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  • Parametric manifolds

    Creator:
    Boersma, Stuart F.
    Abstract:
    A standard tool in general relativity is the 3+1 or ADM point of view, namely slicing spacetime into spacelike hypersurfaces of constant time and then describing physics in terms of time-dependent quantities on a typical such hypersurface. Much less well-known is the 1+3 point of view, in which one foliates...
    Resource Type:
    Dissertation

  • Distributional modes for quantum field theory in curved spacetimes

    Creator:
    Agnew, Alfonso F.
    Resource Type:
    Dissertation

  • A new look at the Ashtekar-Magnon energy condition

    Creator:
    Fischer, James P.
    Abstract:
    Quantum field theory has enjoyed much success, indeed for ordinary flat spacetime applications it has been experimentally verified to a great deal of accuracy. However on general cursed spacetime backgrounds there is no canonical method for constructing a quantum field theory. In 1975, Abhay Ashtekar and Anne Magnon made progress...
    Resource Type:
    Dissertation

  • Einstein’s equations in the presence of signature change

    Creator:
    Dray, Tevian
    Abstract:
    We discuss Einstein’s field equations in the presence of signature change using variational methods, obtaining a generalization of the Lanczos equation relating the distributional term in the stress tensor to the discontinuity of the extrinsic curvature. In particular, there is no distributional term in the stress tensor, and hence no...
    Resource Type:
    Article
    Full Text:
    choice means that both 5628 Tevian Dray: Einstein’s equations in the presence of signature J. Math

  • The relationship between monopole harmonics and spinweighted spherical harmonics

    Creator:
    Dray, Tevian
    Abstract:
    We compare two independent generalizations of the usual spherical harmonics, namely monopole harmonics and spin‐weighted spherical harmonics, and make precise the sense in which they can be considered to be the same. By analogy with the spin‐gauge language, raising and lowering operators for the monopole index of the monopole harmonics...
    Resource Type:
    Article
    Full Text:
    spherical harmonics Tevian Dray Instituut voor Theoretische Fysica, Princetonplein 5, Postbus 80. 006

  • Using Three-Dimensional Spacetime Diagrams in Special Relativity

    Creator:
    Dray, Tevian
    Abstract:
    We provide several examples of the use of geometric reasoning with three-dimensional spacetime diagrams, rather than algebraic manipulations using three-dimensional Lorentz transformations, to analyze problems in special relativity.
    Resource Type:
    Article
    Full Text:
    relativity Using Three-Dimensional Spacetime Diagrams in Special Relativity Tevian Dray∗ Department of

  • A unified treatment of Wigner D functions, spin‐weighted spherical harmonics, and monopole harmonics

    Creator:
    Dray, Tevian
    Abstract:
    A unified, self‐contained treatment of Wigner D functions, spin‐weighted spherical harmonics, and monopole harmonics is given, both in coordinate‐free language and for a particular choice of coordinates.
    Resource Type:
    Article
    Full Text:
    -+ [( peIA., z) J. The projection 17',. is given by Tevian Dray (22) (23) (24) 782 Downloaded 20

  • Reply Comment: Comparison of approaches to classical signature change

    Creator:
    Hellaby, Charles and Dray, Tevian
    Abstract:
    We contrast the two approaches to ‘‘classical’’ signature change used by Hayward with the one used by us (Hellaby and Dray). There is (as yet) no rigorous derivation of appropriate distributional field equations. Hayward’s distributional approach is based on a postulated modified form of the field equations. We make an...
    Resource Type:
    Article
    Full Text:
    Cape Toison, Rondebosch 7700, South Africa Tevian Dray~ Department of Mathematics, Oregon State

  • The patchwork divergence theorem

    Creator:
    Dray, Tevian and Hellaby, Charles
    Abstract:
    The divergence theorem in its usual form applies only to suitably smooth vector fields. For vector fields which are merely piecewise smooth, as is natural at a boundary between regions with different physical properties, one must patch together the divergence theorem applied separately in each region. We give an elegant...
    Resource Type:
    Article
    Full Text:
    thank the FRD for a research grant. ’ Charles Hellaby and Tevian Dray, “Failure of Standard

  • Failure of standard conservation laws at a classical change of signature

    Creator:
    Hellaby, Charles and Dray, Tevian
    Abstract:
    The divergence theorem as usually stated cannot be applied across a change of signature unless it is reexpressed to allow for a finite source term on the signature change surface. Consequently all conservation laws must also be ‘‘modified,’’ and therefore insistence on conservation of matter across such a surface cannot...
    Resource Type:
    Article
    Full Text:
    , University of Cape Town, Rondebosch, 7700, South Africa Tevian Dray~ Department of Mathematics, Oregon State