Velocity of Propagation of Gravitational Radiation, Mass of the Graviton, Range of the Gravitational Force, and the Cosmological Constant
Einstein’s equations with cosmological constant are considered. With an appropriate set of coordinates, the vacuum equations have the same form as the Klein Gordon Equation.
The range of the gravitational force is the Compton Wavelength of the graviton with rest mass m. The Cosmological Constant is one half the reciprocal of the squared Compton Wavelength.
Limits on the graviton mass are obtained by considering the observational data on the advance of the perihelion of Mercury, the observed gravitational radiation from Supernova 1987A, and the known gravitational binding of clusters of galaxies. The observed pulses from Supernova 1987A are in good agreement with the cross section theory published in 1984 and 1986, and reviewed here.
As first discussed by F. Zwicky, the graviton mass, as deduced from known gravitational binding of clusters of galaxies, is less than 1.2 × 10−63 grams. The Cosmological Constant is less than 6.4 × 10−52 cm−2.
KeywordsCosmological Constant Ricci Tensor Klein Gordon Equation Gravitational Interaction Gravitational Radiation
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