Multidimensional gravitational waves. I. Purely radiative spacetimes

Details Multidimensional gravitational waves. I. Purely radiative spacetimes Multidimensional gravitational waves. I. Purely radiative spacetimes

Jan 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991gregr..23...29s&link_type=abstract

General Relativity and Gravitation, Volume 23, Issue 1, pp.29-46

Physics

1

Scientific paper

The concept of gravitational radiation in multidimensional Einstein gravity is studied. Due to technical difficulties the Petrov classification of the conformal tensor and the “peeling off” theorem cannot be generalized to spaces of dimensiond > 4. A multidimensionalpp wave is defined by analogy with that ford = 4. If the definition is supplemented by the Lichnerowicz condition for purely radiative spacetimes, the admitted solutions of the dimensionally reduced gravity theory describe a scalar (dilaton) and a gravitationalpp wave moving in the external spacetime in the same direction. The existence of the extra dimensions can be traced back by measuring the frequence of thepp wave in the external space. The condition is equally restrictive in a more general case of the internal space being a flat anisotropic manifold (i.e. an abelian group space).

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