Physics
Scientific paper
Apr 2001
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001aps..aprj14013l&link_type=abstract
American Physical Society, April Meeting, April 28 - May 1, 2001 Washington, DC Bulletin of the American Physical Society, Vol.
Physics
Scientific paper
It has shown that Einstein General Relativity can be expressed covariantly in a bi-metric spacetime context[1], without the uncertainties which arise from the effects of gravitational energy-momentum pseudotensors. We construct a new bi-metric General Relativity theory of gravitation in curved spacetime[2] , based on a new physical paradigm, which allows the operational procedure of local spacetime measurements in general spacetime frames of reference to be defined in a similar manner as that for local spacetime measurements in inertial Special Relativistic spacetime frames. The paradigm[3] accomplishes this by using the Principle of Equivalence to define the symmetric metric tensor of curved spacetime as an exponential function of a symmetric gravitational potential tensor. Since the metric tensor in the new bi-metric General Relativity theory is an exponential function of the gravitational potential tensor, we find that requiring the matter geodesic equations of motion to have an N-body interactive form implies that the gravitational potential tensor must obey a superposition principle. This requirement uniquely determines the field equations for the gravitational potential tensor in the theory. The structure of these field equations imply that , in addition to the matter energy-momentum tensor, a gravitational field stress-energy tensor appears in the right member of the Einstein field equations. A unique prediction of the new bi-metric General Relativity theory is that massive compact astrophysical objects have no event horizons and can manifest the existence of intrinsic dipole magnetic fields which can affect their accretion disks. [1] Rosen, N., (1963), Annals of Physics, vol 22, pg 1 [2] Leiter, D.J., and Robertson ,S.L., LANL, arXiv.org, eprint, gr-qc/0101025 [3] Yilmaz , H., (1981), International Journal of Theo. Phys., vol 21, No's,10/11, pg 871
Leiter Darryl J.
Robertson Stanley L.
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