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Perturbative aspects and conformal solutions of $F(R)$ gravity | | D. Bazeia
; B. Carneiro da Cunha
; R. Menezes
; A.Yu. Petrov
; | | Date: |
11 Jan 2007 | | Abstract: | We investigate perturbative aspects of gravity with a general $F(R)$ Lagrangean, 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 Lagrangean includes 1/R terms. For the second part, one is interested on exact solutions, in which the approach used is inspired in the first-order formalism recently used to solve models driven by real scalar field in cosmology and in braneworld scenarios. Explicit kink-like solutions of the Liouville type are found for the dilaton field for $F(R)$ having the explicit form $R+gamma R^n,$ in two and in four dimensions. | | Source: | arXiv, hep-th/0701106 | | Services: | Forum | Review | PDF | Favorites | |
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