Cosmological solutions in multidimensional model with multiple exponential potential

Details Cosmological solutions in multidimensional model with multiple exponential potential Cosmological solutions in multidimensional model with multiple exponential potential

2003-08-18

arxiv.org/abs/hep-th/0308113v2

JHEP 0309 (2003) 059

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 1 figure

Scientific paper

10.1088/1126-6708/2003/09/059

A family of cosmological solutions with $(n+1)$ Ricci-flat spaces in the theory with several scalar fields and multiple exponential potential is obtained when coupling vectors in exponents obey certain relations. Two subclasses of solutions with power-law and exponential behaviour of scale factors are singled out. It is proved that power-law solutions may take place only when coupling vectors are linearly independent and exponential dependence occurs for linearly dependent set of coupling vectors. A subfamily of solutions with accelerated expansion is singled out. A generalized isotropization behaviours of certain classes of general solutions are found. In quantum case exact solutions to Wheeler-DeWitt equation are obtained and special "ground state" wave functions are considered.

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