Comment on “Tidal Love numbers of neutron and self-bound quark stars”
János Takátsy, Péter Kovács
Abstract
We comment on the paper of S. Postnikov et al. [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 nonzero pressure. We show that the error made when using the original formula tends to zero as $p\ensuremath{\rightarrow}0$, and we estimate the maximum relative error to be $\ensuremath{\sim}5%$ if the density discontinuity is at larger densities.
Topics & Concepts
Neutron starPhysicsDiscontinuity (linguistics)Order (exchange)Strange matterParticle physicsUpper and lower boundsStarsZero (linguistics)QuarkMathematical physicsMathematicsAstrophysicsMathematical analysisPhilosophyEconomicsLinguisticsFinancePulsars and Gravitational Waves ResearchGeophysics and Gravity MeasurementsHigh-pressure geophysics and materials