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標(biāo)題: Titlebook: Ernst Equation and Riemann Surfaces; Analytical and Numer Christian Klein Book 2005 Springer-Verlag Berlin Heidelberg 2005 Einstein equatio [打印本頁]

作者: gratuity    時(shí)間: 2025-3-21 16:37
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作者: optional    時(shí)間: 2025-3-21 22:53
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.
作者: 飛行員    時(shí)間: 2025-3-22 00:48

作者: Kidnap    時(shí)間: 2025-3-22 05:09
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.
作者: Parallel    時(shí)間: 2025-3-22 12:46
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
作者: Acupressure    時(shí)間: 2025-3-22 14:18

作者: Acupressure    時(shí)間: 2025-3-22 21:08

作者: nocturnal    時(shí)間: 2025-3-22 21:23
,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.
作者: congenial    時(shí)間: 2025-3-23 03:40

作者: cinder    時(shí)間: 2025-3-23 08:37
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
作者: effrontery    時(shí)間: 2025-3-23 13:19
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
作者: 不能約    時(shí)間: 2025-3-23 17:06

作者: Exclude    時(shí)間: 2025-3-23 18:50
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
作者: Vertebra    時(shí)間: 2025-3-24 00:00
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
作者: 進(jìn)取心    時(shí)間: 2025-3-24 04:55
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
作者: 責(zé)任    時(shí)間: 2025-3-24 09:38

作者: 強(qiáng)化    時(shí)間: 2025-3-24 14:20
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
作者: 符合規(guī)定    時(shí)間: 2025-3-24 18:37
Lecture Notes in Physicshttp://image.papertrans.cn/e/image/314827.jpg
作者: Tartar    時(shí)間: 2025-3-24 21:06

作者: 1分開    時(shí)間: 2025-3-25 02:40

作者: 獸群    時(shí)間: 2025-3-25 04:53

作者: Dealing    時(shí)間: 2025-3-25 09:17
978-3-642-06677-1Springer-Verlag Berlin Heidelberg 2005
作者: 抵制    時(shí)間: 2025-3-25 12:54
Ernst Equation and Riemann Surfaces978-3-540-31513-1Series ISSN 0075-8450 Series E-ISSN 1616-6361
作者: 進(jìn)入    時(shí)間: 2025-3-25 18:34
A Three-Step Capital Allocation FrameworkThe solutions to the Ernst equation discussed in the previous chapters are given in terms of multi–dimensional theta functions. Though theta–functional solutions to integrable equations are known since the beginning of the seventies for equations like KdV, the work with these solutions admittedly has not reached the importance of solitons.
作者: transplantation    時(shí)間: 2025-3-25 20:56

作者: Ondines-curse    時(shí)間: 2025-3-26 02:22
0075-8450 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. .978-3-642-06677-1978-3-540-31513-1Series ISSN 0075-8450 Series E-ISSN 1616-6361
作者: STYX    時(shí)間: 2025-3-26 04:59
https://doi.org/10.1007/3-540-45267-2dimensional Euclidean space characterized by the harmonicity of 1/v-K whereK is the Gaussian curvature. In the case of constant negative Gaussian curvature, this leads e.g. to the pseudo-sphere which is a solution to the integrable sine–Gordon equation. If one studies Bianchi surfaces with non-const
作者: 腐敗    時(shí)間: 2025-3-26 11:51

作者: Immortal    時(shí)間: 2025-3-26 15:59
https://doi.org/10.1007/978-3-658-12025-2e disk. In the Newtonian limit e is approximately 0 whereas it tends to 1 inthe ultrarelativistic limit where the central redshift diverges. The limit of a single component disk is reached for γ = 1 (we will only consider positive values of γ), the staticlimit for γ = 0.
作者: Receive    時(shí)間: 2025-3-26 17:26
The Ernst Equation,dimensional Euclidean space characterized by the harmonicity of 1/v-K whereK is the Gaussian curvature. In the case of constant negative Gaussian curvature, this leads e.g. to the pseudo-sphere which is a solution to the integrable sine–Gordon equation. If one studies Bianchi surfaces with non-const
作者: 駕駛    時(shí)間: 2025-3-26 21:11
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
作者: 音樂會(huì)    時(shí)間: 2025-3-27 01:38

作者: linguistics    時(shí)間: 2025-3-27 08:43
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
作者: ANT    時(shí)間: 2025-3-27 11:11
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
作者: 搬運(yùn)工    時(shí)間: 2025-3-27 15:33
,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
作者: Suppository    時(shí)間: 2025-3-27 21:45

作者: 嫻熟    時(shí)間: 2025-3-28 00:18

作者: Agronomy    時(shí)間: 2025-3-28 04:28

作者: –吃    時(shí)間: 2025-3-28 08:57
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
作者: TAP    時(shí)間: 2025-3-28 11:52





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