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 4143). 
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 firstyear 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 noninflationary 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 
