Experimental tests of a new theory of gravitation

Abstract

The predictions for the perihelion shift, the deflection of light, and the delay time of a light ray are calculated in the nonsymrnetric theory of gravitation. An upper bound for the parameter /(that occurs as a constant of integration in the static, spherically symmetric solution of the field equations) is obtained for the sun for the experimental value of the perihelion shift of Mercury, yielding (lol I (2.92 f 0.10) x lo3 krn. The upper bound on llol obtained from the Viking spacecraft time-delay experiment is ( l o l l 1.13 x lo4 krn. For llol I 2.92 x lo3 krn, we find that the theory is consistent with the standard relativistic experiments for the solar system. The theory predicts that the perihelion of a satellite could reverse its direction of precession if it orbits close enough to the sun. The results for a highly eccentric satellite orbit are calculated in terms of the value llol = 2.92 x lo3 km.On calcule, dans le cadre de la theorie non syrnetrique de la gravitation, des predictions pour le diplacement du perihelie, la deflexion de la lurniere et le retard d'un rayon lurnineux. On trouve pour le soleil, a partir de la valeur experimentale du deplacement du perihelie de Mercure, une lirnite superieure pour le pararnetre 1 (qui apparait cornrne une constante d'integration dans la solution statique a symetrie spherique des equationsdu champ), Ilo( I (2,92 k 0,lO) x 10' km. La limite superieure de Il0( fournie par I'experience de dklai ternporel effectuee avec le satellite Viking est (lol I 1,13 x lo4 km. Pour (lo/ I 2,92 x IO'krn, nous trouvons que la theorie est compatible avec les experiences relativistes standard pour le systerne solaire. La theorie predit que la precession du perihelie d'un satellite pourrait changer de sens, si I'orbite de ce satellite s'approche suffisamrnent du soleil. Les rtsultats concernant une orbite de satellite a tres grande excentricit6 sont calcules en termes de la valeur 1131 = 2,92 x lo3 km.Can. J . Phys.. 59,283 (1981) [Traduit par le journall

The early universe in a generalized theory of gravitation

“…+ (-g)"2g"aT,,,,].,, to be consistent with all known relativity experiments + g"",,(-g)"'~,,. = 0 (6,9,10).…”

Fundamentals of Universal Gravitation

“…We reason as follows: the gravitating envelope is held in an inertial rest frame by the combined scalar fields |𝐺𝐺 𝛤𝛤(𝑤𝑤 ) + 𝐺𝐺 𝑃𝑃 + 𝐺𝐺 𝑣𝑣 + 𝑔𝑔 𝑝𝑝 |, it acquires gravitational acceleration upon coupling to 𝑔𝑔 𝑤𝑤 = (𝑚𝑚 𝑤𝑤 𝑟𝑟 𝑤𝑤 2 𝜔𝜔 𝑤𝑤 ) 0.25 𝜋𝜋𝜋𝜋 𝑜𝑜 0.25 (5), where 𝑟𝑟𝜔𝜔 = 𝜋𝜋𝜋𝜋 𝑜𝑜 = 𝑣𝑣 𝑜𝑜 [6]. Observe that the force field couplings defined in eqs.…”

“…Classical investigation reveals that, although it is unquestionably valid, (1) is unavoidably misleading; it creates the notion that gravitation is an action of particulate matter [4]. This notion might have influenced the consensus that its wider applications failed to meet the criteria for a valid theory of gravitation, the minimum requirement, of course, includes prediction of mercury's perihelion shift, explanation for deflection of light grazing a large cosmological body, and explanation for the Viking spacecraft time-delay experiment [5].…”

Post-Newtonian approximation of a new theory of gravity

“…For "anti-test bodies" Ip2 -> -Ip2, and while giving [8.13] (9) for gravity with a nonsymmetric metric has been de-I, I (2.92 f 0.10) x lo3 km. If a test particle were veloped.…”

“…By adjusting the value of e (by sending up a satellite in a highly elliptical orbit, for example), it is possible to experimentally distinguish between [3.17] and [5.17]. If [3.17] is true, it is possible for A@, to be zero by correctly choosing L and e (9). It has already been mentioned4 that the PN expansion developed here may be used to calculate the bending of light, and that the results agree with present-day data on the solar system (9), provided 11, 1 5 1.9 x lo4 km.…”