# Geodesic completeness and homogeneity condition for cosmic inflation

Conroy, Aindriu and S. Koshelev, Alexey and Mazumdar, Anupam (2014) Geodesic completeness and homogeneity condition for cosmic inflation. arxiv.org.

Other (pdf)
1408.6205v1

## Abstract

There are two disjointed problems in cosmology within General Relativity (GR), which can be addressed simultaneously by studying the nature of geodesics around $t\rightarrow 0$, where $t$ is the physical time. One is related to the past geodesic completeness of the inflationary trajectory due to the presence of a cosmological singularity, and the other one is related to the homogeneity condition required to inflate a local space-time patch of the universe. We will show that both the problems have a common origin, arising from how the causal structure of null and timelike geodesics are structured within GR. In particular, we will show how a non-local extension of GR can address both problems, while satisfying the null energy condition for the matter sources.

Item Type:
Journal Article
Journal or Publication Title:
arxiv.org
4 pages, 1 figure
Subjects:
Departments:
ID Code:
71173
Deposited By:
Deposited On:
09 Oct 2014 23:05
Refereed?:
No
Published?:
Published