Astronomy and Astrophysics – Astrophysics
Scientific paper
Jan 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990phdt........90s&link_type=abstract
Thesis (PH.D.)--THE UNIVERSITY OF UTAH, 1990.Source: Dissertation Abstracts International, Volume: 51-07, Section: B, page: 342
Astronomy and Astrophysics
Astrophysics
Stars
Scientific paper
This dissertation consists of two articles that deal with the excitation of Schwartzschild quasinormal modes. Processes near the event horizon of a black hole excite a ringing of fields (electromagnetic, gravitational perturbation, etc.) at certain complex frequencies, called quasinormal (QN) frequencies, characteristic of the hole. The QN ringing of a black hole is of considerable interest in connection with laser interferometric gravitational -wave detectors. In the first article the theory of the excitation of ringing is formulated for perturbations to an existing black hole. Analytic continuation is shown to be necessary to deal with a formally divergent integral for the excitation coefficient. When analytic continuation and considerations of causality are taken into account, it is shown that the amplitude of QN ringing can be accurately predicted. In the second article features of an astrophysical collapse process that excite ringing are investigated with model collapse problems and with computer studies of a range collapse-type processes. We arrive at a simple semiempirical rule for excitation, which should produce adequate estimates of ringing strength from collapse situations in which the quadrupole formula is totally inapplicable.
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