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arXiv · 2209.07441

Vaidya and generalized Vaidya solutions by gravitational decoupling

Vitalii Vertogradov·Maxim Misyura
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Abstract

In this paper we apply the gravitational decoupling method for dynamical systems in order to obtain a new type of solution which can describe a hairy dynamical black hole. We consider three cases of decoupling. The first one is the simplest and well-known when the mass function is the function only of space coordinate $r$. The second case is Vaidya spacetime case when the mass function depends on time $v$ . And the third case represents the generalization of these two cases: the mass function is the function of both $r$ and $v$. We also calculate the apparent horizon and singularity location for all three cases.

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Vitalii Vertogradov, Maxim Misyura. 2022-09-15. Vaidya and generalized Vaidya solutions by gravitational decoupling. https://doi.org/10.3390/universe8110567

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