Cosmology in ten dimensions with the generalised gravitational Lagrangian

Details Cosmology in ten dimensions with the generalised gravitational Lagrangian Cosmology in ten dimensions with the generalised gravitational Lagrangian

Feb 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988cqgra...5..339g&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 5, Feb. 1, 1988, p. 339-351.

Mathematics

Logic

10

Cosmology, Gravitational Effects, Covariance, Differential Equations

Scientific paper

A cosmological model in ten dimensions is proposed, based on a double fibre bundle V4 x SU(2) x SU(2) leading to the Higgs potential and spontaneous symmetry breaking. The Lagrangian of the theory contains all the invariants of the ten-dimensional Riemann tensor up to the third, leading to the second-order differential equations. The static solutions of the system are obtained and discussed. The possibility of joining the four-dimensional Friedmann solutions from an unstable non-singular initial state through an inflationary stage is considered.

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