On the Hadamard condition on Robertson-Walker spacetime
Jan Tichavsky
TL;DR
This paper demonstrates that in Robertson-Walker spacetime, the Hadamard condition for quantum states necessitates the smoothness of the universe's scale factor, linking quantum field conditions to cosmological geometry.
Contribution
It establishes a rigorous connection between the Hadamard condition and the smoothness of the scale factor in Robertson-Walker spacetime, extending previous theoretical results.
Findings
Hadamard condition implies smooth scale factor
Construction of adiabatic vacuum states used
Links quantum field conditions to cosmological geometry
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.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Quantum Electrodynamics and Casimir Effect