Abstract
By comparing the linearized Einstein field equations for a conformally flat and vacuum dominated spacetime with the gravitoelectromagnetic Proca equations for a dust dominated spacetime, we deduce that the longitudinal graviton mass is proportional to the square root of the cosmic (or vacuum-spacetime) mass density. We establish a stronger limit for the longitudinal graviton mass (m gl ≤ 9.592 × 10−66 g) as compared to the earlier known limits (m gl ≤ 2 × 10−62 g). We also obtain that the energy density of the vacuum is half that of the energy density of cosmic matter. This result agrees just about with the relation between the density of the vacuum energy and the energy of cosmic matter that has been proposed in order to solve the age old problem of cosmological models containing dark matter and critical total energy density (see, e.g., S Dodelson, E. I. Gates and M. S. Turner, Cold Dark Matter, Science 274 69 (1996) [1]).
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Argyris, J., Ciubotariu, C. (1998). A Limit on the Longitudinal Graviton Mass. In: Hunter, G., Jeffers, S., Vigier, JP. (eds) Causality and Locality in Modern Physics. Fundamental Theories of Physics, vol 97. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0990-3_17
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DOI: https://doi.org/10.1007/978-94-017-0990-3_17
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