An Introduction to Modern Astrophysics · Problem 17.5

Close Binary Star Systems — Carroll & Ostlie

Physics — Astrophysics · general-relativity-neutron-stars

Problem

(a) Estimate the radius of curvature of a horizontally traveling photon at the surface of a 1.4 M⊙1.4\,M_\odot neutron star, and compare the result with the 10-km radius of the star. Can general relativity be neglected when studying neutron stars? (b) If one hour passes at the surface of the neutron star, how much time passes at a great distance? Compare the times obtained from the exact and approximate expressions, Eqs. (17.13) and (17.14), respectively.

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