Abstract
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.
Highlights
In recent decades, relativistic models with a scalar field have received much interest in cosmology because they are suitable for the inflationary scenario [1] and for tackling the dark energy problems [2,3]
It is known that dilaton gravity arises from a low-energy effective theory of string theory, from certain supergravity theories, and from higherdimensional theories with extra dimensions
In models based on such theories, scalar fields naturally appear with exponential potentials
Summary
Relativistic models with a scalar field have received much interest in cosmology because they are suitable for the inflationary scenario [1] and for tackling the dark energy problems [2,3]. Many authors have studied integrable models with exponential scalar potentials for cosmology and found various interesting ones; e.g., some models account for the transient acceleration of the universe [4–13]. In models based on such theories, scalar fields naturally appear with exponential potentials Such theories often contain totally antisymmetric tensor fields; the configuration on the extra space can play an important role. Some higherdimensional integrable cosmological models have been studied [19–21], and exact analytic solutions have been derived in some specific cases with fluxes in extra dimensions [22–29]. We consider analytically solvable models of D-dimensional cosmology with a scalar dilaton and antisymmetric tensor fields. Ea 1⁄4 σ a q2a , where qa and ta are integration constants
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