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    Asymptotically simple spacetime manifolds

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    LernerD_JoMP_1974(15)1416.pdf (521.1Kb)
    Issue Date
    1974-02-01
    Author
    Lerner, Daniel E.
    Porter, J. R.
    Publisher
    American Institute of Physics
    Type
    Article
    Article Version
    Scholarly/refereed, publisher version
    Metadata
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    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.
    Description
    This is the published version, also available here: http://dx.doi.org/10.1063/1.1666825.
    URI
    http://hdl.handle.net/1808/16940
    DOI
    https://doi.org/10.1063/1.1666825
    Collections
    • Mathematics Scholarly Works [282]
    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.

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    Contact KU ScholarWorks
    785-864-8983
    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    785-864-8983

    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    Image Credits
     

     

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