Some exact solutions of all f(R-mu nu) theories in three dimensions

Date

2012-07-03

Author

GÜRSES, METİN
Sisman, Tahsin Cagri
Tekin, Bayram

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

We find constant scalar curvature Type-N and Type-D solutions in all higher curvature gravity theories with actions of the form f(R-mu nu) that are built on the Ricci tensor, but not on its derivatives. In our construction, these higher derivative theories inherit some of the previously studied solutions of the cosmological topologically massive gravity and the new massive gravity field equations, once the parameters of the theories are adjusted. Besides the generic higher curvature theory, we have considered in some detail the examples of the quadratic curvature theory, the cubic curvature theory, and the Born-Infeld extension of the new massive gravity.

URI

https://hdl.handle.net/11511/41002

Collections

Department of Physics, Article