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Initial data for black hole evolutions

Harald Paul Pfeiffer
(
- Cornell U., Phys. Dept.
)

Oct, 2005

210 pages

Supervisor:

Saul A. Teukolsky

Thesis: PhD

Cornell U.

(2005)

e-Print:

gr-qc/0510016 [gr-qc]

Report number:

UMI-31-04429

View in:

ADS Abstract Service

reference search23 citations

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Abstract: (arXiv)

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.

Note:

Ph.D. Thesis (Advisor: Saul A. Teukolsky)

thesis
black hole
boundary condition
general relativity
orbit
binary
gravitational radiation
numerical calculations
bibliography

References(115)

Figures(0)

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