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Higher-dimensional models in gravitational theories of quartic Lagrangians
Author(s) -
K. Kleidis,
A. Kuiroukidis,
D. Papadopoulos,
H. Varvoglis
Publication year - 1997
Publication title -
journal of mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.708
H-Index - 119
eISSN - 1089-7658
pISSN - 0022-2488
DOI - 10.1063/1.532041
Subject(s) - physics , quartic function , curvature , gravitation , mathematical physics , metric expansion of space , classical mechanics , gravitational field , de sitter universe , de sitter space , einstein field equations , inflation (cosmology) , tensor (intrinsic definition) , universe , space (punctuation) , theoretical physics , cosmology , mathematics , dark energy , geometry , quantum mechanics , pure mathematics , linguistics , philosophy
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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