Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-01-11
Phys.Lett.B649:445-453,2007
Physics
High Energy Physics
High Energy Physics - Theory
RevTeX4, 10 pages; Final version accepted to Phys. Lett. B
Scientific paper
10.1016/j.physletb.2007.04.040
We investigate perturbative aspects of gravity with a general F(R) Lagrangian, as well as nonperturbative dilatonic solutions. For the first part, we are interested in stability and the definition of asymptotic charges. The main result of this study is that, while generic F(R) theories are stable under metric perturbations, they are expected to show instabilities against curvature perturbations when the Lagrangian includes 1/R terms. For the second part, one is interested on exact solutions, and we explicitly construct kink-like solutions of the Liouville type for the dilaton field for F(R) having the form R+\gamma R^n, in two and in four dimensions.
Bazeia Dionisio
da Cunha Bruno Carneiro
Menezes Ronaldo
Petrov Aleksandr Yu.
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