Titlebook: Ernst Equation and Riemann Surfaces; Analytical and Numer Christian Klein Book 2005 Springer-Verlag Berlin Heidelberg 2005 Einstein equatio

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https://doi.org/10.1007/3-540-45267-2ary axisymmetric Einstein equations in vacuum. In fact the Ernst potential for the Kerr solution is just an algebraic function in suitable coordinates, see (1.8). In this chapter we study a dimensional reduction of the vacuum Einstein equations in the presence of two Killing vectors which will lead

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Le Fort-V. Guillermo,Budnevich L. Carlosurface of the spectral parameter, the physical coordinates were .xed in a way that they did not coincide with the singularities of the matrix of the linear system. In the present chapter we want to investigate the behavior of the found solutions in dependence of the physical coordinates, especially

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https://doi.org/10.1007/978-1-349-15071-7 rich classes of solutions which could describe the exterior gravitational .eld of stars and galaxies in thermodynamical equilibrium. In the present chapter we will use these methods to actually solve boundary value problems which are motivated by astrophysical models, in particular so-called dust d

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https://doi.org/10.1007/978-3-658-12025-2we gave an explicit solution on a Riemann surface of genus 2 in Theorem 5.16 where the two counter-rotating dust streams have constant angular velocity and constant relative density. In the present chapter we discuss the physical features of the class of hyperelliptic solutions (4.19) which are a su

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Christian KleinExamines in detail the solutions to the Ernst equation associated to Riemann surfaces.Physical and mathematical aspects of this class are discussed both analytically and numerically.This is the only b

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Lecture Notes in Physicshttp://image.papertrans.cn/e/image/314827.jpg

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