Dappiaggi, Claudio and Moretti, Valter and Pinamonti, Nicola (2008) Distinguished quantum states in a class of cosmological spacetimes and their Hadamard property. UNSPECIFIED. (Unpublished)
In a recent paper, we proved that a large class of spacetimes, not necessarily homogeneous or isotropous and relevant at a cosmological level, possesses a preferred codimension one submanifold, i.e., the past cosmological horizon, on which it is possible to encode the information of a scalar field theory living in the bulk. Such bulk-toboundary reconstruction procedure entails the identification of a preferred quasifree algebraic state for the bulk theory, enjoying remarkable properties concerning invariance under isometries (if any) of the bulk and energy positivity, and reducing to well-known vacua in standard situations. In this paper, specializing to open FRW models, we extend proviosly obtained results and we prove that the preferred state is of Hadamard form, hence the backreaction on the metric is nite and the state can be used as a starting point for renormalization procedures. That state could play a distinguished role in the discussion of the evolution of scalar fluctuations of the metric, an analysis often performed in the development of any model describing the dynamic of an early Universe which undergoes an in ationary phase of rapid expansion in the past.
|Item Type: ||Departmental Technical Report|
|Department or Research center: ||Mathematics|
|Report Number: ||UTM 726, December 2008|
|Repository staff approval on: ||26 Mar 2009|
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