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Static and Stationary Spacetimes: Algebraic and Causal Structures

by Dr. Steve Harris of Saint Louis U

  • Geometry/ Topology Seminar
  • Topology Seminar
When Tue, Apr 07, 2015
from 04:10 PM to 05:00 PM
Where 200 Ritter Hall
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Many classical spacetimes models are stationary: there's an isometric R-action with timelike orbits.  Simplest examples are metric products of a timelike line with a Riemannian manifold (in fact, those are static: the orbits have integrable perp-spaces); general structure is that of a line-bundle over the space of stationary orbits.  There can be "unexpected" deviations from simple causal structure: a photon taking longer to go one way around a track than the other way.  Measuring these deviations allows for a complete categorization of the global causal structure, such as being strongly causal.  The algebraic tool that does this is a cohomology class for static spacetimes, but something looser otherwise, a "cocycle" operating on cycles (loops).

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