Title:
Determining the minimal covering set of parameter spaces for phenomenological gravitational waveforms

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dc.contributor.author Burns,  Dustin en_US
dc.contributor.department Physics en_US
dc.date.accessioned 2011-05-11T19:14:16Z
dc.date.available 2011-05-11T19:14:16Z
dc.date.issued 2011-05-09 en_US
dc.description.abstract Gravitational wave observatories are now trying to detect gravitational waves, ripples in space time predicted by Einstein’s theory of General Relativity, from sources such as merging binary star and black hole systems. Numerical relativists create template banks of gravitational waves from merging black hole binaries in an effort to confirm a gravitational wave detection by solving Einstein’s field equations. These waveforms are then compared to the raw data collected by gravitational wave detectors. Since it is computationally expensive to produce the full numerical relativity waveforms, theorists have created approximation techniques called phenomenological waveforms, in which analytical functions approximate the numerical solutions over a finite space of parameters. It is computationally expensive to match the waveform template banks to the data from the observatories. In an effort to minimize the number of waveforms in the template banks, I determine the minimal covering set of the parameter space for non-spinning binary black hole phenomenological waveforms. This is accomplished by marching through a very fine mesh of the parameter space, ensuring that the match between adjacent waveforms is above a given threshold. I determine this minimal covering set for the non-spinning case and discuss how to generalize the program to the full spinning case. en_US
dc.description.advisor Deirdre Shoemaker - Faculty Mentor ; Brian Kennedy - Committee Member/Second Reader ; Pablo Laguna - Committee Member/Second Reader en_US
dc.identifier.uri http://hdl.handle.net/1853/38819
dc.language.iso en_US en_US
dc.publisher Georgia Institute of Technology en_US
dc.subject Gravity en_US
dc.subject Gravitational wave en_US
dc.subject Phenomenological waveform en_US
dc.subject Parameter space en_US
dc.title Determining the minimal covering set of parameter spaces for phenomenological gravitational waveforms en_US
dc.type Text
dc.type.genre Undergraduate Thesis
dspace.entity.type Publication
local.contributor.corporatename College of Sciences
local.contributor.corporatename School of Physics
local.contributor.corporatename Undergraduate Research Opportunities Program
local.relation.ispartofseries Undergraduate Research Option Theses
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relation.isOrgUnitOfPublication 2ba39017-11f1-40f4-9bc5-66f17b8f1539
relation.isOrgUnitOfPublication 0db885f5-939b-4de1-807b-f2ec73714200
relation.isSeriesOfPublication e1a827bd-cf25-4b83-ba24-70848b7036ac
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