Horizons, hyperbolic systems, and inner boundary conditions in numerical relativity
Walker, Paul
This item is only available for download by members of the University of Illinois community. Students, faculty, and staff at the U of I may log in with your NetID and password to view the item. If you are trying to access an Illinois-restricted dissertation or thesis, you can request a copy through your library's Inter-Library Loan office or purchase a copy directly from ProQuest.
Permalink
https://hdl.handle.net/2142/30860
Description
Title
Horizons, hyperbolic systems, and inner boundary conditions in numerical relativity
Author(s)
Walker, Paul
Issue Date
1998
Doctoral Committee Chair(s)
Seidel, H.E.
Department of Study
Physics
Discipline
Physics
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
numerical relativity
black hole spacetimes
event horizons
Language
en
Abstract
"We discuss several closely connected open questions central to Numerical Relativity.
These involve computational, numerical, theoretical, and physical aspects of evolving
and understanding dynamical black hole spacetimes. We discuss finding and understanding the event horizon (EH), which is the causal boundary separating the black
hole interior from its exterior, in dynamical black hole spacetimes. In the EH studies, we formulate a set of tools for analyzing the behavior of the EH, including proposing a construction of the membrane paradigm suitable for numerical relativity. Moreover, we probe the geometry of the two black hole collision in detail, and investigate limits of the distortion of a single black hole EH interacting with a gravitational wave. We discuss both standard and hyperbolic formulations of the Einstein equations and how these are amenable to numerical treatment with modern parallel and
adaptive computational techniques. In the course of this discussion, we present a
three-dimensional implementation of the Bona-Massó hyperbolic system, and a three
dimensional code we call ""Cactus,"" which we apply to several spacetimes. Finally,
exploiting certain mathematical properties of the Bona-Massó system and the causal
structure of horizons, we discuss and compare several methods to implement a (preliminary) apparent horizon boundary condition for evolving black hole spacetimes
using the full three-dimensional Cactus code."
Use this login method if you
don't
have an
@illinois.edu
email address.
(Oops, I do have one)
IDEALS migrated to a new platform on June 23, 2022. If you created
your account prior to this date, you will have to reset your password
using the forgot-password link below.
