Geodesic Congruences in the Palatini f(R) Theory

Abstract

We shall investigate the properties of a congruence of geodesics in the framework of Palatini f(R) theories. We shall evaluate the modified geodesic deviation equation and the Raychaudhuri's equation and show that f(R) Palatini theories do not necessarily lead to attractive forces. Also we shall study energy condition for f(R) Palatini gravity via a perturbative analysis of the Raychaudhuri's equation.

References in corpus (13)

• Is Cosmic Speed-Up Due to New Gravitational Physics?
• f(R) Gravity and scalar-tensor theory
• 1/R Curvature Corrections as the Source of the Cosmological Acceleration
• Covariant conservation of energy momentum in modified gravities
• Metric-affine f(R) theories of gravity
• Consistent modified gravity: dark energy, acceleration and the absence of cosmic doomsday
• Cosmological Evolution in 1/R-Gravity Theory
• A no-go theorem for polytropic spheres in Palatini f(R) gravity
• Repulsive gravity in the very early Universe
• Attractive and Repulsive Gravity
• Strong Energy Condition in $R+R^2$ Gravity
• Palatini formulation of the $R^{-1}$modified gravity with an additionally squared scalar curvature term
• Breakdown of the initial value formulation of scalar-tensor gravity and its physical meaning

Cited by in corpus (24)

• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Wormholes and nonsingular space-times in Palatini $f(R)$ gravity
• Palatini formulation of modified gravity with a nonminimal curvature-matter coupling
• Role of Tilted Congruence and $f(R)$ Gravity on Regular Compact Objects
• Non-geodesic motion in $f(\mathcal{G})$ gravity with non-minimal coupling
• Covariant kinematics and gravitational bounce in Finsler space-times
• Palatini formulation of the conformally invariant $f\left(R,L_m\right)$ gravity theory
• Geodesic Deviation Equation in $f(T)$ gravity
• Generalized Energy-Momentum-Squared Gravity in the Palatini Formalism
• Cosmic Acceleration From Matter-Curvature Coupling
• Generalized Mattig's relation in Brans-Dicke-Rastall gravity
• Geodesic Deviation Equation in $f(R,T)$ Gravity
• Kinematics of geodesic flows in stringy black hole backgrounds
• On tidal forces in f(R) theories of gravity
• Geodesic Deviation Equation in f(R) Gravity
• Geodesic Deviation Equation in $\Lambda$CDM $f(T,\mathcal{T})$ gravity
• Geodesic congruences in quantum improved spacetimes
• Geodesic deviation equation in Brans-Dicke theory in arbitrary dimensions
• The Raychaudhuri equation for spinning test particles
• Speed of light in the extended gravity theories
• Cosmic Acceleration and Geodesic Deviation in Chameleon Scalar Field Model
• An f(R) model for dark matter: rotation curves and gravitational lensing
• Focusing of world-lines in Weyl gravity
• Cosmological Models in Modified f(R) Gravity Theories