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The dimensional reduction of eleven dimensional supergravity into a product of Robertson-Walker spacetime and the seven sphere

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Abstract

The dimensional reduction of eleven dimensional supergravity is discussed. It is shown that there is no dimensional reduction onto Robertson-Walker space with the asymmetric tensorF giving a realistic fluid. Furthermore it is shown that the ansatz’s for the scale factorR:R=at n, R=a exp (bt n), andR=aZ n, there is no dimensional reduction except the known example of the Freund-Rubin-Englert solution.

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Roberts, M.D. The dimensional reduction of eleven dimensional supergravity into a product of Robertson-Walker spacetime and the seven sphere. Pramana - J Phys 36, 245–252 (1991). https://doi.org/10.1007/BF02846546

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  • DOI: https://doi.org/10.1007/BF02846546

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