Godel-type metrics in various dimensions: II. Inclusion of a dilaton field

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2005-11-21

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Gurses, M
Sarıoğlu, Bahtiyar Özgür

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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.

Subject Keywords

Physics and Astronomy (miscellaneous)

URI

https://hdl.handle.net/11511/34409

Journal

CLASSICAL AND QUANTUM GRAVITY

DOI

https://doi.org/10.1088/0264-9381/22/22/004

Collections

Department of Physics, Article

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Citation Formats

M. Gurses and B. Ö. Sarıoğlu, “Godel-type metrics in various dimensions: II. Inclusion of a dilaton field,” CLASSICAL AND QUANTUM GRAVITY, pp. 4699–4713, 2005, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/34409.