Cosmological perturbation theory in a matter-time gauge

dc.contributor.advisorHusain, Viqar
dc.contributor.authorSaeed, Mustafa
dc.date.accessioned2023-03-01T16:20:36Z
dc.date.available2023-03-01T16:20:36Z
dc.date.issued2019
dc.date.updated2023-03-01T15:01:45Z
dc.description.abstractThis work examines cosmological perturbations in a Hamiltonian framework with a matter-time gauge. Einstein's field equations are written in a matter-time gauge. The perturbed three-metric of cosmology, its conjugate momentum and the shift are substituted in these equations. The equations of motion of the perturbations to linear order are derived. These equations are expanded in terms of spatial Fourier modes and are then decomposed into scalar, vector and tensor components. After fixing gauges and solving constraints we find that the scalar mode is ultralocal and that the vector modes vanish. We also see that the traceless transverse tensor modes give the known propagation equation for gravitational waves in an expanding, spatially at, homogeneous and isotropic background.
dc.description.copyright© Mustafa Saeed, 2019
dc.formattext/xml
dc.format.extentxi, 155 pages
dc.format.mediumelectronic
dc.identifier.urihttps://unbscholar.lib.unb.ca/handle/1882/13578
dc.publisherUniversity of New Brunswick
dc.rightshttp://purl.org/coar/access_right/c_abf2
dc.subject.disciplinePhysics
dc.titleCosmological perturbation theory in a matter-time gauge
dc.typemaster thesis
thesis.degree.disciplinePhysics
thesis.degree.fullnameMaster of Science
thesis.degree.grantorUniversity of New Brunswick
thesis.degree.levelmasters
thesis.degree.nameM.Sc.

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