Topics in Quantum Gravity and Quantum Field Theory in Curved Spacetime

Details Topics in Quantum Gravity and Quantum Field Theory in Curved Spacetime Topics in Quantum Gravity and Quantum Field Theory in Curved Spacetime

Oct 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997phdt........11w&link_type=abstract

Thesis (PHD). THE UNIVERSITY OF WISCONSIN - MILWAUKEE , Source DAI-B 58/04, p. 1927, Oct 1997, 164 pages.

Mathematics

Metric Geometry

Electrovac, Vacuum

Scientific paper

A rigorous Lorentzian Hamiltonian quantum theory for spherically symmetric electrovac geometries that are asymptotically anti-deSitter is developed. The thermodynamics of this theory is then studied. The thermodynamical stability of Einstein gravity when modified by couplings to a one parameter family of five-dimensional Lovelock theories is also considered. Next, a minisuperspace formalism is used to describe a spherically symmetric geometry with a shell of dust. The reduced Hamiltonian for the minisuperspace is then related by a time reparameterization to a simpler (and known) form, for which a quantization is described. Finally, the consequences of certain regularity criteria for preferred vacua in flat and curved spacetimes are investigated. In particular, the consequences of requiring that the vacuum state describe data obtainable by evolution of regular data from the remote past are examined.

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