English

Derivation of the Null Energy Condition

High Energy Physics - Theory 2015-04-08 v2 Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology

Abstract

We derive the null energy condition, understood as a constraint on the Einstein-frame Ricci tensor, from worldsheet string theory. For a closed bosonic string propagating in a curved geometry, the spacetime interpretation of the Virasoro constraint condition is precisely the null energy condition, to leading nontrivial order in the alpha-prime expansion. Thus the deepest origin of the null energy condition lies in worldsheet diffeomorphism invariance.

Keywords

Cite

@article{arxiv.1406.5163,
  title  = {Derivation of the Null Energy Condition},
  author = {Maulik Parikh and Jan Pieter van der Schaar},
  journal= {arXiv preprint arXiv:1406.5163},
  year   = {2015}
}

Comments

10 pages, journal version