Null Energy Condition Violations in Eternal Inflation
Abstract
The usual scenario of ``eternal inflation'' involves an approximately de Sitter spacetime undergoing upward fluctuations of the local expansion rate . This spacetime requires frequent violations of the Null Energy Condition (NEC). We investigate the fluctuations of the energy-momentum tensor of the scalar field in de Sitter space as a possible source of such violations. We find that fluctuations of the energy-momentum tensor smeared in space and time are well-defined and may provide the NEC violations. Our results for slow-roll inflation are consistent with the standard calculations of inflationary density fluctuations. In the diffusive regime where quantum fluctuations dominate the slow-roll evolution, the magnitude of smeared energy-momentum tensor fluctuations is large enough to create frequent NEC violations.
Keywords
Cite
@article{arxiv.gr-qc/0111109,
title = {Null Energy Condition Violations in Eternal Inflation},
author = {Serge Winitzki},
journal= {arXiv preprint arXiv:gr-qc/0111109},
year = {2020}
}
Comments
Talk given at COSMO-2001, Rovaniemi, Finland. 7 pages, 2 figures