Uniqueness properties of the Kerr metric

DOI10.1088/0264-9381/17/16/317zbMath0983.83004arXivgr-qc/0004018OpenAlexW1989683889MaRDI QIDQ4523568

Marc Mars

Publication date: 14 January 2001

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0004018

zbMATH Keywords

black holesgeneral relativityKerr metricNewman-Penrose equationsselfdual Weyl tensor

Mathematics Subject Classification ID

Black holes (83C57) Applications of global differential geometry to the sciences (53C80) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (24)

Type I vacuum solutions with aligned Papapetrou fields: An intrinsic characterization ⋮ Relative-observer definition of the Simon tensor ⋮ The conformal Killing spinor initial data equations ⋮ A geometric invariant characterising initial data for the Kerr-Newman spacetime ⋮ On the construction of a geometric invariant measuring the deviation from Kerr data ⋮ An ideal conformally covariant characterization of the Kerr conformal structure ⋮ On the rigidity of stationary charged black holes: small perturbations of the non-extremal Kerr-Newman family ⋮ On Local Characterization Results in Geometry and Gravitation ⋮ Analysis of a Bianchi-like equation satisfied by the Mars-Simon tensor ⋮ A set of invariant quality factors measuring the deviation from the Kerr metric ⋮ Algorithmic characterization results for the Kerr-NUT-(A)dS space-time. I. A space-time approach ⋮ Algorithmic characterization results for the Kerr-NUT-(A)dS space-time. II. KIDs for the Kerr-(A)(de Sitter) family ⋮ On the invariant symmetries of the D-metrics ⋮ The Petrov type D equation on genus \(>0\) sections of isolated horizons ⋮ New conserved currents for vacuum space-times in dimension four with a Killing vector ⋮ Quantifying closeness between black hole spacetimes: a superspace approach ⋮ An alternative to the Simon tensor ⋮ On the uniqueness of smooth, stationary black holes in vacuum ⋮ Killing spinor data on distorted black hole horizons and the uniqueness of stationary vacuum black holes ⋮ The ‘non-Kerrness’ of domains of outer communication of black holes and exteriors of stars ⋮ The Petrov type D isolated null surfaces ⋮ Schwarzschild and Kerr solutions of Einstein's field equation: An Introduction ⋮ Constructing “non-Kerrness” on compact domains ⋮ A spacetime characterization of the Kerr-NUT-(A)de Sitter and related metrics

This page was built for publication: Uniqueness properties of the Kerr metric