Apparent radii of neutron stars and equation of state of dense matter

Details Apparent radii of neutron stars and equation of state of dense matter Apparent radii of neutron stars and equation of state of dense matter

2001-05-28

arxiv.org/abs/astro-ph/0105485v2

Astronomy and Astrophysics

Astrophysics

4 pages, 2 figures, latex, uses aa.cls, to be published in Astronomy and Astrophysics

Scientific paper

10.1051/0004-6361:20011358

Apparent (radiation) radius of neutron star,R_\infty, depends on the star gravitational mass in quite a different way than the standard coordinate radius in the Schwarzschild metric, R. We show that, for a broad set of equations of state of dense matter, R_\infty(M_max) for the configurations with maximum allowable masses is very close to the absolute lower bound on R_\infty at fixed M, resulting from the very definition of R_\infty. Also, the value of R_infty at given M, corresponding to the maximum compactness (minimum R) of neutron star consistent with general relativity and condition v_sound

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