论文标题

在重力理论中,具有非最小衍生耦合理论中的抗DE保姆中子星星

Anti-de Sitter neutron stars in the theory of gravity with nonminimal derivative coupling

论文作者

Kashargin, Pavel E., Sushkov, Sergey V.

论文摘要

我们考虑了标量调整的重力理论中的中子恒星构型,并在标量场的动力学项和爱因斯坦张量之间的耦合(这种模型是Horndeski Gravity的子类)。该模型中的中子星早先研究了特殊情况,其消失了``裸''宇宙常数,$λ_0= 0 $,并且标准动力学术语消失了,$α= 0 $。这种特殊情况很感兴趣,因为它可以接受所谓的隐形配置,即带有非平凡标量字段和Schwarzschild指标的真空配置。但是,通常一个具有$λ_0\ not = 0 $和$α\ not = 0 $,在这种情况下,真空配置被表示为具有非平量标量的渐近性抗DE安慰剂(ADS)黑洞解决方案。我们在这种一般情况下构建了中子星形配置,并表明描述恒星质量和半径之间的关系的结果图与GR或特定模型中的质量差异基本不同,$α=λ_0= 0 $。取而代之的是,当恒星半径随着质量降低而单调降低时,质量拉迪乌斯图与所谓的裸露恒星获得的质量图相似。我们还表明,与GR或具有$α=λ_0= 0 $的特定模型相比,具有非微生导数耦合的重力理论中的中子星更紧凑,并提出了一种估计非微耦合$ \ ell $的参数值的方法。 {\ color {red}终于使用regge-wheeler方法,简要讨论获得的中子星形配置的稳定性。

We consider neutron star configurations in the scalar-tensor theory of gravity with the coupling between the kinetic term of a scalar field and the Einstein tensor (such the model is a subclass of Horndeski gravity). Neutron stars in this model were studied earlier for the special case with a vanishing ``bare'' cosmological constant, $Λ_0=0$, and a vanishing standard kinetic term, $α=0$. This special case is of interest because it admits so-called stealth configuration, i.e. vacuum configuration with nontrivial scalar field and the Schwarzschild metric. However, generally one has $Λ_0\not=0$ and $α\not=0$ and in this case a vacuum configuration is represented as an asymptotically anti-de Sitter (AdS) black hole solution with the nontrivial scalar field. We construct neutron star configurations in this general case and show that resulting diagrams describing the relation between mass and radius of the star essentially differ from those obtained in GR or the particular model with $α=Λ_0=0$. Instead, the mass-radius diagrams are similar to those obtained for so-called bare strange stars when a star radius decreases monotonically with decreasing mass. We show also that neutron stars in the theory of gravity with nonminimal derivative coupling are more compact comparing to those in GR or the particular model with $α=Λ_0=0$ and suggest a way to estimate possible values of the parameter of nonminimal coupling $\ell$. {\color{red} At last, using the Regge-Wheeler method, we discuss briefly the stability of obtained neutron star configurations.

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