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Five-dimensional solutions for the modified Einstein-Hilbert lagrangian

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Abstract

We find five-dimensional solutions to the equations of motion developed by Henriques. These equations are associated with the Einstein-Hubert lagrangian as modified in order to model the low-energy limit of some superstring theories. We look at extensions of both Friedmann-Robertson-Walker and Kasner models and find a large variety of behavior for both vacuum and matter-filled cases. In the case of the Kasner extension we find that the generalized Einstein equations do not admit analytic power-law solutions.

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Authors and Affiliations

  1. Department of Mathematics and Physics, Philadelphia College of Pharmacy and Science, 600 S. 43rd St., 19104, Philadelphia, Pennsylvania, USA

    Paul Halpern & David Kerrick

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  1. Paul Halpern
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  2. David Kerrick
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Halpern, P., Kerrick, D. Five-dimensional solutions for the modified Einstein-Hilbert lagrangian. Gen Relat Gravit 25, 41–53 (1993). https://doi.org/10.1007/BF00756928

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  • DOI: https://doi.org/10.1007/BF00756928

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