Eternal inflation and the initial singularity
Arvind Borde, Alexander Vilenkin

TL;DR
The paper demonstrates that any physically reasonable eternally inflating spacetime inevitably begins with an initial singularity, highlighting a fundamental limitation of eternal inflation models.
Contribution
It proves that eternal inflation models cannot be free of initial singularities under reasonable physical assumptions.
Findings
Eternal inflation spacetimes must have an initial singularity.
The initial singularity is unavoidable in physically reasonable models.
Supports the idea that inflationary models have a beginning.
Abstract
It is shown that a physically reasonable spacetime that is eternally inflating to the future must possess an initial singularity.
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