Some solutions of the Gauss-Bonnet gravity with scalar field in four dimensions
Date
2008
Authors
Gürses, M.
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
General Relativity and Gravitation
Print ISSN
0001-7701
Electronic ISSN
1572-9532
Publisher
Springer New York LLC
Volume
40
Issue
9
Pages
1825 - 1830
Language
English
Type
Journal Title
Journal ISSN
Volume Title
Series
Abstract
We give all exact solutions of the Einstein-Gauss-Bonnet Field Equations coupled with a scalar field in four dimensions under certain assumptions. The main assumption we make in this work is to take the second covariant derivative of the coupling function proportional to the spacetime metric tensor. Although this assumption simplifies the field equations considerably, to obtain exact solutions we assume also that the spacetime metric is conformally flat. Then we obtain a class of exact solutions. © 2007 Springer Science+Business Media, LLC.