943 research outputs found

### Constraints on neutron star radii based on chiral effective field theory interactions

We show that microscopic calculations based on chiral effective field theory
interactions constrain the properties of neutron-rich matter below nuclear
densities to a much higher degree than is reflected in commonly used equations
of state. Combined with observed neutron star masses, our results lead to a
radius R = 9.7 - 13.9 km for a 1.4 M_{solar} star, where the theoretical range
is due, in about equal amounts, to uncertainties in many-body forces and to the
extrapolation to high densities.Comment: 4 pages, 4 figures; NORDITA-2010-4

### Keplerian frequency of uniformly rotating neutron stars and quark stars

We calculate Keplerian (mass shedding) configurations of rigidly rotating
neutron stars and quark stars with crusts. We check the validity of empirical
formula for Keplerian frequency, f_K, proposed by Lattimer & Prakash, f_K(M)=C
(M/M_sun)^1/2 (R/10km)^-3/2, where M is the (gravitational) mass of Keplerian
configuration, R is the (circumferential) radius of the non-rotating
configuration of the same gravitational mass, and C = 1.04 kHz. Numerical
calculations are performed using precise 2-D codes based on the multi-domain
spectral methods. We use a representative set of equations of state (EOSs) of
neutron stars and quark stars. We show that the empirical formula for f_K(M)
holds within a few percent for neutron stars with realistic EOSs, provided 0.5
M_sun < M < 0.9 M_max,stat, where M_max,stat is the maximum allowable mass of
non-rotating neutron stars for an EOS, and C=C_NS=1.08 kHz. Similar precision
is obtained for quark stars with 0.5 M_sun < M < 0.9 M_max,stat. For maximal
crust masses we obtain C_QS = 1.15 kHz, and the value of C_QS is not very
sensitive to the crust mass. All our C's are significantly larger than the
analytic value from the relativistic Roche model, C_Roche = 1.00 kHz. For 0.5
M_sun < M < 0.9 M_max,stat, the equatorial radius of Keplerian configuration of
mass M, R_K(M), is, to a very good approximation, proportional to the radius of
the non-rotating star of the same mass, R_K(M) = aR(M), with a_NS \approx a_QS
\approx 1.44. The value of a_QS is very weakly dependent on the mass of the
crust of the quark star. Both a's are smaller than the analytic value a_Roche =
1.5 from the relativistic Roche model.Comment: 6 pages, 6 color figures, submitted to A&

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