000 | 03058nam a22004935i 4500 | ||
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_a9783540315131 _9978-3-540-31513-1 |
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024 | 7 |
_a10.1007/11540953 _2doi |
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_aPHU _2bicssc |
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_aPHU _2thema |
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_a530.15 _223 |
100 | 1 |
_aKlein, Christian. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aErnst Equation and Riemann Surfaces _h[electronic resource] : _bAnalytical and Numerical Methods / _cby Christian Klein. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2005. |
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300 |
_aX, 249 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aLecture Notes in Physics, _x0075-8450 ; _v685 |
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505 | 0 | _aIntroduction -- The Ernst Equation -- Riemann-Hilbert Problem and Fay's Identity -- Analyticity Properties and Limiting Cases -- Boundary Value Problems and Solutions -- Hyperelliptic Theta Functions and Spectral Methods -- Physical Properties -- Open Problems -- Riemann Surfaces and Theta Functions -- Ernst Equation and Twister Theory -- Index. | |
520 | _aExact 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. | ||
650 | 0 | _aMathematical physics. | |
650 | 0 | _aGlobal differential geometry. | |
650 | 1 | 4 |
_aMathematical Methods in Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19013 |
650 | 2 | 4 |
_aClassical and Quantum Gravitation, Relativity Theory. _0http://scigraph.springernature.com/things/product-market-codes/P19070 |
650 | 2 | 4 |
_aDifferential Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M21022 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783642066771 |
776 | 0 | 8 |
_iPrinted edition: _z9783540814948 |
776 | 0 | 8 |
_iPrinted edition: _z9783540285892 |
830 | 0 |
_aLecture Notes in Physics, _x0075-8450 ; _v685 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/11540953 |
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