On the Possibility to Explain "The Pioneer Anomaly" within the Framework of Conformal Geometrodynamics

Details On the Possibility to Explain "The Pioneer Anomaly" within the Framework of Conformal Geometrodynamics On the Possibility to Explain "The Pioneer Anomaly" within the Framework of Conformal Geometrodynamics

2005-09-06

arxiv.org/abs/gr-qc/0509017v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, LaTeX2e

Scientific paper

Einstein-Infeld-Hoffmann method is used to solve the problem of motion of two bodies when the equations of general relativity are of the generalized form: they have been reduced to a form invariant under conformal transformations. It is proved that not only metric degrees of freedom, but also derivatives of vector $A_{\alpha}$ appearing in the generalized equations can exert influence on the motion of bodies in a certain space-time domain. This influence can account for the recently observed anomalous acceleration of spacecrafts Pioneer 10, Pioneer 11. The impact of vector $A_{\alpha}$ on the motion of bodies is interpreted as a consequence of viscosity in geometrodynamic continuum.

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