Conformally flat black hole initial data, with one cylindrical end

Abstract

We give a complete analytical proof of existence and uniqueness of extreme-like black hole initial data for Einstein equations, which possess a cilindrical end, analogous to extreme Kerr, extreme Reissner Nordstrom, and extreme Bowen-York's initial data. This extends and refines a previous result \cite{dain-gabach09} to a general case of conformally flat, maximal initial data with angular momentum, linear momentum and matter.

Minor changes and formula (21) revised according to the published version in Class. Quantum Grav. (2010). Results unchanged

References in corpus (5)

• Binary-black-hole initial data with nearly-extremal spins
• Wormholes and trumpets: the Schwarzschild spacetime for the moving-puncture generation
• Extra-Large Remnant Recoil Velocities and Spins from Near-Extremal-Bowen-York-Spin Black-Hole Binaries
• Trumpet-puncture initial data for black holes
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Cited by in corpus (7)

• Simulations of rotating neutron star collapse with the puncture gauge: end state and gravitational waveforms
• Extreme throat initial data set and horizon area--angular momentum inequality for axisymmetric black holes
• The Hamiltonian mass of asymptotically Schwarzschild-de Sitter space-times
• Trumpet Slices in Kerr Spacetimes
• Horizon area--angular momentum inequality for a class of axially symmetric black holes
• Hamiltonian dynamics in the space of asymptotically Kerr-de Sitter spacetimes
• Small deformations of extreme Kerr black hole initial data