An Explanation of the Dark Matter Phenomenon and the Pioneer Anomaly as Effects of Relic Gravitational Waves

Astronomy and Astrophysics – Astronomy

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According to model by Gorkavyi (Origin and Acceleration of the Universe without Singularities and Dark Energy, BAAS, 2003, 35, #3) a total energy of relic high-frequency gravitational radiation in our Universe can be very high. Relic plane gravitational waves can interact with stationary gravitational fields of galaxies and stars and create an additional ``relic acceleration'' that proportional to gravitational potential { ˜ GM/(Rc2)} or angle of deflection of waves by a central mass. General equation for Newton and relic acceleration is {F = - ∂ ǎrphi/∂ r + α ǎrphi/c2} (1), where ǎrphi is gravitational potential; α is vector that parallel {∂ ǎrphi/∂ r}; {α ˜ 0.001-1 cm/sec2} and depends from size, density and strength of objects (all bodies in a sea of relic gravitational waves are gravitational detectors). From equation (1) for the anomalous acceleration of Pioneers that close to constant at heliocentric distance r we have: {F = -Gm/r2 - α GM/(Rc2)} (2), where m is solar mass, {GM/(Rc2)} is potential of Galaxy, {α = 0.127 cm/sec2} for solid object of small size like Pioneer. According (1)-(2) Pioneer acceleration depends from constant relativistic potential of Galaxy but is heliocentric due to strong gradient of solar potential. Similar or larger value of α can be for stars and gas clouds, but for solid planets like Earth, α can be few orders smaller due to high density, size larger than typical wavelength of relic gravitational waves, and fast dissipation of small-scale high-frequency mechanical oscillations inside solid body. According (1) relic acceleration for galaxies many times larger than Newton force, for galaxy cluster -- in a few orders. Laboratory experiment can reveal differences { ˜ 10-8 cm/sec2} in acceleration of objects with same mass but different sizes (1 vs. 2 m). Relic acceleration will decrease with a time due to decreasing density of energy of relic gravitational radiation and this effect can be a driver of galactic evolution.

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