Statistics – Computation
Scientific paper
Jan 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995phdt........29m&link_type=abstract
Thesis (PH.D.)--THE UNIVERSITY OF TEXAS AT AUSTIN, 1995.Source: Dissertation Abstracts International, Volume: 57-01, Section: B,
Statistics
Computation
6
Apparent Horizon, Superradiance
Scientific paper
This dissertation investigates finite difference techniques which are useful for solving radiative problems in spacetimes which contain a black hole. The singularities present in such spacetimes are avoided by excising the interior of the black hole from the computational domain. The boundary of the black hole is chosen at the apparent horizon. Spatial derivatives at this boundary are tipped so that they only reference points outside the black hole. Programs using this method are used to examine the interaction of a scalar field with a Schwarzschild black hole in spherical symmetry and with a Kerr black hole in three dimensions. The main spherically symmetric calculation looks at the scattering of ingoing packets of massless scalar field. Quasi-normal ringing and power-law tails are observed, along with interesting coordinate and nonlinear effects. Also examined is the stability of a static solution found by Bechmann and Lechtenfeld. This solution describes a static configuration of scalar field with potential outside a black hole. The three dimensional calculation looks at the scattering of packets of massless scalar field from a fixed Kerr background. The phenomenon of superradiance is examined. The programs used in this work were constructed using the new prototyping language RNPL. This language allows for the fairly simple construction and modification of programs to solve time-dependent partial differential equations. RNPL and its compiler are discussed near the end of this dissertation.
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