arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2207.04461gr-qchep-phhep-th
收藏

Horndeski理论中中子星的稳定性

Stability of neutron stars in Horndeski theories with Gauss-Bonnet couplings

Masato Minamitsuji, Shinji Tsujikawa

备注：
27 pages, 5 figures
发表信息：
Phys. Rev. D 106, 064008 (2022)
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

在含有Gauss-Bonnet（GB）曲率不变量$R_{\rm GB}^2$的标量耦合的Horndeski理论中，研究了静态球对称背景下中子星（NS）解的存在性和线性稳定性.对于形式为$αξ(ϕ) R_{\rm GB}^2$的标量-GB耦合，其中$ξ$是标量场$ϕ$的函数，具有非平凡标量轮廓且不存在不稳定性的线性稳定恒星的存在对无量纲耦合常数$|α|$的强度提出了上限。为了实现线性（或电子）GB耦合$α_{\rm GB}ϕR_{\rm GB}^2$与典型核状态方程的最大质量，我们得到了理论上限$\sqrt{|α_{\rm GB}|}<0.7~{\rm km}$。这比观测含有NS的双星发射的引力波所得到的结果更严格。我们还将三阶标量导数的相互作用，四次导数耦合与非最小耦合的Ricci标量除了标量GB耦合，并表明NS解决方案与非平凡的标量配置文件满足所有的线性稳定性条件存在一定范围内的耦合常数。在从Kaluza-Klein约化得到的正则化四维Einstein-GB引力中，我们发现，在这个理论中的NS遭受强耦合问题以及偶宇称扰动的拉普拉斯不稳定性。我们还研究了幂律$F(R_{\rm GB}^2)$模型中具有非平凡标量轮廓的NS解，发现它们在恒星内部是病态的，在恒星外部受到鬼不稳定性和渐近强耦合问题的困扰.

英文摘要：

In Horndeski theories containing a scalar coupling with the Gauss-Bonnet (GB) curvature invariant $R_{\rm GB}^2$, we study the existence and linear stability of neutron star (NS) solutions on a static and spherically symmetric background. For a scalar-GB coupling of the form $αξ(ϕ) R_{\rm GB}^2$, where $ξ$ is a function of the scalar field $ϕ$, the existence of linearly stable stars with a nontrivial scalar profile without instabilities puts an upper bound on the strength of the dimensionless coupling constant $|α|$. To realize maximum masses of NSs for a linear (or dilatonic) GB coupling $α_{\rm GB}ϕR_{\rm GB}^2$ with typical nuclear equations of state, we obtain the theoretical upper limit $\sqrt{|α_{\rm GB}|}<0.7~{\rm km}$. This is tighter than those obtained by the observations of gravitational waves emitted from binaries containing NSs. We also incorporate cubic-order scalar derivative interactions, quartic derivative couplings with nonminimal couplings to a Ricci scalar besides the scalar-GB coupling and show that NS solutions with a nontrivial scalar profile satisfying all the linear stability conditions are present for certain ranges of the coupling constants. In regularized 4-dimensional Einstein-GB gravity obtained from a Kaluza-Klein reduction with an appropriate rescaling of the GB coupling constant, we find that NSs in this theory suffer from a strong coupling problem as well as Laplacian instability of even-parity perturbations. We also study NS solutions with a nontrivial scalar profile in power-law $F(R_{\rm GB}^2)$ models, and show that they are pathological in the interior of stars and plagued by ghost instability together with the asymptotic strong coupling problem in the exterior of stars.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

↑