Conformal Killing initial data

DOI10.1063/1.5126683zbMath1435.83020arXiv1905.01231OpenAlexW3102978883MaRDI QIDQ5218768

Alfonso García-Parrado Gómez-Lobo, Igor Khavkine

Publication date: 5 March 2020

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

Full work available at URL: https://arxiv.org/abs/1905.01231

zbMATH Keywords

general relativityconformal Killing initial data

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (4)

\textit{pp}-wave initial data ⋮ The conformal Killing spinor initial data equations ⋮ Closed conformal Killing–Yano initial data ⋮ Well-posedness of the ambient metric equations and stability of even dimensional asymptotically de Sitter spacetimes

Uses Software

• Cadabra
• xPerm

Cites Work

• Killing initial data on spacelike conformal boundaries
• Conformally covariant systems of wave equations and their equivalence to Einstein's field equations
• On the construction of a geometric invariant measuring the deviation from Kerr data
• Cadabra: a field-theory motivated symbolic computer algebra system
• xPerm: fast index canonicalization for tensor computer algebra
• Cauchy problems for the conformal vacuum field equations in general relativity
• Integrability conditions for Killing spinors
• Wave equations on Lorentzian manifolds and quantization.
• Killing spinor initial data sets
• Homothetic and conformal symmetries of solutions to Einstein's equations
• KIDs are non-generic
• The conformal Killing spinor initial data equations
• Conformal wave equations for the Einstein-tracefree matter system
• Green-hyperbolic operators on globally hyperbolic spacetimes
• Black holes, hidden symmetries, and complete integrability
• Conformal symmetries of Einstein’s field equations and initial data
• The ‘non-Kerrness’ of domains of outer communication of black holes and exteriors of stars
• Spacetime symmetries and linearization stability of the Einstein equations. I
• On the evolution equations for Killing fields
• Spacetimes admitting Killing 2-spinors
• Symmetries of spacetime and their relation to initial value problems
• Killing initial data
• On the existence of Killing vector fields
• On the local extension of Killing vector-fields in Ricci flat manifolds
• Killing spinor data on distorted black hole horizons and the uniqueness of stationary vacuum black holes
• Critical phenomena in gravitational collapse
• Unnamed Item

This page was built for publication: Conformal Killing initial data