Equivalence principle for massive bodies in a generalized theory of gravitation. II

McDow, J. C.; Moffat, J. W.

doi:10.1139/p82-209

Cited by 8 publications

(5 citation statements)

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“…18). Nonsymmetric gravitational theory is in agreement with all present-day gravitational experiments (18)(19)(20)(21)(22)(23)(24)(25)(26). The weak-field behaviour of N.G.T.…”

Section: Introductionsupporting

confidence: 79%

“…A conserved U(1) current is also introduced that couples to the metric without violating the equivalence principle; this current is interpreted to be a conserved number current (or fermion current) (28). In general, these constraints are quite weak (18)(19)(20)(21)(22)(23)(24)(25)(26)(27)(28)31). For example, the static, spherically symmetric solution is (39,40) The parameter l2 in [15] is the "charge" related to the aforementioned conserved particle number current in the usual way.…”

Section: Interpretation and Phenomenologymentioning

confidence: 99%

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Gravity, ghosts, and strings

Mann¹

1986

Can. J. Phys.

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A recently introduced technique for extending general relativity is reviewed. This technique, called algebraic extension, yields five theories of gravitation (one of which is Einstein's) that might have interesting implications for strong-field gravitational physics. The particle spectra of these theories are presented. Only one of the four extensions is free of ghosts and tachyons. There exists a (hitherto unexplored) formulation of this theory that contains a gauge-invariant string Lagrangian in the linear approximation.On examine une technique introduite rkcemment pour l'extension de la relativitk gknkrale. Cette technique, appelke extension algkbrique, donne cinq theories de la gravitation (dont l'une est celle d'Einstein), qui pourraient avoir des implications intkressantes pour la physique gravitationnelle en champ fort. Le spectre de particules de ces theories est prCsentC: seulement une des quatre extensions est exempte de fant6mes et de tachyons. I1 existe une formulation (non encore explorke) de cette thkorie qui contient un lagrangien de corde invariant de jauge dans l'approximation linkaire.[Traduit par la revue]Can.

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“…18). Nonsymmetric gravitational theory is in agreement with all present-day gravitational experiments (18)(19)(20)(21)(22)(23)(24)(25)(26). The weak-field behaviour of N.G.T.…”

Section: Introductionsupporting

confidence: 79%

Section: Interpretation and Phenomenologymentioning

confidence: 99%

Gravity, ghosts, and strings

Mann¹

1986

Can. J. Phys.

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“…The latest accurate data obtained from radar ranging to the Viking spacecraft 31 yield the upper bound Z 0^ 1.13 xlO 4 km. A calculation of the Nordtvedt effect in NGT 11 shows that the two PPN parameters r\ and f that occur in the calculations are zero, leading to a result consistent with a null variation in the Earth-Moon distance. 23 From these results we see that with Z 0 =(3.1 ± 0.4) x 10 3 km a fit can be obtained in NGT to all the solar system data, including the precessions of the perihelia of Mercury, Icarus, Venus, Earth, and Mars, taking into account the new value of J 2 .…”

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confidence: 73%

Consequences of a New Experimental Determination of the Quadrupole Moment of the Sun for Gravitation Theory

Moffat

1983

Phys. Rev. Lett.

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Ontario M5S1A7, CanadaA preliminary experimental determination by Hill, Bos, and Goode of the interior rotation of the sun leads to a nonzero value for the quadrupole moment coefficient J 2 -This produces a deviation of 1.6% from Einstein's prediction of the precession of the perihelion of Mercury. A nonsymmetric gravitational theory can fit the measured precession with this J 2 and all other solar-system relativity experiments for one value of a post-Newtonian parameter in the theory. A prediction is made for the perihelion precession of Icarus.

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“…The transformation can be done in a similar way by using a postnewtonian approximation in this theory (Ref. ). This theory has a well defined Cauchy initial problem (Ref.…”

Section: A Disturbed Hyperbolic Orbit In the Solar Systemmentioning

confidence: 99%

Pioneer 10 and 11 Spacecraft Anomalous Acceleration in the light of the Nonsymmetric Kaluza–Klein (Jordan–Thiry) Theory

Kalinowski

2015

Fortschritte der Physik

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The Nonsymmetric Kaluza–Klein (Jordan–Thiry) Theory leads to a model of a modified acceleration that can fit an anomalous acceleration experienced by the Pioneer 10 and 11 spacecraft. The future positions of those spacecrafts are predicted using distorted hyperbolic orbit. A connection between an anomalous acceleration and a Hubble constant is solved in the theory together with a relation to a cosmological constant in CDMΛ model. In the paper we consider an exact solution of a point mass motion in the Solar System under an influence of an anomalous acceleration. We find two types of orbits: periodic and chaotic. Both orbits are bounded. This means there is no possibility to escape from the Solar System. Some possibilities to avoid this conclusion are considered. We resolve also a coincidence between an anomalous acceleration and the cosmological constant using a paradigm of modern cosmology. Relativistic effects and a cosmological drifting of a gravitational constant are considered. The model of an anomalous acceleration does not cause any contradiction with Solar System observations. We give a full statistical analysis of the model. We consider also a full formalism of the Nonsymmetric Jordan–Thiry Theory for the problem and present a relativistic model of an anomalous acceleration. We consider the model for General Relativity approximation, i.e. gμν≠ημν (gμν=gνμ). In this model there are no contradictions with General Relativity tests in the Solar System. Pioneer 10/11 spacecrafts will come back in 106 years (a time scale of our periodic solutions is 106 years). Moreover, almost relativistic or relativistic spacecrafts can escape from the Solar System. We consider also a model of a relativistic acceleration which is more complicated, with gμν≠gνμ taken into account.

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Equivalence principle for massive bodies in a generalized theory of gravitation. II

Abstract: The three-body equations of motion are examined for periodic perturbations in an earth centered coordinate frame. The lunar-laser-ranging data is then used to place upper bounds on the new l parameters associated with the earth and sun.

Cited by 8 publications

References 0 publications

Gravity, ghosts, and strings

Gravity, ghosts, and strings

Consequences of a New Experimental Determination of the Quadrupole Moment of the Sun for Gravitation Theory

Pioneer 10 and 11 Spacecraft Anomalous Acceleration in the light of the Nonsymmetric Kaluza–Klein (Jordan–Thiry) Theory

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