Neutron stars in f(R) gravity and scalar-tensor theories

Ryotaro Kase, Shinji Tsujikawa

研究成果: Article査読

22 被引用数 (Scopus)

抄録

In f(R) gravity and Brans-Dicke theory with scalar potentials, we study the structure of neutron stars on a spherically symmetric and static background for two equations of state: SLy and FPS . In massless BD theory, the presence of a scalar coupling Q with matter works to change the star radius in comparison to General Relativity, while the maximum allowed mass of neutron stars is hardly modified for both SLy and FPS equations of state. In Brans-Dicke theory with the massive potential V(φ)=m2 φ2/2, where m2 is a positive constant, we show the difficulty of realizing neutron star solutions with a stable field profile due to the existence of an exponentially growing mode outside the star. As in f(R) gravity with the R2 term, this property is related to the requirement of extra boundary conditions of the field at the surface of star. For the self-coupling potential V(φ)=λ φ4/4, this problem can be circumvented by the fact that the second derivative V,φ φ=3λφ2 approaches 0 at spatial infinity. In this case, we numerically show the existence of neutron star solutions for both SLy and FPS equations of state and discuss how the mass-radius relation is modified as compared to General Relativity.

本文言語English
論文番号054
ジャーナルJournal of Cosmology and Astroparticle Physics
2019
9
DOI
出版ステータスPublished - 2019 9月 26
外部発表はい

ASJC Scopus subject areas

  • 天文学と天体物理学

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