Rotational Splitting of Global Solar Oscillations and Its Relevance to Tests of General Relativity

Physics

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Scientific paper

The estimation of the sun's internal angular velocity using rotational splitting of low-order, low-degree global oscillations in the limb-darkening function is reviewed. Observed spatial properties of the eigenfunctions confirm the multiplet classifications previously identified by the existence of Zeeman-like frequency patterns characteristic of rotational splitting. From the observed rotational splitting, a sidereal rotational frequency of ≥3.0 μ Hz is derived for the deep interior; this value is more than six times greater than the equatorial rotational frequency of the photosphere. Upper limits have also been estimated for the internal magnetic field by analyzing the splitting for departures from uniform spacing. The inferred angular velocity distribution, together with the estimated upper limit on the internal magnetic field, yield a gravitational quadrupole moment, J 2 of (5.5±1.3)×10-6. When this result is combined with different published results from planetary radar observations, values of 0.987±0.006 and 0.991±0.006 are obtained for (2+2γ-β)/3, a combination of Eddington-Robertson PPN parameters which in general relativity takes the value of 1.

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