Application of gradient expansion to non-linear gravitational wave in plane-symmetric universe

Details Application of gradient expansion to non-linear gravitational wave in plane-symmetric universe Application of gradient expansion to non-linear gravitational wave in plane-symmetric universe

1995-10-06

arxiv.org/abs/gr-qc/9510010v1

Prog.Theor.Phys. 95 (1996) 295-311

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

26 pages, gzip and uuencoded postscript file

Scientific paper

10.1143/PTP.95.295

As an application of Gradient Expansion (long-wavelength) approximation, we studied the inhomogeneous universe including the gravitational wave(GW). For a plane-symmetric cosmological model, we could implement the 2nd order expansion and analyze the purely non-linear perturbation of GW. The result indicates that the non-linear effect plays an important role in anisotropic stage of the universe. We also confirm that the perturbation from the linear source term in gradient expansion is consistent with the result of linear perturbation.

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