Integrable higher-dimensional cosmology with separable variables in an Einstein-dilaton-antisymmetric field theory

摘要

We consider a D -dimensional cosmological model with a dilaton field and two ( D ? d ? 1 )-form field strengths which have nonvanishing fluxes in extra dimensions. Exact solutions for the model with a certain set of couplings are obtained by separation of three variables. Some of the solutions describe accelerating expansion of the d -dimensional space. Quantum cosmological aspects of the model are also briefly mentioned.