California State University, Northridge WordmarkOviatt Library WordmarkOviatt Library Catalog Wordmark
Author Havens, Samuel, author.
Title Fermi coordinates and relative motion in inflationary power law cosmologies / by Samuel Havens.
Published [Northridge, California] : California State University, Northridge, 2012.

 Electronic Book  QA11 .Z95 2012 H38eb    ONLINE
Description 1 online resource (vii, 43 pages)
Content Type text
Format online resource
File Characteristics text file PDF
Thesis M.S. California State University, Northridge 2012.
Bibliography Includes bibliographical references (pages 41-43).
Note Description based on online resource; title from PDF title page (viewed on January 18, 2013).
Summary This work has two primary goals: to give exact Fermi coordinates for geodesic observers, and to give formulas for the Fermi relative velocity, both in the context of power law cosmologies. To those ends, the author gives the necessary mathematical and physical background, beginning at the level that a first-year graduate student of mathematics should find comfortable. In Chapter 2, we develop the theory of manifolds, focusing on Lorentzian manifolds. In Chapter 3, the necessary components of Einstein's general theory of relativity are presented. A cosmology is said to be inflationary if it expands at an accelerated rate; in Chapter 4, the author shows that formulas which were known to hold for non-inflationary cosmologies also hold for inflationary power law cosmologies. This is of particular interest because there are multiple recent papers which suggest modeling the universe as an inflationary power law cosmology.
Subject Cosmology.
Differentiable manifolds.
Inflationary universe.
General relativity (Physics)
Local Subject Dissertations, Academic -- CSUN -- Mathematics.
OCLC number 847760119