Brane Waves

Details Brane Waves Brane Waves

2004-05-17

arxiv.org/abs/gr-qc/0405089v3

Class.Quant.Grav. 21 (2004) 5759-5766

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages v3:revised version, to appear in CQG

Scientific paper

10.1088/0264-9381/21/24/005

In brane-world cosmology gravitational waves can propagate in the higher dimensions (i.e., in the `bulk'). In some appropriate regimes the bulk gravitational waves may be approximated by plane waves. We systematically study five-dimensional gravitational waves that are algebraically special and of type N. In the most physically relevant case the projected non-local stress tensor on the brane is formally equivalent to the energy-momentum tensor of a null fluid. Some exact solutions are studied to illustrate the features of these branes; in particular, we show explicity that any plane wave brane can be embedded into a 5-dimensional Siklos spacetime. More importantly, it is possible that in some appropriate regime the bulk can be approximated by gravitational plane waves and thus may act as initial conditions for the gravitational field in the bulk (thereby enabling the field equations to be integrated on the brane).

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