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Asymptotically simple spacetime manifolds
dc.contributor.author | Lerner, Daniel E. | |
dc.contributor.author | Porter, J. R. | |
dc.date.accessioned | 2015-03-03T19:47:40Z | |
dc.date.available | 2015-03-03T19:47:40Z | |
dc.date.issued | 1974-02-01 | |
dc.identifier.citation | Lerner, 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.uri | http://hdl.handle.net/1808/16940 | |
dc.description | This is the published version, also available here: http://dx.doi.org/10.1063/1.1666825. | en_US |
dc.description.abstract | Asymptotic 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.publisher | American Institute of Physics | en_US |
dc.subject | Tensor methods | en_US |
dc.subject | Conformal field theory | en_US |
dc.subject | Manifolds | en_US |
dc.subject | Nonlinear field theories | en_US |
dc.subject | Topology | en_US |
dc.title | Asymptotically simple spacetime manifolds | en_US |
dc.type | Article | |
kusw.kuauthor | Lerner, David E. | |
kusw.kudepartment | Mathematics | en_US |
dc.identifier.doi | 10.1063/1.1666825 | |
kusw.oaversion | Scholarly/refereed, publisher version | |
kusw.oapolicy | This item does not meet KU Open Access policy criteria. | |
dc.rights.accessrights | openAccess |