can be treated as a
perturbation parameter in the post-Newtonian effective field theory (PN-EFT)
approach, thus extending the work of Goldberger and Rothstein for equal mass
binaries to variable mass ratios. We provide rough estimates for the higher
post-Newtonian orders needed to determine the number of gravitational wave
cycles, with a specified precision, that fall into a detector's bandwidth.

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The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn