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Spinors, embeddings and gravity

Spinors, embeddings and gravity
Spinors, embeddings and gravity
This thesis is concerned with the theory of spinors, embeddings and everywhere invariance with applications to general relativity. The approach is entirely geometric with particular emphasis on the use of natural structures. A clear indication of the interaction between the above topics is given; this Interaction then sheds light on various aspects of general relativity theory.

The main ideas discussed are:- (i) Spinors, conformal structure and the spacetime projective null bundle framework. (ii) Spaces of embeddings. (ill) Embeddings and spin structure. (iv) Null embeddings and the null limit (a technique for obtaining differential equations on null hypersurfaces). (v) Quasi-local momentum. (vi) The space of metrics, natural group actions and generalized conformal structure. (vii) Everywhere invariance and the invariance equation as a method for obtaining spacetime symmetries. Three appendices are also provided:- These give comprehensive summaries of the theories of principal bundles, conformal structure and asymptotic simplicity.
Swift, Simon
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Swift, Simon
97db30d2-5b23-453b-b3a3-d982e1f1e17c
d'Inverno, R.
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Vickers, J.
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Swift, Simon (1988) Spinors, embeddings and gravity. University of Southampton, Department of Mathematics, Doctoral Thesis, 453pp.

Record type: Thesis (Doctoral)

Abstract

This thesis is concerned with the theory of spinors, embeddings and everywhere invariance with applications to general relativity. The approach is entirely geometric with particular emphasis on the use of natural structures. A clear indication of the interaction between the above topics is given; this Interaction then sheds light on various aspects of general relativity theory.

The main ideas discussed are:- (i) Spinors, conformal structure and the spacetime projective null bundle framework. (ii) Spaces of embeddings. (ill) Embeddings and spin structure. (iv) Null embeddings and the null limit (a technique for obtaining differential equations on null hypersurfaces). (v) Quasi-local momentum. (vi) The space of metrics, natural group actions and generalized conformal structure. (vii) Everywhere invariance and the invariance equation as a method for obtaining spacetime symmetries. Three appendices are also provided:- These give comprehensive summaries of the theories of principal bundles, conformal structure and asymptotic simplicity.

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More information

Published date: September 1988
Organisations: University of Southampton

Identifiers

Local EPrints ID: 192435
URI: http://eprints.soton.ac.uk/id/eprint/192435
PURE UUID: d562cf09-dff1-431d-92b8-b1592cfc6ebb
ORCID for J. Vickers: ORCID iD orcid.org/0000-0002-1531-6273

Catalogue record

Date deposited: 11 Jul 2011 15:55
Last modified: 15 Mar 2024 02:34

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Contributors

Author: Simon Swift
Thesis advisor: R. d'Inverno
Thesis advisor: J. Vickers ORCID iD

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