English

On the Hadamard condition on Robertson-Walker spacetime

Mathematical Physics 2007-05-23 v1 math.MP

Abstract

Using construction of adiabatic vacuum states of a free scalar field on Robertson-Walker spacetime, using results of Luders and Roberts we prove that validity of the Hadamard condition implies smoothness of the scale factor.

Cite

@article{arxiv.math-ph/0609007,
  title  = {On the Hadamard condition on Robertson-Walker spacetime},
  author = {Jan Tichavsky},
  journal= {arXiv preprint arXiv:math-ph/0609007},
  year   = {2007}
}

Comments

9 pages, no figures

R2 v1 2026-07-22T16:28:16.957Z