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Geodesic completeness and homogeneity condition for cosmic inflation
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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.
Forward citations
Cited by 2 Pith papers
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Geodesic completeness of anisotropic cosmologies and the null energy condition
A Bianchi-I spacetime obeying the null energy condition and expanding in all directions at one time must have past-incomplete null geodesics.
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