Integrable scalar field multi-dimensional cosmologies

Details Integrable scalar field multi-dimensional cosmologies Integrable scalar field multi-dimensional cosmologies

Aug 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996cqgra..13.2163z&link_type=abstract

Classical and Quantum Gravity, Volume 13, Issue 8, pp. 2163-2178 (1996).

Mathematics

Logic

18

Scientific paper

Multi-dimensional cosmological models with spacetime consisting of 0264-9381/13/8/012/img1 Einstein spaces 0264-9381/13/8/012/img2 are investigated in the presence of 0264-9381/13/8/012/img3 non-interacting homogeneous minimally coupled scalar fields. An integrable class of models is found in the case of Ricci-flat factor-spaces 0264-9381/13/8/012/img2. These models are equivalent to an m-component perfect fluid with the equations of state 0264-9381/13/8/012/img5 0264-9381/13/8/012/img6 = constant). An explicit form of the scalar field potentials is found for special cases. Classical as well as quantum behaviour of the universe is investigated. Some of the solutions produce inflation from `nothing'. Classical Euclidean wormhole solutions are also found.

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