Progress in relativistic gravitational theory using the inverse scattering method

DOI10.1063/1.1590419zbMath1062.83048arXivgr-qc/0304086OpenAlexW2004286904MaRDI QIDQ4833066

Reinhard Meinel, Gernot Neugebauer

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0304086

Mathematics Subject Classification ID

Black holes (83C57) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items

Mathematical general relativity: A sampler, Relativistic dynamics of spherical timelike shells, Source Integrals of Asymptotic Multipole Moments, A continuous Riemann–Hilbert problem for colliding plane gravitational waves, The inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter in Einstein-Maxwell theory: study in terms of soliton methods, A uniqueness theorem for degenerate Kerr-Newman black holes, Non-existence of stationary two-black-hole configurations: the degenerate case, Mass and angular-momentum inequalities for axi-symmetric initial data sets I: Positivity of mass, On the balance problem for two rotating and charged black holes, On the black hole limit of rotating discs and rings, Two-body equilibrium configurations involving one extreme black hole: the electrovacuum case, The hyperbolic Ernst equation in a triangular domain, A Physical Derivation of the Kerr–Newman Black Hole Solution, Stationary two-black-hole configurations: A non-existence proof, Non-existence of stationary two-black-hole configurations, Schwarzschild and Kerr solutions of Einstein's field equation: An Introduction, Stationary Black-Hole Binaries: A Non-existence Proof, Stationary black holes: uniqueness and beyond

Cites Work

• Unnamed Item
• The inverse spectral method for colliding gravitational waves
• Conditions for Regularity on the Symmetry Axis in a Superposition of Two Kerr-NUT Solutions
• General Relativistic Gravitational Field of a Rigidly Rotating Disk of Dust: Solution in Terms of Ultraelliptic Functions
• Asymptotically flat solutions to the Ernst equation with reflection symmetry