For anisotropic quark stars in full general relativity, f-mode frequency scales linearly with the square root of average density, and normalized damping time follows a linear trend with compactness, with anisotropy shifting both relations.
Mean field baryon magnetic moments and sumrules
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abstract
New developments have spurred interest in magnetic moments ($\mu$-s) of baryons. The measurement of some of the decuplet $\mu$-s and the findings of new sumrules from various methods are partly responsible for this renewed interest. Our model, inspired by large colour approximation, is a relativistic self consistent mean field description with a modified Richardson potential and is used to describe the $\mu$-s and masses of all baryons with up (u), down (d) and strange (s) quarks. We have also checked the validity of the Franklin sumrule (referred to as CGSR in the literature) and sumrules of Luty, March-Russell and White. We found that our result for sumrules matches better with experiment than the non-relativistic quark model prediction. We have also seen that quark magnetic moments depend on the baryon in which they belong while the naive quark model expects them to be constant.
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Quasi-normal f-modes of anisotropic quark stars in full general relativity
For anisotropic quark stars in full general relativity, f-mode frequency scales linearly with the square root of average density, and normalized damping time follows a linear trend with compactness, with anisotropy shifting both relations.