New code for equilibriums and quasiequilibrium initial data of compact objects. II. Convergence tests and comparisons of binary black hole initial data

Abstract

COCAL is a code for computing equilibriums or quasiequilibrium initial data of single or binary compact objects based on finite difference methods. We present the results of supplementary convergence tests of COCAL code using time symmetric binary black hole data (Brill-Lindquist solution). Then, we compare the initial data of binary black holes on the conformally flat spatial slice obtained from COCAL and KADATH, where KADATH is a library for solving a wide class of problems in theoretical physics including relativistic compact objects with spectral methods. Data calculated from the two codes converge nicely towards each other, for close as well as largely separated circular orbits of binary black holes. Finally, as an example, a sequence of equal mass binary black hole initial data with corotating spins is calculated and compared with data in the literature.

9 pages, PRD in press

References in corpus (7)

• Rotating Stars in Relativity
• Binary-black-hole initial data with nearly-extremal spins
• Circular orbits and spin in black-hole initial data
• Simulations of non-equal mass black hole binaries with spectral methods
• Waveless Approximation Theories of Gravity
• Black hole puncture initial data with realistic gravitational wave content
• Binary black hole circular orbits computed with COCAL

Cited by in corpus (16)

• Rotating Stars in Relativity
• Modeling differential rotations of compact stars in equilibriums
• The initial value problem as it relates to numerical relativity
• Equilibrium solutions of relativistic rotating stars with mixed poloidal and toroidal magnetic fields
• New code for equilibriums and quasiequilibrium initial data of compact objects. IV. Rotating relativistic stars with mixed poloidal and toroidal magnetic fields
• Gravitational geons in asymptotically anti-de Sitter spacetimes
• Horizon Surface Gravity in Corotating Black Hole Binaries
• Initial-data contribution to the error budget of gravitational waves from neutron-star binaries
• Uniformly rotating, axisymmetric and triaxial quark stars in general relativity
• Do triaxial supramassive compact stars exist?
• Complete initial value spacetimes containing black holes in general relativity: Application to black hole-disk systems
• Gravitational wave content and stability of uniformly, rotating, triaxial neutron stars in general relativity
• Equilibriums of extremely magnetized compact stars with force-free magnetotunnels
• Boundary conditions for stationary black holes ; Application to Kerr, Martinez-Troncoso-Zanelli and hairy black holes
• Methods for relativistic self-gravitating fluids: From binary neutron stars to black hole-disks and magnetized rotating neutron stars
• The Parallel Compact Object CALculator: An Efficient General Relativistic Initial Data Solver for Compact Objects