COSMOLOGICAL SOLUTIONS WITH DILATON AND MAXIMALLY SYMMETRIC SPACE IN STRING THEORY

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Abstract
Time-dependent solutions of the leading-order string effective equations for a nonzero central charge deficit and curved maximally-symmetric space are studied. Some regular solutions are found for the case of nontrivial antisymmetric tensor and vector backgrounds (in various dimensions) and negative spatial curvature. It remains an open question which conformal theories are exact generalizations of these solutions. An analogy between the string cosmological solutions and the solutions of the standard first order renormalisation group equations interpolating between “static” conformal theories is discussed.

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