|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'504'585
Articles rated: 2609
25 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Keplerian frequency of uniformly rotating neutron stars and quark stars | | P. Haensel
; J.L. Zdunik
; M. Bejger
; J.M. Lattimer
; | | Date: |
9 Jan 2009 | | Abstract: | 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. | | Source: | arXiv, 0901.1268 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER