On the Hadamard condition on Robertson-Walker spacetime

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.

arXiv comment9 pages, no figures

References in corpus (1)

• Adiabatic Vacua and Hadamard States for Scalar Quantum Fields on Curved Spacetime