Nonlinear Gravitational Waves as Dark Energy in Warped Spacetimes
AbstractWe find an azimuthal-angle dependent approximate wave like solution to second order on a warped five-dimensional manifold with a self-gravitating U(1) scalar gauge field (cosmic string) on the brane using the multiple-scale method. The spectrum of the several orders of approximation show maxima of the energy distribution dependent on the azimuthal-angle and the winding numbers of the subsequent orders of the scalar field. This breakup of the quantized flux quanta does not lead to instability of the asymptotic wavelike solution due to the suppression of the n-dependency in the energy momentum tensor components by the warp factor. This effect is triggered by the contribution of the five dimensional Weyl tensor on the brane. This contribution can be understood as dark energy and can trigger the self-acceleration of the universe without the need of a cosmological constant. There is a striking relation between the symmetry breaking of the Higgs field described by the winding number and the SO(2) breaking of the axially symmetric configuration into a discrete subgroup of rotations of about 180
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Slagter, R.J. Nonlinear Gravitational Waves as Dark Energy in Warped Spacetimes. Universe 2017, 3, 11.
Slagter RJ. Nonlinear Gravitational Waves as Dark Energy in Warped Spacetimes. Universe. 2017; 3(1):11.Chicago/Turabian Style
Slagter, Reinoud J. 2017. "Nonlinear Gravitational Waves as Dark Energy in Warped Spacetimes." Universe 3, no. 1: 11.