Black hole initial data from a non-conformal decomposition

Abstract

We present an alternative approach to setting initial data in general relativity. We do not use a conformal decomposition, but instead express the 3-metric in terms of a given unit vector field and one unknown scalar field. In the case of axisymmetry, we have written a program to solve the resulting nonlinear elliptic equation. We have obtained solutions, both numerically and from a linearized analytic method, for a general perturbation of Schwarzschild.

6 pages, 4 figures

References in corpus (3)

• Comparing initial-data sets for binary black holes
• Physics and Initial Data for Multiple Black Hole Spacetimes
• Kerr-Schild type initial data for black holes with angular momenta

Cited by in corpus (5)

• Conservative self-force correction to the innermost stable circular orbit: comparison with multiple post-Newtonian-based methods
• Asymptotically flat vacuum initial data sets from a modified parabolic-hyperbolic formulation of the Einstein vacuum constraint equations
• Numerical construction of initial data sets of binary black hole type using a parabolic-hyperbolic formulation of the vacuum constraint equations
• Asymptotically hyperboloidal initial data sets from a parabolic-hyperbolic formulation of the Einstein vacuum constraints
• Is it possible to construct asymptotically flat initial data using the evolutionary forms of the constraints?