Non-linearity of Vaidya spacetime and forces in the central naked singularity
DOI:
https://doi.org/10.33910/2687-153X-2022-3-2-81-85Keywords:
Vaidya spacetime, naked singularity, strength of singularity, inertial forces, geodesics, gravitational collapseAbstract
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.
References
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