Constructing “non-Kerrness” on compact domains

DOI10.1063/1.3702569zbMath1279.83004arXiv1111.6019OpenAlexW3102173485MaRDI QIDQ2860733

Thomas Bäckdahl, Juan Antonio Valiente Kroon

Publication date: 20 November 2013

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

Full work available at URL: https://arxiv.org/abs/1111.6019

zbMATH Keywords

Dirichlet problemnumerical simulationcompact domainblack hole spacetimeKerr family

Mathematics Subject Classification ID

Black holes (83C57) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Exact solutions to problems in general relativity and gravitational theory (83C15) Computational methods for problems pertaining to relativity and gravitational theory (83-08) Boundary value problems for second-order elliptic systems (35J57)

Related Items

The conformal Killing spinor initial data equations ⋮ Closed conformal Killing–Yano initial data ⋮ How to Measure Deviation from the Kerr Initial Data: Recent Progress ⋮ A geometric invariant characterising initial data for the Kerr-Newman spacetime ⋮ A set of invariant quality factors measuring the deviation from the Kerr metric ⋮ New conserved currents for vacuum space-times in dimension four with a Killing vector ⋮ Schwarzschild and Kerr solutions of Einstein's field equation: An Introduction

Cites Work

• On the construction of a geometric invariant measuring the deviation from Kerr data
• On quadratic first integrals of the geodesic equations for type [22 spacetimes]
• Approximate twistors and positive mass
• The ‘non-Kerrness’ of domains of outer communication of black holes and exteriors of stars
• Remarks on strongly elliptic partial differential equations
• Uniqueness properties of the Kerr metric
• A spacetime characterization of the Kerr metric
• General Relativity