Geodesic Structure of the Schwarzschild Black Hole in Rainbow Gravity

TL;DR

This paper investigates how rainbow gravity modifies the geodesic paths around Schwarzschild black holes, revealing that while the overall structure remains similar, observer-dependent effects lead to different perceptions of particle motion.

Contribution

It provides a detailed analysis of null and time-like geodesics in rainbow gravity, highlighting observer-dependent differences in particle trajectories around Schwarzschild black holes.

Findings

Geodesic structure remains largely unchanged with semi-classical effects.

Rainbow gravity causes observer-dependent differences in particle motion.

Distinct scenarios emerge based on the choice of rainbow functions.

Abstract

In this paper we study the geodesic structure of the Schwarzschild black hole in rainbow gravity analyzing the behavior of null and time-like geodesic. We find that the structure of the geodesics essentially does not change when the semi-classical effects are included. However, we can distinguish different scenarios if we take into account the effects of rainbow gravity. Depending on the type of rainbow functions under consideration, inertial and external observers see very different situations in radial and non radial motion of a test particles.