Global Properties of Vacuum States in de Sitter Space

Details Global Properties of Vacuum States in de Sitter Space Global Properties of Vacuum States in de Sitter Space

1998-03-10

arxiv.org/abs/gr-qc/9803036v2

Annales Poincare Phys.Theor. A70 (1999) 23-40

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, Latex, published version (some typos corrected)

Scientific paper

Starting from the assumption that vacuum states in de Sitter space look for any geodesic observer like equilibrium states with some a priori arbitrary temperature, an analysis of their global properties is carried out in the algebraic framework of local quantum physics. It is shown that these states have the Reeh-Schlieder property and that any primary vacuum state is also pure and weakly mixing. Moreover, the geodesic temperature of vacuum states has to be equal to the Gibbons-Hawking temperature and this fact is closely related to the existence of a discrete PCT-like symmetry. It is also shown that the global algebras of observables in vacuum sectors have the same structure as their counterparts in Minkowski space theories.

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