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Title: Quantum field theory near black holes
Author: Daniels, D. R.
Awarding Body: University College of Swansea
Current Institution: Swansea University
Date of Award: 1995
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In Part I we investigated the phenomenon that photons propagating in curved space-time may, depending on their direction and polarisation, travel at speeds greater than the speed of light c. The explicit cases calculated for, were the Reissner Nordstrom and Kerr metrics. This led to a postulated Horizon Sum Rule and Polarisation Theorem for photons propagating in general black hole spacetimes. The effects of a purely electromagnetic background were also calculated on photon propagation, with an intriguing possible link with the conformal anomaly appearing. We argue that the 'faster than light effect' does not violate causality, but rather implies the breakdown of the Strong Equivalence Principle for interacting Quantum Field Theories in curved space-time. In Part II we calculated the tree level and one loop quantum corrections, to the entropies of Rindler space and a Schwarzschild black hole, in two dimensions, due to a minimally coupled, massive scalar field, via two differing approaches. The first, the conical singularity method, relied on shifting the Hawking temperature away from its equilibrium value, inducing temperature dependent corrections to the entropy. For the Schwarzschild black hole case, the effective action was found to possess the property of invariance under temperature duality. The second, 'Brick Wall' method, involved counting the number of states that a scalar field could occupy in the vicinity of an event horizon. The entropies consequently obtained for Rindler space and a Schwarzchild black hole, in two dimensions, were found to be divergent as the horizon was approached. We discussed how both investigations might shed some light on the nature and origin of black hole entropy.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available