Non-linearity of Vaidya spacetime and forces in the central naked singularity

The paper focuses on non-linear Vaidya spacetime, i. e., cases when the mass function has a non-linear form M(v) ≡ λvn , λ > 0, n > 1. We prove that the central naked singularity might form for values n > 1, however, under such conditions it will be gravitationally weak. The paper also dis...

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Bibliographic Details
Main Author: Виталий Дмитриевич Вертоградов
Format: Article
Language:English
Published: Herzen State Pedagogical University of Russia 2022-06-01
Series:Physics of Complex Systems
Subjects:
Online Access:https://www.physcomsys.ru/index.php/physcomsys/article/view/84
Description
Summary:The paper focuses on non-linear Vaidya spacetime, i. e., cases when the mass function has a non-linear form M(v) ≡ λvn , λ > 0, n > 1. We prove that the central naked singularity might form for values n > 1, however, under such conditions it will be gravitationally weak. The paper also disucsses forces in the naked singularity and proves that they might be finite only in the case of the gravitationally weak naked singularity. It also focuses on the strength of the singularity. We prove that the strong naked singularity might form only in the linear case. The singularity might also be gravitationally strong in the case of black hole formation.
ISSN:2687-153X