Asymptotic structure and symmetries of FLRW universes (2019)
Type of ContentTheses / Dissertations
Degree NameBachelor of Science (Hons)
PublisherUniversity of Canterbury
The asymptotic structure and symmetries of asymptotically flat spacetime are closely related to the gravitational memory effect, whereby detectors are permanently displaced relative to one another due to the passing of gravitational radiation. We examine the asymptotic properties and structure of a class of non-asymptotically flat spacetimes, including the dust-filled spatially hyperbolic and decelerating spatially flat Friedmann–Lemaître–Robertson–Walker universes. In order to study asymptotic structure, we inspect the Bondi–Sachs criterion of asymptotic flatness with respect to these universes, and compare the rate of falloff in the deviation of outgoing radial light rays. We take the first steps toward studying gravitational memory in these universes by deriving their associated groups of asymptotic Killing vectors, and comparing them to the well-known case of asymptotically flat spacetime.
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