Equilibrium configuration of black holes and the inverse scattering method

DOI10.1007/BF02634055zbMath0978.83506arXivgr-qc/0004073MaRDI QIDQ1294867

G. G. Varzugin

Publication date: 6 February 2002

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0004073

zbMATH Keywords

equilibrium configurationEinstein equationsblack holesboundary probleminverse scattering methodangular velocitiesangular momentaaxially symmetric stationary solutionBelinskij-Zakharov solutions

Mathematics Subject Classification ID

Black holes (83C57) Inverse scattering problems in quantum theory (81U40) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) PDEs in connection with relativity and gravitational theory (35Q75)

Related Items (5)

Stationary two-black-hole configurations: A non-existence proof ⋮ Nonlinear \(\sigma\)-model in a curved space, gauge equivalence, and exact solutions of \((2+0)\)-dimensional integrable equations ⋮ The interaction force between rotating black holes at equilibrium ⋮ Stationary Black-Hole Binaries: A Non-existence Proof ⋮ Stationary black holes: uniqueness and beyond

Cites Work

• Nonexistence of axially symmetric, stationary solution of Einstein vacuum equation with disconnected symmetric event horizon
• On rotating black holes in equilibrium in general relativity
• The stationary axisymmetric two-body problem in general relativity
• On the Force Between Rotating Coaxial Black Holes

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