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Title: Quantum techniques for classical black holes
Author: Nicholson, Isobel
ISNI:       0000 0004 8497 7563
Awarding Body: University of Edinburgh
Current Institution: University of Edinburgh
Date of Award: 2019
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Modern theoretical physics has benefited from a rapid growth in mathematical technology. In particular, technology developed in one field can be quickly adapted for use in another. Two key techniques developed for simplifying calculations of Feynman diagrams are spinor-helicity and the double copy. This thesis will discuss how they can be applied to general relativity. Spinor-helicity is used in particle physics to simplify expressions. In D > 4 this is done by observing that the residual symmetry of the little group is non-trivial. We adapt this technology to classify higher-dimensional spacetimes in the style of the D = 4 Petrov classification. Focusing on D = 5, our scheme naturally reproduces the full structure previously seen in both the CMPP and de Smet classifications, and resolves long-standing questions concerning their relationship. We review the exact classical double copy introduced for stationary Kerr-Schild spacetimes. We consider a time-dependent generalisation: the accelerating, radiating point particle. This Kerr-Schild solution has a non-trivial stress-energy tensor which we interpret as the radiative part of the field and find the corresponding single copy. Using Bremsstrahlung as an example, we determine a scattering amplitude describing the radiation which is consistent with the quantum double copy. This indicates a profound connection between exact classical solutions and the double copy. The double copy relates YM and gravity amplitudes through the observation that numerators of Feynman diagrams can be made to obey a Jacobi relation mirroring the colour charges. This additional structure can be adapted for use in classical perturbative calculations. The double copy maps to N = 0 supergravity requiring careful treatment of the dilaton. Using the Janis-Newman-Winicour family of naked singularities as an example we demonstrate how to construct spacetime metrics through a systematic perturbative expansion.
Supervisor: O'Connell, Donal ; Lucietti, James Sponsor: Science and Technology Facilities Council (STFC)
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: General Relativity ; higher dimensions ; five dimensions ; double copy ; quantum phenomenon ; transformation function