Perturbative aspects and conformal solutions of F(R) gravity

Abstract

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+γR^n, in two and in four dimensions.

RevTeX4, 10 pages; Final version accepted to Phys. Lett. B

References in corpus (4)

• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• Conditions for the cosmological viability of f(R) dark energy models
• Are f(R) dark energy models cosmologically viable ?
• First-order formalism for bent brane

Cited by in corpus (26)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Extreme neutron stars from Extended Theories of Gravity
• Collapsing spherical stars in f(R) gravity
• Cosmological Constraints on f(R) Acceleration Models
• Density perturbations in f(R) gravity theories in metric and Palatini formalisms
• On the Stability of a class of Modified Gravitational Models
• Noether Symmetry Approach in Gauss-Bonnet Cosmology
• f(R)-Brane
• The Cosmology of Ricci-Tensor-Squared Gravity in the Palatini Variational Approach
• Power-law cosmic expansion in f(R) gravity models
• On the co-existence of matter dominated and accelerating solutions in f(G)-gravity
• Dynamics of f(R)-cosmologies containing Einstein static models
• Vacuum structure for scalar cosmological perturbations in Modified Gravity Models
• Einstein static universes are unstable in generic f(R) models
• Accelerating Universe in Modified Theories of Gravity
• Dynamical systems analysis of anisotropic cosmologies in $R^n$-gravity
• F(R) gravity's rainbow and its Einstein counterpart
• Anisotropic stars in modified gravity: An extended gravitational decoupling approach
• Compactifying the state space for alternative theories of gravity
• Homogeneous cosmologies in generalized modified gravity
• Tracing the cosmic history by Gauss-Bonnet gravity
• Tensor perturbations of Palatini $f(\mathcal{R})$-branes
• Liouville-like solutions in dilaton gravity with Gauss-Bonnet modifications
• Unimodular $f(G)$ gravity
• The Equivalence and/or the Effacing principle in $f\left(R\right)$ theories of gravity