Higher-dimensional models in gravitational theories of quarticLagrangians

Details Higher-dimensional models in gravitational theories of quarticLagrangians Higher-dimensional models in gravitational theories of quarticLagrangians

1999-05-13

arxiv.org/abs/gr-qc/9905042v1

J.Math.Phys. 38 (1997) 3166

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeXfile, 22 pages

Scientific paper

10.1063/1.532041

Ten-dimensional models, arising from a gravitational action which includes terms up to the fourth order in curvature tensor, are discussed. The spacetime consists of one timelike dimension and two maximally symmetric subspaces, filled with matter in the form of an anisotropic fluid. Numerical integration of the cosmological field equations indicates that exponential, as well as power law, solutions are possible. We carry out a dynamical study of the results in the H_{ext} - H_{int} plane and confirm the existence of "attractors" in the evolution of the Universe. Those attracting points correspond to "extended De Sitter" spacetimes, in which the external space exhibits inflationary expansion, while the internal one contracts.

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