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  • Covariant Derivatives on Null Submanifolds

    Creator:
    Hickethier, Don and Dray, Tevian
    Abstract:
    The degenerate nature of the metric on null hypersurfaces makes it difficult to define a covariant derivative on null submanifolds. Recent approaches using decomposition to define a covariant derivative on null hypersurfaces are investigated, with examples demonstrating the limitations of the methods. Motivated by Geroch’s work on asymptotically flat spacetimes,...
    Resource Type:
    Article

  • Covariant derivatives on null submanifolds

    Creator:
    Hickethier, Don
    Abstract:
    The degenerate nature of the metric on null hypersurfaces creates many difficulties when attempting to define a covariant derivative on null submanifolds. This dissertation investigates these challenges and provides a technique for defining a connection on null hypersurfaces in some cases. Recent approaches using decomposition to define a covariant derivative...
    Resource Type:
    Dissertation