Nonlinear self-interaction of plane gravitational waves

Details Nonlinear self-interaction of plane gravitational waves Nonlinear self-interaction of plane gravitational waves

2003-03-18

arxiv.org/abs/astro-ph/0303412v1

Phys.Rev. D67 (2003) 087501

Astronomy and Astrophysics

Astrophysics

2 pages, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.67.087501

Recently Mendonca and Cardoso [Phys. Rev. D, vol. 66, 104009 (2002)] considered nonlinear gravitational wave packets propagating in flat space-time. They concluded that the evolution equation - to third order in amplitude - takes a similar form to what arises in nonlinear optics. Based on this equation, the authors found that nonlinear gravitational waves exhibit self-phase modulation and high harmonic generation leading to frequency up-shifting and spectral energy dilution of the gravitational wave energy. In this Brief Report we point out the fact - a possibility that seems to have been overlooked by Mendonca and Cardoso - that the nonlinear terms in the evolution equation cancels and, hence, that there is no amplitude evolution of the pulse. Finally we discuss scenarios where these nonlinearities may play a role.

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