Conformal pure radiation with parallel rays
We define pure radiation metrics with parallel rays to be n-dimensional pseudo-Riemannian metrics that admit a parallel null line bundle K and whose Ricci tensor vanishes on vectors that are orthogonal to K. We give necessary conditions in terms of the Weyl, Cotton and Bach tensors for a pseudo-Riem...
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| Veröffentlicht in: | Classical and quantum gravity 2012-03, Vol.29 (5), p.55007-1-055007-12 |
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| container_title | Classical and quantum gravity |
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| creator | Leistner, Thomas Pawe Nurowski |
| description | We define pure radiation metrics with parallel rays to be n-dimensional pseudo-Riemannian metrics that admit a parallel null line bundle K and whose Ricci tensor vanishes on vectors that are orthogonal to K. We give necessary conditions in terms of the Weyl, Cotton and Bach tensors for a pseudo-Riemannian metric to be conformal to a pure radiation metric with parallel rays. Then, we derive conditions in terms of the tractor calculus that are equivalent to the existence of a pure radiation metric with parallel rays in a conformal class. We also give analogous results for n-dimensional pseudo-Riemannian pp-waves. |
| doi_str_mv | 10.1088/0264-9381/29/5/055007 |
| format | Article |
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We also give analogous results for n-dimensional pseudo-Riemannian pp-waves.</description><subject>Calculus</subject><subject>conformal geometry</subject><subject>Cotton</subject><subject>Equivalence</subject><subject>Exact sciences and technology</subject><subject>General relativity and gravitation</subject><subject>Mathematical analysis</subject><subject>parallel rays</subject><subject>Physics</subject><subject>pp-waves</subject><subject>pure radiation</subject><subject>Quantum gravity</subject><subject>Tensors</subject><subject>tractor calculus</subject><subject>Tractors</subject><subject>Vectors (mathematics)</subject><issn>0264-9381</issn><issn>1361-6382</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><recordid>eNqFkE9LxDAUxIMouK5-BKEXQZDavKRJ06Ms_oMFL3oOr22CXbJNTVpkv70tXfbq6cEw83vMEHIL9BGoUhllMk9LriBjZSYyKgSlxRlZAZeQSq7YOVmdPJfkKsYdpQAK2Io8bHxnfdijS_oxmCRg0-LQ-i75bYfvpMeAzhk36Yd4TS4sumhujndNvl6ePzdv6fbj9X3ztE1rLtSQMimhKoFSxXOouKjANLZoCuQIhuUKadFI2RTWcpA5L7nFBupJMFXJi8rwNblfuH3wP6OJg963sTbOYWf8GDVINsHzvBCTVSzWOvgYg7G6D-0ew0ED1fM4ei6u5-KalVroZZwpd3d8gbFGZwN2dRtPYSZEKYSa-bD4Wt_rnR9DNxX_h_0HxKJxjQ</recordid><startdate>20120307</startdate><enddate>20120307</enddate><creator>Leistner, Thomas</creator><creator>Pawe Nurowski</creator><general>IOP Publishing</general><general>Institute of Physics</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20120307</creationdate><title>Conformal pure radiation with parallel rays</title><author>Leistner, Thomas ; Pawe Nurowski</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c358t-2661b91008341b35b1edf7d7a3a1e248a07d66d7ff3164393fad1c6d7eb937be3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Calculus</topic><topic>conformal geometry</topic><topic>Cotton</topic><topic>Equivalence</topic><topic>Exact sciences and technology</topic><topic>General relativity and gravitation</topic><topic>Mathematical analysis</topic><topic>parallel rays</topic><topic>Physics</topic><topic>pp-waves</topic><topic>pure radiation</topic><topic>Quantum gravity</topic><topic>Tensors</topic><topic>tractor calculus</topic><topic>Tractors</topic><topic>Vectors (mathematics)</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Leistner, Thomas</creatorcontrib><creatorcontrib>Pawe Nurowski</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Classical and quantum gravity</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Leistner, Thomas</au><au>Pawe Nurowski</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Conformal pure radiation with parallel rays</atitle><jtitle>Classical and quantum gravity</jtitle><stitle>CQG</stitle><addtitle>Class. 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| source | IOP Publishing Journals; Institute of Physics (IOP) Journals - HEAL-Link |
| subjects | Calculus conformal geometry Cotton Equivalence Exact sciences and technology General relativity and gravitation Mathematical analysis parallel rays Physics pp-waves pure radiation Quantum gravity Tensors tractor calculus Tractors Vectors (mathematics) |
| title | Conformal pure radiation with parallel rays |
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