New two-metric theory of gravity with prior geometry

  title={New two-metric theory of gravity with prior geometry},
  author={Alan Paige Lightman and David L. Lee},
  journal={Physical Review D},
We present a Lagrangian-based metric theory of gravity with three adjustable constants and two tensor fields, one of which is a nondynamical "flat-space metric" $\ensuremath{\eta}$. With a suitable cosmological model and a particular choice of the constants, the "post-Newtonian limit" of the theory agrees, in the current epoch, with that of general relativity theory (GRT); consequently our theory is consistent with current gravitation experiments. Because of the role of $\ensuremath{\eta}$, the… 

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in Relativity, Groups, and Topology ed

  • D.Witt and DeWitt (Gordon and Breach,
  • 1964

III where p denotes energy density and r is arbitrary, p is an isotropic radial coordinate, i.e., p -(X2 + y2 + z) /2 and r is a curvature radial coordinate

    Thorne first pointed this out in a priviate communication at Palomar Mountain

    • 1972

    For the precise definitions of various words and concepts used in this paper, we refer the reader to

    • Phys. Rev
    • 1973

    and E

    • M. Lifshitz, The Classical Theory of Fields (Addison-Wesley,
    • 1962