Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-12-29
Physics
High Energy Physics
High Energy Physics - Theory
23 pages, references added
Scientific paper
We find constant scalar curvature Type-N and Type-D solutions in all higher curvature gravity theories with actions of the form f(Ricci) that are built on the Ricci tensor, but not on its derivatives. In our construction, these generic higher derivative theories inherit some of the previously studied solutions of the cosmological topologically massive gravity and the new massive gravity (NMG) 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 NMG.
Gurses Metin
Sisman Tahsin Cagri
Tekin Bayram
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