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Computing and analyzing gravitationa...

Dorband, Ernst Nils.

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Computing and analyzing gravitational radiation in black hole simulations using a new multi-block approach to numerical relativity.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Computing and analyzing gravitational radiation in black hole simulations using a new multi-block approach to numerical relativity./
Author:	Dorband, Ernst Nils.
Description:	176 p.
Notes:	Adviser: Manuel Tiglio.
Contained By:	Dissertation Abstracts International68-03B.
Subject:	Physics, Astronomy and Astrophysics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3256317

Computing and analyzing gravitational radiation in black hole simulations using a new multi-block approach to numerical relativity.
Dorband, Ernst Nils.

Computing and analyzing gravitational radiation in black hole simulations using a new multi-block approach to numerical relativity. - 176 p.

Adviser: Manuel Tiglio.

Thesis (Ph.D.)--Louisiana State University and Agricultural & Mechanical College, 2007.

Numerical simulations of Kerr black holes are presented and the excitation of quasinormal modes is studied in detail. Issues concerning the extraction of gravitational waves from numerical space-times and analyzing them in a systematic way are discussed.Subjects--Topical Terms:

1019521
Physics, Astronomy and Astrophysics.

Computing and analyzing gravitational radiation in black hole simulations using a new multi-block approach to numerical relativity.
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035 $a (UMI)AAI3256317
035 $a AAI3256317
040 $a UMI $c UMI
100 1 $a Dorband, Ernst Nils. $3 1266190
245 1 0 $a Computing and analyzing gravitational radiation in black hole simulations using a new multi-block approach to numerical relativity.
300 $a 176 p.
500 $a Adviser: Manuel Tiglio.
500 $a Source: Dissertation Abstracts International, Volume: 68-03, Section: B, page: 1679.
502 $a Thesis (Ph.D.)--Louisiana State University and Agricultural & Mechanical College, 2007.
520 $a Numerical simulations of Kerr black holes are presented and the excitation of quasinormal modes is studied in detail. Issues concerning the extraction of gravitational waves from numerical space-times and analyzing them in a systematic way are discussed.
520 $a A new multi-block infrastructure for solving first order symmetric hyperbolic time dependent partial differential equations is developed and implemented in a way that stability is guaranteed for arbitrary high order accurate numerical schemes. Multi-block methods make use of several coordinate patches to cover a computational domain. This provides efficient, flexible and very accurate numerical schemes.
520 $a Using this code, three dimensional simulations of perturbed Kerr black holes are carried out. While the quasinormal frequencies for such sources are well known, until now little attention has been payed to the relative excitation strength of different modes. If an actual perturbed Kerr black hole emits two distinct quasinormal modes that are strong enough to be detected by gravitational wave observatories, these two modes can be used to test the Kerr nature of the source. This would provide a strong test of the so called no hair theorem of general relativity. A systematic method for analyzing ringdown waveforms is proposed. The so called time shift problem, an ambiguity in the definition of excitation amplitudes, is identified and it is shown that this problem can be avoided by looking at appropriately chosen relative mode amplitudes. Rotational mode coupling, the relative excitation strength of co- and counter rotating modes and overtones for slowly and rapidly spinning Kerr black holes are studied.
520 $a A method for extracting waves from numerical space-times which generalizes one of the standard methods based on the Regge-Wheeler-Zerilli perturbation formalism is presented. Applying this to evolutions of single perturbed Schwarzschild black holes, the accuracy of the new method is compared to the standard approach and it is found that the errors resulting from the former are one to several orders of magnitude below the ones from the latter. It is demonstrated that even at large extraction radii (r = 80M), the standard extraction approach produces errors that are dominantly of systematic nature and not due to numerical inaccuracies.
590 $a School code: 0107.
650 4 $a Physics, Astronomy and Astrophysics. $3 1019521
650 4 $a Physics, Theory. $3 1019422
690 $a 0606
690 $a 0753
710 2 $a Louisiana State University and Agricultural & Mechanical College. $3 783779
773 0 $t Dissertation Abstracts International $g 68-03B.
790 $a 0107
790 1 0 $a Tiglio, Manuel, $e advisor
791 $a Ph.D.
792 $a 2007
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3256317