Existence and uniqueness of Bowen-York Trumpets

Abstract

We prove the existence of initial data sets which possess an asymptotically flat and an asymptotically cylindrical end. Such geometries are known as trumpets in the community of numerical relativists.

This corresponds to the published version in Class. Quantum Grav. 28 (2011) 245002

References in corpus (4)

• Wormholes and trumpets: the Schwarzschild spacetime for the moving-puncture generation
• Analytical Representation of a Black Hole Puncture Solution
• Trumpet-puncture initial data for black holes
• Extreme Bowen-York initial data

Cited by in corpus (6)

• Numerical simulations with a first order BSSN formulation of Einstein's field equations
• Proof of the area-angular momentum-charge inequality for axisymmetric black holes
• The Hamiltonian mass of asymptotically Schwarzschild-de Sitter space-times
• Hamiltonian dynamics in the space of asymptotically Kerr-de Sitter spacetimes
• Non-constant mean curvature trumpet solutions for the Einstein constraint equations
• Extremal black hole initial data deformations