Comment on "Tidal Love numbers of neutron and self-bound quark stars"

Abstract

We comment on the paper of S. Postnikov et al. in Phys. Rev. D 82, 024016 (2010) and give a modified formula that needs to be taken into account when calculating the tidal Love number of neutron stars in case a first order phase-transition occurs at non-zero pressure. We show that the error made when using the original formula tends to zero as $p\to 0$ and we estimate the maximum relative error to be $\sim 5\%$ if the density discontinuity is at larger densities.

arXiv comment3 pages, 3 figures

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• Core-collapse supernova equations of state based on neutron star observations
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• Generic conditions for stable hybrid stars
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• Studying strong phase transitions in neutron stars with gravitational waves
• Treating quarks within neutron stars

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