Citation
Chu, Tony (2012) Numerical Simulations of BlackHole Spacetimes. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/MKD21N95. http://resolver.caltech.edu/CaltechTHESIS:07292011012517485
Abstract
This thesis covers various aspects of the numerical simulation of blackhole spacetimes according to Einstein's general theory of relativity, using the Spectral Einstein Code developed by the CaltechCornellCITA collaboration. The first topic is improvement of binaryblackhole initial data. One such issue is the construction of binaryblackhole initial data with nearly extremal spins that remain nearly constant during the initial relaxation in an evolution. Another concern is the inclusion of physically realistic tidal deformations of the black holes to reduce the highfrequency components of the spurious gravitational radiation content, and represents a first step in incorporating postNewtonian results in constraintsatisfying initial data. The next topic is the evolution of blackhole binaries and the gravitational waves they emit. The first spectral simulation of two inspiralling black holes through merger and ringdown is presented, in which the black holes are nonspinning and have equal masses. This work is extended to perform the first spectral simulations of two inspiralling black holes with moderate spins and equal masses, including the merger and ringdown. Two configurations are considered, in which both spins are either antialigned or aligned with the orbital angular momentum. Highly accurate gravitational waveforms are computed for all these cases, and are used to calibrate waveforms in the effectiveonebody model. The final topic is the behavior of quasilocal blackhole horizons in highly dynamical situations. Simulations of a rotating black hole that is distorted by a pulse of ingoing gravitational radiation are performed. Multiple marginally outer trapped surfaces are seen to appear and annihilate with each other during the evolution, and the world tubes they trace out are all dynamical horizons. The dynamical horizon and angular momentum flux laws are evaluated in this context, and the dynamical horizons are contrasted with the event horizon. The formation of multiple marginally outer trapped surfaces in the Vaidya spacetime is also treated.
Item Type:  Thesis (Dissertation (Ph.D.))  

Subject Keywords:  numerical relativity, black holes, gravitational waves, effectiveonebody formalism, dynamical horizons  
Degree Grantor:  California Institute of Technology  
Division:  Physics, Mathematics and Astronomy  
Major Option:  Physics  
Thesis Availability:  Public (worldwide access)  
Research Advisor(s): 
 
Thesis Committee: 
 
Defense Date:  8 July 2011  
NonCaltech Author Email:  tonyc (AT) caltech.edu  
Funders: 
 
Record Number:  CaltechTHESIS:07292011012517485  
Persistent URL:  http://resolver.caltech.edu/CaltechTHESIS:07292011012517485  
DOI:  10.7907/MKD21N95  
Related URLs: 
 
Default Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided.  
ID Code:  6556  
Collection:  CaltechTHESIS  
Deposited By:  Tony Chu  
Deposited On:  25 Aug 2011 18:41  
Last Modified:  16 Jul 2019 22:04 
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