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Two-timescale adiabatic expansion of a scalar field model · Around

2007

Two-timescale adiabatic expansion of a scalar field model

Mino, Yasushi, Price, Richard

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The analysis of gravitational wave data may require greater accuracy than is afforded by the adiabatic approximation to the trajectory of and field produced by a particle moving in curved spacetime.

Higher accuracy is available with a two-timescale approach using as an expansion parameter the ratio of orbital time to radiation reaction time.
To avoid apparent divergences at large distances, the details of the method are important, especially the choice of the foliation, the spacetime surfaces on which the orbital elements are taken to be constant.
Here we apply the two-timescale approach to a simple linear model to demonstrate the details of the method.

Built on

J. Mathews and R. L. Walker, Mathematical Methods of Physics 2nd ed
1970
Earlier work this paper cites.
S. A. Teukolsky, Astrophys. J. 185
1974
Earlier work this paper cites.
F. G. Friedlander, The Wave Equation on a Curved Space-Time
1976
Earlier work this paper cites.
D. Kennefick , A. Ori, Phys.Rev. D53 (1996) 4319, [arXiv:gr-qc/9512018] and Y. Mino, M. Sasaki, M. Shibata, H. Tagoshi, T. Tanaka, Sec. 10, Prog.Theor.Phys.Suppl. 128
1997
Earlier work this paper cites.

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