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

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Analyticity Properties and Limiting Cases,nvestigate interesting limiting cases as the limit of large distancefromthe material source. This allows to identify asymptotically .at solutions which can describe isolated matter sources. We also study the static limit and the ‘solitonic‚ limit, in which the Riemann surface degenerates. In this vi

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linguistics

Introduction, of a mechanical system is 2n–dimensional, n integralsof motion in involution are suffcient for a complete description of the dynamics of the system. In this case the initial conditions specify the integrals of motion and thus the complete time evolution of the system. The task is to find such a sys

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The Ernst Equation,ary 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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,Riemann–Hilbert Problem and Fay’s Identity, matrix-valued function Φ. The important point is that this matrix depends on a spectral parameter. The existence of such a linear system can be used to generate large classes of solutions to the corresponding integrable equation. The idea is to construct a matrix Φwith certain analyticity propertie

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Agronomy

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Open Problems,es. Physical and mathematical properties of the solutions havebeen studied analytically and numerically for in principle arbitrary genus of the solution. As an example we have presented the counter–rotating dust disk [130] which is given on a surface of genus 2, andwhich was obtained as the solution

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