On the Exact Solutions of the Regge-Wheeler Equation in the Schwarzschild Black Hole Interior
نویسنده
چکیده
We solve the Regge-Wheeler equation for axial perturbations of the Schwarzschild metric in the black hole interior in terms of Heun’s functions and give a description of the spectrum and the eigenfunctions of the interior problem. The phenomenon of attraction and repulsion of the discrete eigenvalues of gravitational waves is discovered.
منابع مشابه
Exact Solutions of Regge-Wheeler Equation
The Regge-Wheeler equation describes the axial perturbations of Schwarzschild metric in linear approximation. We present its exact solutions in terms of the confluent Heun’s functions, the basic properties of the general solution, novel analytical approach and numerical techniques for study of different boundary problems which correspond to quasi-normal modes of black holes and other simple mod...
متن کاملSome Exact Solutions of the Regge - Wheeler Equation in the Schwarzschild Black Hole Interior
We solve the Regge-Wheeler equation for axial perturbations of the Schwarzschild metric in the black hole interior in terms of Heun’s functions and give a description of the spectrum and the eigenfunctions of the interior problem. The phenomenon of attraction and repulsion of the discrete eigenvalues of gravitational waves is discovered.
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Recently, it has been shown that the wave equation for a scalar field on the exterior part of the Schwarzschild manifold satisfies local decay estimates useful for scattering theory and global existence [2]. The extension for the linearized Einstein equation is considered here. In 1957, Regge and Wheeler investigated spin 2 tensor fields on the Schwarzschild manifold [4]. They classified such f...
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Recently, it has been shown that the wave equation for a scalar field on the exterior part of the Schwarzschild manifold satisfies local decay estimates useful for scattering theory and global existence [2]. The extension for the linearized Einstein equation is considered here. In 1957, Regge and Wheeler investigated spin 2 tensor fields on the Schwarzschild manifold [4]. They classified such f...
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تاریخ انتشار 2006