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

Cited by in corpus (1)

• Kinematics of geodesic flows in stringy black hole backgrounds