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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
97db30d2-5b23-453b-b3a3-d982e1f1e17c
Swift, Simon
97db30d2-5b23-453b-b3a3-d982e1f1e17c
d'Inverno, R.
b5b35176-5760-4370-bb72-6c35243ed1c1
Vickers, James
719cd73f-c462-417d-a341-0b042db88634

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: https://eprints.soton.ac.uk/id/eprint/192435
PURE UUID: d562cf09-dff1-431d-92b8-b1592cfc6ebb
ORCID for James Vickers: ORCID iD orcid.org/0000-0002-1531-6273

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Date deposited: 11 Jul 2011 15:55
Last modified: 06 Jun 2018 13:18

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