Post-Newtonian Initial Data with Waves: Progress in Evolution

Abstract

In Kelly et al. [Phys. Rev. D, 76:024008, 2007], we presented new binary black-hole initial data adapted to puncture evolutions in numerical relativity. This data satisfies the constraint equations to 2.5 post-Newtonian order, and contains a transverse-traceless "wavy" metric contribution, violating the standard assumption of conformal flatness. We report on progress in evolving this data with a modern moving-puncture implementation of the BSSN equations in several numerical codes. We discuss the effect of the new metric terms on junk radiation and continuity of physical radiation extracted.

13 pages, 9 figures. Invited paper from Numerical Relativity and Data Analysis (NRDA) 2009, Albert Einstein Institute, Potsdam. Corrected to match published version.

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• The initial value problem as it relates to numerical relativity
• Puncture Initial Data for Black-Hole Binaries with High Spins and High Boosts
• Approximate black hole binary spacetime via asymptotic matching
• Exploring the Outer Limits of Numerical Relativity
• Alternatives to standard puncture initial data for binary black hole evolution
• Hybrid black-hole binary initial data
• Including realistic tidal deformations in binary black-hole initial data
• Parameter control for eccentric, precessing binary black hole simulations with SpEC
• Coping with Junk Radiation in Binary Black Hole Simulations
• Extending superposed harmonic initial data to higher spin
• Solving the Hamiltonian constraint for 1+log trumpets
• Fourth-post-Newtonian-exact approximation to General Relativity
• Evolution of circumbinary accretion disk around supermassive binary black hole: post-Newtonian hydrodynamics versus Newtonian hydrodynamics
• Inspiraling black-hole binary spacetimes: Challenges in transitioning from analytical to numerical techniques