The Yamabe invariant for axially symmetric two Kerr black holes initial data
arXiv:0805.2754 · doi:10.1088/0264-9381/25/22/225002
Abstract
An explicit 3-dimensional Riemannian metric is constructed which can be interpreted as the (conformal) sum of two Kerr black holes with aligned angular momentum. When the separation distance between them is large we prove that this metric has positive Ricci scalar and hence positive Yamabe invariant. This metric can be used to construct axially symmetric initial data for two Kerr black holes with large angular momentum.
arXiv comment14 pages, 2 figures
References in corpus (16)
- Evolution of Binary Black Hole Spacetimes
- Accurate Evolutions of Orbiting Black-Hole Binaries Without Excision
- Gravitational wave extraction from an inspiraling configuration of merging black holes
- Large Merger Recoils and Spin Flips From Generic Black-Hole Binaries
- Supermassive recoil velocities for binary black-hole mergers with antialigned spins
- Recoil Velocities from Equal-Mass Binary-Black-Hole Mergers
- Gravitational recoil from spinning binary black hole mergers
- Exploring black hole superkicks
- Einstein Constraints on Asymptotically Euclidean Manifolds
- Extra-Large Remnant Recoil Velocities and Spins from Near-Extremal-Bowen-York-Spin Black-Hole Binaries
- Initial data for two Kerr-like black holes
- Beyond the Bowen-York extrinsic curvature for spinning black holes
- Initial data for a head on collision of two Kerr-like black holes with close limit
- Proof of the (local) angular momemtum-mass inequality for axisymmetric black holes
- A variational principle for stationary, axisymmetric solutions of Einstein's equations
- The Constraint Equations