Effective gravitational equations on brane world with induced gravity described by $f(R)$ term

Abstract

In this article we study a generalization of DGP scenarios, where the induced gravity is given by a $f(R)$ term. We obtain the effective gravitational equations and the effective FLRW cosmological equation on the brane of this model. We show that this generalization has also two regime, a 5D regime a low energies that has a self-accelerated branch of interest for cosmology and a 4D regime at high energies that it is described a modified gravitational theory.

8 pages, disscusion improved, version accepted by JCAP

References in corpus (22)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• The Einstein Equations on the 3-Brane World
• Accelerated Universe from Gravity Leaking to Extra Dimensions
• Brane-world gravity
• Nonperturbative Continuity in Graviton Mass versus Perturbative Discontinuity
• Metastable Gravitons and Infinite Volume Extra Dimensions
• Modified gravity and its reconstruction from the universe expansion history
• The Phenomenology of Dvali-Gabadadze-Porrati Cosmologies
• The Power of Brane-Induced Gravity
• Effective Gravitational Equations on Brane World with Induced Gravity
• A Note on Warped String Compactification
• Can f(R) Modified Gravity Theories Mimic a LCDM Cosmology?
• Gravitational Field Equations on and off a 3-Brane World
• A New Perspective on DGP Gravity
• Warm inflation in the DGP brane-world model
• Is brane cosmology predictable?
• DGP Cosmology with a Non-Minimally Coupled Scalar Field on the Brane
• Cargese Lectures on Brane Induced Gravity
• Curvature corrections in DGP brane cosmology
• Brane world cosmology with Gauss-Bonnet and induced gravity terms

Cited by in corpus (6)

• f(R) theories
• Gauss-Bonnet Braneworld Cosmology with Modified Induced Gravity on the Brane
• Effective cosmological equations of induced f(R) gravity
• On the cosmological viability of the Hu-Sawicki type modified induced gravity
• Cosmological dynamics with modified induced gravity on the normal DGP branch
• $\Lambda$CDM, $\Lambda$DGP and extended phantom-like cosmologies