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Godel-type Metrics in Various Dimensions II: Inclusion of a Dilaton Field

Metin Gurses·Ozgur Sarioglu
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Abstract

This is the continuation of an earlier work where Godel-type metrics were defined and used for producing new solutions in various dimensions. Here a simplifying technical assumption is relaxed which, among other things, basically amounts to introducing a dilaton field to the models considered. It is explicitly shown that the conformally transformed Godel-type metrics can be used in solving a rather general class of Einstein-Maxwell-dilaton-3-form field theories in D >= 6 dimensions. All field equations can be reduced to a simple "Maxwell equation" in the relevant (D-1)-dimensional Riemannian background due to a neat construction that relates the matter fields. These tools are then used in obtaining exact solutions to the bosonic parts of various supergravity theories. It is shown that there is a wide range of suitable backgrounds that can be used in producing solutions. For the specific case of (D-1)-dimensional trivially flat Riemannian backgrounds, the D-dimensional generalizations of the well known Majumdar-Papapetrou metrics of general relativity arise naturally.

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Metin Gurses, Ozgur Sarioglu. 2005-09-11. Godel-type Metrics in Various Dimensions II: Inclusion of a Dilaton Field. https://doi.org/10.1088/0264-9381%2F22%2F22%2F004

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