论文标题

Vaidya时空的非线性和中央裸体的力

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

论文作者

Vertogradov, Vitalii

论文摘要

在本文中,我们考虑了非线性vaidya spacetime,即质量函数具有非线性形式$ m(v)\equivλv^n \ ,,λ> 0 \,n> 1 $的情况。我们证明,中央裸体奇异性可能会构成值$ n> 1 $的值,但重力较弱。我们还调查了关于裸奇异力量力量的问题,并证明仅在重力弱裸奇异的情况下,它们可能是有限的。

In this paper we consider non-linear Vaidya spacetime i.e. the case when the mass function has the non-linear form $M(v) \equiv λv^n \,, λ>0 \,, n>1 $. We prove that the central naked singularity might form for values $n>1$ but they are gravitationally weak. Also we investigate the question about forces in the naked singularity and prove that they might be finite only in the case of the gravitationally weak naked singularity.

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