Asymptotic stability of vacuum twisting type II metrics

DOI10.1063/1.3682273zbMath1274.83087arXiv1202.5157OpenAlexW2280553874MaRDI QIDQ2861710

Włodzimierz Natorf

Publication date: 11 November 2013

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

Full work available at URL: https://arxiv.org/abs/1202.5157

zbMATH Keywords

Bondi energyKerr metricasymptotic flatnessPetrov type II twistingRobinson-Trautman class

Mathematics Subject Classification ID

Black holes (83C57) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Exact solutions to problems in general relativity and gravitational theory (83C15) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Cites Work

• Lyapunov functional approach to radiative metrics
• Algebraically special, diverging vacuum and pure radiation fields revisited
• Singularities in the Kerr-Schild metrics
• Some spherical gravitational waves in general relativity
• Diverging type-D metrics
• Asymptotic flatness and algebraically special metrics
• Apparent horizons in vacuum Robinson-Trautman spacetimes