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I-Q relation for rapidly rotating neutron stars
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We consider a universal relation between moment of inertia and quadrupole moment of arbitrarily fast rotating neutron stars. Recent studies suggest that this relation breaks down for fast rotation. We find that it is still universal among various suggested equations of state for constant values of certain dimensionless parameters characterizing the magnitude of rotation. One of these parameters includes the neutron star radius, leading to a new universal relation expressing the radius through the mass, frequency, and spin parameter. This can become a powerful tool for radius measurements.
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Theoretical modeling of approximate universality of tidally deformed neutron stars
The paper analytically derives the universal Love relations for neutron stars and explains their equation-of-state insensitivity through a cancellation mechanism tied to low compressibility.
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