arXiv subjects

Vitalii Vertogradov

Publications and source records attributed to Vitalii Vertogradov.

39 records · Page 3Linked to original sources

arXiv2022

Geodesics for particles with negative energy in Kerr's metric

According to Penrose effect, particles with negative energy can exist in the ergospheres of rotating black holes. We analyze geodesics for such particles and show that there are no circular and elliptic orbits in the ergosphere of a rotating black hole. We also show that there are geodesics which begin and terminate at the singularity and present the conditions under which such geodesics do not begin and terminate at the singularity.

gr-qc↗

arXiv2022

The Negative Energy in Generalized Vaidya Spacetime

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 $P=αρ$ ($α\in [0\,, 1]$).

gr-qc↗

arXiv2021

Causal Structure of Singularity in non-spherical Gravitational Collapse

We investigate here the final state of gravitational collapse of a non-spherical and non-marginally bound dust cloud as modeled by the Szekeres spacetime. We show that a directionally globally naked singularity can be formed in this case near the collapsing cloud boundary, and not at its geometric center as is typically the case for a spherical gravitational collapse. This is a strong curvature naked singularity in the sense of Tipler criterion on gravitational strength. The null geodesics escaping from the singularity would be less scattered in this case in certain directions since the singularity is close to the boundary of the cloud as is the case in the current scenario. The physical implications are pointed out.

gr-qc↗