Congruence Kinematics in Conformal Gravity

TL;DR

This paper analyzes the kinematic properties of time-like congruences in a specific vacuum solution of conformal gravity, using Raychaudhuri equations, and visualizes the flow dynamics for selected parameters.

Contribution

It provides a detailed calculation of Raychaudhuri kinematic quantities in conformal gravity's vacuum solution, offering new insights into flow behavior in this theoretical framework.

Findings

Kinematic quantities of congruences are explicitly calculated.

Flow patterns are visualized for specific parameter values.

Results enhance understanding of conformal gravity's geometric properties.

Abstract

In this paper we calculate the kinematical quantities of the Raychaudhuri equations, to characterize a congruence of time-like integral curves, according to the vacuum radial solution of Weyl theory of gravity. Also the corresponding flows are plotted for definite values of constants.