Gravitational waves originated before compactification in Kaluza-Klein theory

Details Gravitational waves originated before compactification in Kaluza-Klein theory Gravitational waves originated before compactification in Kaluza-Klein theory

2007-09-14

arxiv.org/abs/0709.2253v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, Dimension of the internal space is generalized to n

Scientific paper

We investigate the propagation of multidimensional gravitational waves generated before compactification and observes today as 4-dimensional gravitational waves and gauge fields by generalizing the investigation of Alesci and Montani(AM) to the case where the internal space is an n-sphere. We also derive the 4-dimensional forms of the multidimensional harmonic gauge condition. The primary difference from the case of AM comes from the effect of curvature of the internal space which prevent the space to be static. The other effects are explicitly shown for propagation of the waves in our 4-dimensional spacetime. Static internal space exists if multidimensional cosmologicalconstant is present. Then the situation is similar to the one-dimensional internal space.

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