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 (3)

• Metric-affine f(R) theories of gravity
• A no-go theorem for polytropic spheres in Palatini f(R) gravity
• Breakdown of the initial value formulation of scalar-tensor gravity and its physical meaning

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• Geodesic Deviation Equation in $f(T)$ gravity
• Generalized Energy-Momentum-Squared Gravity in the Palatini Formalism
• Kinematics of geodesic flows in stringy black hole backgrounds
• Geodesic deviation equation in Brans-Dicke theory in arbitrary dimensions
• The Raychaudhuri equation for spinning test particles
• Cosmic Acceleration and Geodesic Deviation in Chameleon Scalar Field Model
• An f(R) model for dark matter: rotation curves and gravitational lensing
• Cosmological Models in Modified f(R) Gravity Theories