Adiabatic States in non-Smooth spacetimes
Venue: Yafet E. Sanchez Sanchez - Aula Lagrange (Dipartimento di Matematica, Università di Torino)
motivations. First, there are several models of physical phenomena that
require spacetime metrics with finite regularity. These include models
of gravitational collapse, astrophysical objects and general
relativistic fluids. Second, the well-posedness of Einstein’s equations,
viewed as a system of hyperbolic PDE requires spaces with finite
regularity. Ground states are a well-known class of Hadamard states in
smooth spacetimes. In this talk, I will present our proof that the
ground state of the Klein–Gordon field in a non-smooth ultra static
spacetime is an adiabatic state characterised by a Sobolev Wavefront set
condition that depends on the regularity of the metric.
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