The Dynamical Behaviour of Test Particles in a Quasi-Spherical Spacetime and the Physical Meaning of Superenergy

TL;DR

This paper investigates the motion of test particles near a quasi-spherical spacetime horizon, highlighting the role of superenergy in understanding gravitational effects beyond spherical symmetry.

Contribution

It introduces the physical significance of superenergy in analyzing test particle dynamics in Weyl spacetimes, extending the understanding of gravitational behavior near horizons.

Findings

Bifurcations in particle acceleration near horizons due to spacetime asymmetry

Superenergy's correlation with particle acceleration behavior

Insights into gravitational effects in non-spherical spacetimes

Abstract

We calculate the instantaneous proper radial acceleration of test particles (as measured by a locally defined Lorentzian observer) in a Weyl spacetime, close to the horizon. As expected from the Israel theorem, there appear some bifurcations with respect to the spherically symmetric case (Schwarzschild), which are explained in terms of the behaviour of the superenergy, bringing out the physical relevance of this quantity in the study of general relativistic systems.