Initial data for black hole evolutions

Details Initial data for black hole evolutions Initial data for black hole evolutions

2005-10-04

arxiv.org/abs/gr-qc/0510016v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Ph.D. thesis, Cornell University, 2003

Scientific paper

We discuss the initial value problem of general relativity in its recently unified Lagrangian and Hamiltonian pictures and present a multi-domain pseudo-spectral collocation method to solve the resulting coupled nonlinear partial differential equations. Using this code, we explore several approaches to construct initial data sets containing one or two black holes: We compute quasi-circular orbits for spinning equal mass black holes and unequal mass (nonspinning) black holes using the effective potential method with Bowen-York extrinsic curvature. We compare initial data sets resulting from different decompositions, and from different choices of the conformal metric with each other. Furthermore, we use the quasi-equilibrium method to construct initial data for single black holes and for binary black holes in quasi-circular orbits. We investigate these binary black hole data sets and examine the limits of large mass-ratio and wide separation. Finally, we propose a new method for constructing spacetimes with superposed gravitational waves of possibly very large amplitude.

Affiliated with

Also associated with

No associations

Rating

Initial data for black hole evolutions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Initial data for black hole evolutions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Initial data for black hole evolutions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-83239