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Cosmology, Relativity, and Gravity Commons™
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Full-Text Articles in Cosmology, Relativity, and Gravity
Constraining H0 Via Extragalactic Parallax, Nicholas Ferree
Constraining H0 Via Extragalactic Parallax, Nicholas Ferree
Honors Theses
We examine the prospects for measurement of the Hubble parameter 𝐻0 via observation of the secular parallax of other galaxies due to our own motion relative to the cosmic microwave background rest frame. Peculiar velocities make distance measurements to individual galaxies highly uncertain, but a survey sampling many galaxies can still yield a precise 𝐻0 measurement. We use both a Fisher information formalism and simulations to forecast errors in 𝐻0 from such surveys, marginalizing over the unknown peculiar velocities. The optimum survey observes ∼ 102 galaxies within a redshift 𝐻0max = 0.06. The required errors …
General Relativity And Differential Geometry, Harry Hausner
Isometries And Spontaneous Lorentz Violation In General Relativity, Greg Merritt
Isometries And Spontaneous Lorentz Violation In General Relativity, Greg Merritt
Honors Theses
General Relativity, or GR, is a theory which describes gravity as a manifestation of the curvature of space and time. While the other three fundamental forces in nature are represented as field theories, GR is a geometric theory. In the search for a way to reconcile the field theories for the electromagnetic, strong, and weak forces with the gravitational force, a logical place to start is by re-expressing GR as a field theory. In doing so, we find that the theory contains a number of symmetries. When we solve the equations in GR, we find that by choosing certain solutions …