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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References
Dodelson, S., Gates, E. I. and Turner, M. S.: Cold Dark Matter, Science 274 (1996), 69–75.
Ciubotariu, C.: Absorption of gravitational waves, Phys. Lett. A158 (1991), 27–30.
Harris, E. G.: Analogy between general relativity and electromagnetism for slowly moving particles in weak gravitational fields, Am. J. Phys 59 (1991), 421–425.
Braginski, V. B., Polnarev, A. G., and Thorne, K. S.: Foucault Pendulum at the South Pole: Proposal for an Experiment to Detect the Earth’s General Relativistic Gravitomagnetic Field, Phys. Rev. Lett. 53 (1984), 863–866.
Fulton, T., Rohrlich, F., and Witten, L.: Conformal invariance in physics, Rev. Mod. Phys. 34 (1962), 442–457.
Hawking, S. W. and Ellis, G. F. R.: The Large Scale Structure of Spacetime, Cambridge University Press, 1973.
Einstein, A.: The Meaning of Relativity, Princeton University Press, 1955.
Gron, O.: Repulsive gravitation and inflationary universe models, Am. J. Phys. 54 (1986), 46–52.
Israelit, M. and Rosen, N.: The Static Character of Prematter Particles, Found. Phys. 22 (1992), 549–554.
Israelit, M. and Rosen, N.: Weylian Dark Matter and Cosmology, Found. Phys. 24 (1994), 901–915.
Misner, C. W., Thorne, K. S., and Wheeler, J. A.: Gravitation, Freeman, San Francisco, 1973.
Bonnor, W. B. and Cooperstock, F. I.: Does the Electron Contain Negative Mass?, Phys. Lett. A 139 (1989), 442–444.
Chow, T. L.: Answer to Question 32 [“How do gravitons interact with black hole?”], Am. J. Phys. 64 (1996), 1449.
Collins, P. D. B., Martin, A. D., and Squires, E. J.: Particle Physics and Cosmology, Wiley, New York, 1989, p. 35.
Argyris, J. and Ciubotariu, C.: Massive gravitons in general relativity, Australian Journal of Physics 50 no.5 (1997) (in course of publication).
Anderson, J. L.: Principles of Relativity Physics, Academic Press, New York, 1967.
Goldhaber, A. S. and Nieto, M. M.: Mass of the graviton, Phys. Rev. 9 (1974), 1119–1121.
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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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