The Negative Energy in Generalized Vaidya Spacetime

TL;DR

This paper investigates the occurrence and behavior of negative energy particles in generalized Vaidya spacetime, especially in models leading to naked singularities, analyzing geodesics under specific matter conditions.

Contribution

It explores negative energy phenomena in generalized Vaidya spacetime with naked singularities, focusing on geodesic behavior for particles with negative energy under linear matter equations of state.

Findings

Negative energy particles can follow specific geodesics in these models.

Naked singularities influence the trajectories of negative energy particles.

The matter field's equation of state affects the negative energy particle dynamics.

Abstract

In this paper we consider the negative energy problem in generalized Vaidya spacetime. We consider several models when we have the naked singularity as a result of the gravitational collapse. In these models we investigate the geodesics for particles with negative energy when the II type of the matter field satisfies the equation of the state $P=\alpha \rho$ ($\alpha \in [0\,, 1]$).