Higher-dimensional puncture initial data

Abstract

We calculate puncture initial data, corresponding to single and binary black holes with linear momenta, which solve the constraint equations of D dimensional vacuum gravity. The data are generated by a modification of the pseudo-spectral code presented in arXiv:gr-qc/0404056 and made available as the TwoPunctures thorn inside the Cactus computational toolkit. As examples, we exhibit convergence plots, the violation of the Hamiltonian constraint as well as the initial data for D=4,5,6,7. These initial data are the starting point to perform high energy collisions of black holes in D dimensions.

11 pages, 3 figures; corrected typos, added one Table and other minor changes. matches published version in PRD

References in corpus (12)

• High-accuracy waveforms for binary black hole inspiral, merger, and ringdown
• Black Strings, Low Viscosity Fluids, and Violation of Cosmic Censorship
• Binary black-hole evolutions of excision and puncture data
• The high-energy collision of two black holes
• Cross section, final spin and zoom-whirl behavior in high-energy black hole collisions
• High-velocity collision of two black holes
• Numerical relativity for D dimensional space-times: head-on collisions of black holes and gravitational wave extraction
• Black Holes at the LHC
• Is super-Planckian physics visible? -- Scattering of black holes in 5 dimensions
• Head-on collisions of unequal mass black holes in D=5 dimensions
• Superkicks in ultrarelativistic encounters of spinning black holes
• Close-slow analysis for head-on collision of two black holes in higher dimensions: Bowen-York initial data

Cited by in corpus (15)

• Black holes, gravitational waves and fundamental physics: a roadmap
• Nonlinear interactions between black holes and Proca fields
• Exploring New Physics Frontiers Through Numerical Relativity
• The numerical relativity breakthrough for binary black holes
• Collisions of charged black holes
• NR/HEP: roadmap for the future
• Collisions of oppositely charged black holes
• Improved Moving Puncture Gauge Conditions for Compact Binary Evolutions
• The high-energy collision of black holes in higher dimensions
• Initial Conditions for Numerical Relativity -- Introduction to numerical methods for solving elliptic PDEs
• Lecture Notes: Numerical Relativity in higher dimensional spacetimes
• Gravitational wave extraction in higher dimensional numerical relativity using the Weyl tensor
• Numerical relativity in higher dimensions
• Orbiting black-hole binaries and apparent horizons in higher dimensions
• New frontiers in Numerical Relativity