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

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发表于 2025-3-21 16:37:11 | 显示全部楼层 |阅读模式
书目名称Ernst Equation and Riemann Surfaces
副标题Analytical and Numer
编辑Christian Klein
视频video
概述Examines 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
丛书名称Lecture Notes in Physics
图书封面Titlebook: Ernst Equation and Riemann Surfaces; Analytical and Numer Christian Klein Book 2005 Springer-Verlag Berlin Heidelberg 2005 Einstein equatio
描述.Exact solutions to Einstein`s equations have been useful for the understanding of general relativity in many respects. They have led to physical concepts as black holes and event horizons and helped to visualize interesting features of the theory. In addition they have been used to test the quality of various approximation methods and numerical codes. The most powerful solution generation methods are due to the theory of Integrable Systems. In the case of axisymmetric stationary spacetimes the Einstein equations are equivalent to the completely integrable Ernst equation. In this volume the solutions to the Ernst equation associated to Riemann surfaces are studied in detail and physical and mathematical aspects of this class are discussed both analytically and numerically. .
出版日期Book 2005
关键词Einstein equations; Ernst equation; Kerr metric; Relativity; ayxisymmetric; general relativity
版次1
doihttps://doi.org/10.1007/11540953
isbn_softcover978-3-642-06677-1
isbn_ebook978-3-540-31513-1Series ISSN 0075-8450 Series E-ISSN 1616-6361
issn_series 0075-8450
copyrightSpringer-Verlag Berlin Heidelberg 2005
The information of publication is updating

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发表于 2025-3-21 22:53:42 | 显示全部楼层
Modelli cosmologici relativistici,s with respect to the spectral parameter in a way that it solves the lineardi.erential system for a corresponding Ernst potential. This means that the theory of complex functions can be used to obtain rich classes of matrices Φ and thus of Ernst potentials.
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https://doi.org/10.1007/978-94-011-7408-4on. 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 to a boundary value problem. What remains unclear is how to solve general boundary value problems with these Riemann surface techniques.
发表于 2025-3-22 12:46:23 | 显示全部楼层
Book 2005epts as black holes and event horizons and helped to visualize interesting features of the theory. In addition they have been used to test the quality of various approximation methods and numerical codes. The most powerful solution generation methods are due to the theory of Integrable Systems. In t
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,Riemann–Hilbert Problem and Fay’s Identity,s with respect to the spectral parameter in a way that it solves the lineardi.erential system for a corresponding Ernst potential. This means that the theory of complex functions can be used to obtain rich classes of matrices Φ and thus of Ernst potentials.
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发表于 2025-3-23 08:37:54 | 显示全部楼层
https://doi.org/10.1007/978-0-387-71089-1 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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