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KEPLERIAN FREQUENCY OF UNIFORMLY ROTATING NEUTRON STARS IN RELATIVISTIC MEAN FIELD THEORY

N. B. ZHANG

School of Space Science and Physics, Shandong University, Weihai 264209, P. R. China

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B. QI

School of Space Science and Physics, Shandong University, Weihai 264209, P. R. China

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S. Y. WANG

School of Space Science and Physics, Shandong University, Weihai 264209, P. R. China

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S. L. GE

School of Space Science and Physics, Shandong University, Weihai 264209, P. R. China

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, and

B. Y. SUN

School of Nuclear Science and Technology, Lanzhou University, Lanzhou 730000, P. R. China

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https://doi.org/10.1142/S0218301313500857Cited by:9 (Source: Crossref)

Abstract

Adopting the equation of states (EOSs) from the relativistic mean field (RMF) theory, the relationships among the keplerian frequency f_K, gravitational mass M and radius R for the rapidly rotating neutron stars with and without hyperons are presented and analyzed. For various RMF EOSs, the empirical formula , proposed by P. Haensel et al. [Astron. Astrophys.502 (2009) 605], is found to be an approximation with the error at most 13% and such approximation is worse for the neutron stars with hyperons. It indicates that the errors should be considered when the empirical formula is used to discuss the properties of neutron stars.

Keywords:

PACS: 21.30.Fe, 21.60.Jz, 26.60.-c, 97.60.Jd

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