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

Moffat, J. W.

doi:10.1103/physrevlett.50.709

Cited by 39 publications

(14 citation statements)

References 36 publications

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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%

“…The only constraint on 1 comes from the data on the periastron shift of Mercury, yielding as an upper bound; when this upper bound for lo holds, N.G.T. is in agreement with all other solar-system tests (24,31,41).…”

Section: Interpretation and Phenomenologysupporting

confidence: 66%

“…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 Phenomenologysupporting

confidence: 66%

Section: Interpretation and Phenomenologymentioning

confidence: 99%

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Gravity, ghosts, and strings

Mann¹

1986

Can. J. Phys.

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“…The PN equation in NGT differs from that of GR, especially for perihelia movement (Ref. ). The Einstein–Cartan theory (see Ref.…”

Section: A Disturbed Hyperbolic Orbit In the Solar Systemmentioning

confidence: 99%

“…If we use a spherical stationary solution from NGT (see Ref. ),

\begin{matrix} true \\ right d s^{2} & = & left c^{2} 3 (1 + \frac{ℓ^{4}}{r^{4}} 3) 3 (1 - \frac{2 k^{2}}{c^{2} r} 3) d t^{2} - 3 {(1 - \frac{2 k^{2}}{c^{2} r} 3)}^{- 1} d r^{2} \\ left - r^{2} (d θ^{2} + {prefixsin}^{2} θ d θ^{2}) \end{matrix}

\begin{matrix} true \\ g_{[14]} = \frac{ℓ^{2}}{r^{2}}, \end{matrix}

one gets

\frac{d^{2} u}{d φ^{2}} + u = \frac{k^{2}}{A^{2}} + 3 \frac{k^{2}}{c^{2}} u^{2} + \frac{2 ℓ^{4} c^{2}}{A^{2}} u^{3} + \frac{b}{A^{2} u^{2}} .

ℓ is a constant from NGT equal to a fermion charge of a source. We are using an approximation of an anomalous acceleration for

r > 20 A U

.…”

Section: Relativistic Effectsmentioning

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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Spontaneous Symmetry Breaking and Higgs' Mechanism in the Nonsymmetric Jordan-Thiry Theory

Kalinowski

1986

Fortschr. Phys.

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In the paper we construct the nonsymmetric Jordan‐Thiry theory unifying Moffat's theory of gravitation, the Yang‐Mills' field, the Higgs' fields and scalar forces in a geometric manner. We discuss spontaneous symmetry breaking, the Higgs' mechanism and mass generation in the theory. The scalar field Ψ (as in classical Jordan‐Thiry theory) is connected to the effective gravitational constant. This field is massive and has Yukawa‐type behavior. We discuss the relation between R+ invariance and U(1)F from G. U. T. within Einstein λ‐transformation, and fermion number conservation. In this way we connect W μ‐field from nonsymmetric theory of gravitation with a gauge field A μF from G. U. T. We derive the equation of motion for a test particle from conservation laws in the hydrodynamic limit.

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

Cited by 39 publications

References 36 publications

Gravity, ghosts, and strings

Gravity, ghosts, and strings

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

Spontaneous Symmetry Breaking and Higgs' Mechanism in the Nonsymmetric Jordan-Thiry Theory

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