ATTENTION: The software behind KU ScholarWorks is being upgraded to a new version. Starting July 15th, users will not be able to log in to the system, add items, nor make any changes until the new version is in place at the end of July. Searching for articles and opening files will continue to work while the system is being updated. If you have any questions, please contact Marianne Reed at mreed@ku.edu .

Show simple item record

dc.contributor.authorLerner, Daniel E.
dc.contributor.authorPorter, J. R.
dc.date.accessioned2015-03-03T19:47:40Z
dc.date.available2015-03-03T19:47:40Z
dc.date.issued1974-02-01
dc.identifier.citationLerner, David E. & Porter, J. R. "Asymptotically simple space-time manifolds." J. Math. Phys. 15, 1416 (1974). http://dx.doi.org/10.1063/1.1666825.en_US
dc.identifier.urihttp://hdl.handle.net/1808/16940
dc.descriptionThis is the published version, also available here: http://dx.doi.org/10.1063/1.1666825.en_US
dc.description.abstractAsymptotic simplicity is shown to be k‐stable (k≥3) at any Minkowski metric on R4 in both the Whitney fine Ck topology and a coarser topology (in which the Ck twice‐convariant symmetric tensors form a Banach manifold whose connected components consist of tensor field asymptotic to one another at null infinity). This result, together with a sequential method for solving the field equations previously proposed by the authors, allows a fairly straightforward proof that a well‐known result in the linearized theory holds in the full nonlinear theory as well: There are no nontrivial (i.e., non‐Minkowskian) asymptotically simple vacuum metrics on R4 whose conformal curvature tensors result from prescribing zero initial data on past null infinity.en_US
dc.publisherAmerican Institute of Physicsen_US
dc.subjectTensor methodsen_US
dc.subjectConformal field theoryen_US
dc.subjectManifoldsen_US
dc.subjectNonlinear field theoriesen_US
dc.subjectTopologyen_US
dc.titleAsymptotically simple spacetime manifoldsen_US
dc.typeArticle
kusw.kuauthorLerner, David E.
kusw.kudepartmentMathematicsen_US
dc.identifier.doi10.1063/1.1666825
kusw.oaversionScholarly/refereed, publisher version
kusw.oapolicyThis item does not meet KU Open Access policy criteria.
dc.rights.accessrightsopenAccess


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record