An investigation of information loss in black hole spacetimes is performed. We demon-
strate that the definition of particles as energy levels of the Harmonic oscillator will not
have physical significance in general and is thus not a good instrument to study the ra-
diation of black holes. This is due to the ambiguity of the choice of coordinates on the
phase space of the quantum field. We demonstrate how to identify quantum states in
the functional Schr ̀ˆdinger picture.
o
We demonstrate that information is truly lost in the case of a Vaidya black hole (a
black hole formed from null dust) if we neglect back reaction. This is done by quantizing
the constrained classical system of a Klein-Gordon field in a Vaidya background. The
interaction picture of quantum mechanics can be applied to this system.
We find a physically well motivated vacuum state for a spherically symmetric space-
time with an extra conformal Killing vector. We also demonstrate how to calculate the
response of a particle detector in the a LeMaitre-Tolman-Bondi spacetime with a self-
similarity.
Finally, some of the claims and confusion surrounding Unruh radiation, Hawking
radiation and the equivalence principle are investigated and shown to be false.
| Identifer | oai:union.ndltd.org:TORONTO/oai:tspace.library.utoronto.ca:1807/36028 |
| Date | 13 August 2013 |
| Creators | Venditti, Alexander |
| Contributors | Dyer, Charles C. |
| Source Sets | University of Toronto |
| Language | en_ca |
| Detected Language | English |
| Type | Thesis |
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