Kerr-Schild symmetries

DOI10.1023/A:1010265830882zbMath0982.83015arXivgr-qc/0006044MaRDI QIDQ5944102

Bartolomé Coll, José M. M. Senovilla, Sergi R. Hildebrandt

Publication date: 15 April 2002

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0006044

zbMATH Keywords

Kerr-Schild symmetriesspace-time transformation

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Applications of global differential geometry to the sciences (53C80) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20)

Related Items (14)

Structure of second-order symmetric Lorentzian manifolds ⋮ Ricci bi-conformal vector fields on homogeneous Gödel-type spacetimes ⋮ Classification of Petrov type D generalized Kerr-Schild transformations ⋮ I -preserving diffeomorphisms of Lorentzian manifolds ⋮ Differential invariants of Kundt spacetimes ⋮ TRAPPED SURFACES ⋮ Bi-conformal vector fields and the local geometric characterization of conformally separable pseudo-Riemannian manifolds. I. ⋮ Gravitational lensing beyond geometric optics. II: Metric independence ⋮ Nil-Killing vector fields and type III deformations ⋮ Kerr-Schild perturbations of coset CFTs as scale invariant integrable \(\sigma\)-models ⋮ Note on trapped surfaces in the Vaidya solution ⋮ Kerr-Schild metrics and gravitational radiation ⋮ A physical application of Kerr-Schild groups ⋮ Deformations of three-dimensional metrics

Cites Work

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• Generalised Kerr-Schild space-times
• Conformal groups and conformally equivalent isometry groups
• Newman-Penrose approach to twisting degenerate metrics
• Exact vacuum solutions of Einstein’s equation from linearized solutions
• Petrov type D perfect-fluid solutions in generalized Kerr–Schild form
• On generalized Kerr–Schild transformations
• Gravitational Field of a Spinning Mass as an Example of Algebraically Special Metrics
• Kerr–Schild gravitational fields in matter and the Kerr-interior problem in general relativity
• Curvature Collineations: A Fundamental Symmetry Property of the Space-Times of General Relativity Defined by the Vanishing Lie Derivative of the Riemann Curvature Tensor

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