Brane $f(\mathcal{R})$ gravity

Abstract

We consider a brane world scenario in which the bulk action is assumed to have the form of a generic function of the Ricci scalar $f(\mathcal{R})$ and derive the resulting Einstein field equations on the brane. In a constant curvature bulk a conserved geometric quantity appears in the field equations which can be associated with matter. We present cosmological and spherically symmetric solutions by assuming specific forms for $f(\mathcal{R})$ and show that the former can explain an accelerated expanding universe while the latter may account for galaxy rotation curves.

8 pages, 2 figures, to appear in EPL

References in corpus (6)

• f(R)-Brane
• Brane-World Black Hole Solutions via a Confining Potential
• Accelerating universe in $f(\mathcal{R})$ brane gravity
• Accelerating universe in brane gravity with a confining potential
• Gauss-Bonnet brane gravity with a confining potential
• Gauss-Bonnet brane-world cosmology without $Z_2$-symmetry

Cited by in corpus (22)

• f(R) theories
• Further matters in space-time geometry: $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ gravity
• Galactic rotation curves in hybrid metric-Palatini gravity
• Weyl-Cartan-Weitzenböck gravity as a generalization of teleparallel gravity
• Spherically symmetric brane spacetime with bulk $f(\mathcal{R})$ gravity
• Spherically symmetric brane in a bulk of f(R) and Gauss-Bonnet Gravity
• Cosmological dynamics of brane f(R) gravity
• Excavating black hole continuum spectrum: Possible signatures of scalar hairs and of higher dimensions
• Effective gravitational equations for f(R) braneworld models
• Thick branes with inner structure in mimetic $f(R)$ gravity
• Solutions on a brane in a bulk spacetime with Kalb-Ramond field
• Brane-$f(R)$ gravity and dark matter
• Does black hole continuum spectrum signal f(R) gravity in higher dimensions?
• Tensor Perturbations and Thick Branes in Higher-dimensional $f(R)$ Gravity
• On the emergence of the $\mathbf{\Lambda }$CDM model from self-interacting Brans-Dicke theory in $\mathbf{d}=5$
• Brane cosmology in teleparallel and $f(T)$ gravity
• On Inflationary Models in f(R,T) Gravity with a Kinetic Coupling Term
• Metric factorizability and equivalence of brane world models with Brans-Dicke theory
• Effective cosmological equations of induced f(R) gravity
• Thick brane models in generalized mimetic gravity
• Cosmological dynamics with modified induced gravity on the normal DGP branch
• Dynamical heredity from f(R)-bulk to braneworld: curvature dynamical constraint and f(R)-unimodular gravity