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- W4300605539 abstract "In this paper, we consider massive charged Dirac fields propagating in the exterior region of de Sitter-Reissner-Nordstrom black holes.We show that the parameters of such black holes are uniquely determined by the partial knowledge of the corresponding scattering operator $S(lambda)$ at a fixed energy $lambda$.More precisely, we consider the partial wave scattering operators $S(lambda,n)$ (here $lambda in mathbb{R}$ is the energy and $n in mathbb{N}^{star}$ denotes the angular momentum) defined as the restrictions of the full scattering operator on a well chosen basis of spin-weighted spherical harmonics.We prove that the knowledge of the scattering operators $S(lambda,n)$, for all $n in mathcal{L}$, where $mathcal{L}$ is a subset of $mathbb{N}^{star}$ that satisfies the Muntz condition $sum_{n in mathcal{L}} frac{1}{n} = + infty$, allows to recover the mass, the charge and the cosmological constant of a dS-RN black hole.The main tool consists in the complexification of the angular momentum $n$ and in studying the analytic properties of the unphysical corresponding data in the complex variable $z$." @default.
- W4300605539 created "2022-10-03" @default.
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- W4300605539 date "2015-04-10" @default.
- W4300605539 modified "2023-10-16" @default.
- W4300605539 title "Inverse scattering at fixed energy for massive charged Dirac fields in de Sitter-Reissner-Nordström black holes" @default.
- W4300605539 hasPublicationYear "2015" @default.
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