Nonlinear gravitational waves and their polarization

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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9 pages. LateX. Minor corrections

Scientific paper

10.1016/S0370-2693(02)02622-9

Vacuum gravitational fields invariant for a non Abelian Lie algebra generated
by two Killing fields whose commutator is light-like are analyzed. It is shown
that they represent nonlinear gravitational waves obeying to two nonlinear
superposition laws. The energy and the polarization of this family of waves are
explicitely evaluated.

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