Kerr Initial data
arXiv:0805.4505 · doi:10.1088/0264-9381/25/20/205018
Abstract
Exploiting a 3+1 analysis of the Mars-Simon tensor, conditions on a vacuum initial data set ensuring that its development is isometric to a subset of the Kerr spacetime are found. These conditions are expressed in terms of the vanishing of a positive scalar function defined on the initial data hypersurface. Applications of this result are discussed.
23 pages, 1 figure. Minor typos corrected and remark 2 added. To appear in Classical and Quantum Gravity
References in corpus (17)
- 3+1 Formalism and Bases of Numerical Relativity
- xPerm: fast index canonicalization for tensor computer algebra
- Super-energy tensors
- KIDs are non-generic
- Uniqueness properties of the Kerr metric
- Dynamical laws of superenergy in General Relativity
- On the uniqueness of smooth, stationary black holes in vacuum
- Killing Initial Data
- A spacetime characterization of the Kerr metric
- Chiral phase transition in lattice QCD as a metal-insulator transition
- Angular momentum-mass inequality for axisymmetric black holes
- Initial data sets for the Schwarzschild spacetime
- A new geometric invariant on initial data for Einstein equations
- On marginally outer trapped surfaces in stationary and static spacetimes
- Killing spinor initial data sets
- On the Causal Propagation of Fields
- Symmetric hyperbolic systems for a large class of fields in arbitrary dimension
Cited by in corpus (9)
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- On the construction of a geometric invariant measuring the deviation from Kerr data
- Excised black hole spacetimes: quasi-local horizon formalism applied to the Kerr example
- Vacuum type D initial data
- A set of invariant quality factors measuring the deviation from the Kerr metric
- On the conservation of Superenergy and its applications
- Algorithmic characterization results for the Kerr-NUT-(A)dS space-time. II. KIDs for the Kerr-(A)(de Sitter) family