Exact solution of a Neumann boundary value problem for the stationary axisymmetric Einstein equations

DOI10.1007/s00332-018-9527-1zbMath1429.83012arXiv1810.02162OpenAlexW3103862676WikidataQ128663340 ScholiaQ128663340MaRDI QIDQ2327816

Jonatan Lenells, Long Pei

Publication date: 8 October 2019

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.02162

zbMATH Keywords

Riemann-Hilbert problemtheta functionboundary value problemEinstein equationsErnst equationFokas methodunified transform method

Mathematics Subject Classification ID

Exact solutions to problems in general relativity and gravitational theory (83C15) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15) Einstein equations (35Q76)

Related Items (2)

The hyperbolic Ernst–Maxwell equations in a triangular domain ⋮ Linearizable boundary value problems for the elliptic sine-Gordon and the elliptic Ernst equations

Cites Work

• Boundary value problems for the stationary axisymmetric Einstein equations: a disk rotating around a black hole
• Theta functions on Riemann surfaces
• Ernst equation and Riemann surfaces. Analytical and numerical methods
• Boundary-value problems for the stationary axisymmetric Einstein equations: a rotating disc
• A unified transform method for solving linear and certain nonlinear PDEs
• General Relativistic Gravitational Field of a Rigidly Rotating Disk of Dust: Solution in Terms of Ultraelliptic Functions
• Painleve analysis and particular solutions of a coupled nonlinear reaction diffusion system
• Relativistic Figures of Equilibrium
• Theta function solutions of the Schlesinger system and the Ernst equation
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