Curved spaces admiting solutions to twistor equations
<p>This thesis comprises three sections. In the first, real space-times admitting a solution to the two-index twistor (Killing spinor) equation are constructed and the separability properties of solutions to zero rest-mass field equations within these space-times are derived. In addition condi...
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Thesis |
| Language: | English |
| Published: |
1984
|
| Subjects: |
| _version_ | 1797086952715976704 |
|---|---|
| author | Jeffryes, BP |
| author2 | Penrose, R |
| author_facet | Penrose, R Jeffryes, BP |
| author_sort | Jeffryes, BP |
| collection | OXFORD |
| description | <p>This thesis comprises three sections. In the first, real space-times admitting a solution to the two-index twistor (Killing spinor) equation are constructed and the separability properties of solutions to zero rest-mass field equations within these space-times are derived. In addition conditions for differential relations between components of opposite helicity are derived.</p>
<p>In the second section class of half algebraically-special spaces is investigated, a class which may be characterised as those admitting a certain partial two-index twistor (Killing spinor). A formalism based on their structure as a two-dimensional family of flat null two-planes is developed and used to provide an explicit integration of the curvature equations, to discuss Hertz-type potentials for zero rest-mass fields and to examine a class of Einstein-Maxwell spaces and their perturbations. </p>
<p>In the third section we examine the relation between the space of solutions to the twistor equation restricted to a general space--like two-surface of spherical topology (two-surface twistor space) and its dual. This is then used to discuss the nature of the local embedding of the two-surface in a space conformally related to complex Minkowski space.</p> |
| first_indexed | 2024-03-07T02:29:12Z |
| format | Thesis |
| id | oxford-uuid:a6a9095e-22cf-434e-afb9-8da150ca8d8e |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T02:29:12Z |
| publishDate | 1984 |
| record_format | dspace |
| spelling | oxford-uuid:a6a9095e-22cf-434e-afb9-8da150ca8d8e2022-03-27T02:48:51ZCurved spaces admiting solutions to twistor equationsThesishttp://purl.org/coar/resource_type/c_db06uuid:a6a9095e-22cf-434e-afb9-8da150ca8d8eTwistor theoryGeneral relativity (Physics)EnglishHyrax Deposit1984Jeffryes, BPPenrose, R<p>This thesis comprises three sections. In the first, real space-times admitting a solution to the two-index twistor (Killing spinor) equation are constructed and the separability properties of solutions to zero rest-mass field equations within these space-times are derived. In addition conditions for differential relations between components of opposite helicity are derived.</p> <p>In the second section class of half algebraically-special spaces is investigated, a class which may be characterised as those admitting a certain partial two-index twistor (Killing spinor). A formalism based on their structure as a two-dimensional family of flat null two-planes is developed and used to provide an explicit integration of the curvature equations, to discuss Hertz-type potentials for zero rest-mass fields and to examine a class of Einstein-Maxwell spaces and their perturbations. </p> <p>In the third section we examine the relation between the space of solutions to the twistor equation restricted to a general space--like two-surface of spherical topology (two-surface twistor space) and its dual. This is then used to discuss the nature of the local embedding of the two-surface in a space conformally related to complex Minkowski space.</p> |
| spellingShingle | Twistor theory General relativity (Physics) Jeffryes, BP Curved spaces admiting solutions to twistor equations |
| title | Curved spaces admiting solutions to twistor equations |
| title_full | Curved spaces admiting solutions to twistor equations |
| title_fullStr | Curved spaces admiting solutions to twistor equations |
| title_full_unstemmed | Curved spaces admiting solutions to twistor equations |
| title_short | Curved spaces admiting solutions to twistor equations |
| title_sort | curved spaces admiting solutions to twistor equations |
| topic | Twistor theory General relativity (Physics) |
| work_keys_str_mv | AT jeffryesbp curvedspacesadmitingsolutionstotwistorequations |