States of Low Energy in Homogeneous and Inhomogeneous, Expanding Spacetimes

Abstract

We construct states on the algebra of the Klein-Gordon field that minimize the energy density in homogeneous and in inhomogeneous spacetimes, both with compact Cauchy hypersurfaces. The energy density is measured by geodesic observers and smeared over a spacelike slab of spacetime, entirely containing a Cauchy hypersurface and extended in time. We further show that these states are Hadamard states. The present construction generalizes the construction of States of Low Energy in Robertson-Walker spacetimes presented by Olbermann (2007).

arXiv commentSubstantial modifications made in the text. This version was accepted for publication in Class. Quant. Grav

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• The spatial Functional Renormalization Group and Hadamard states on cosmological spacetimes
• Trace anomaly for chiral fermions via Hadamard subtraction
• Complex Structures for Klein-Gordon Theory on Globally Hyperbolic Spacetimes
• Bonus Properties of States of Low Energy
• Wigner distributions in Rindler spacetime and nonvacuum Minkowski states
• States of Low Energy on Bianchi I spacetimes