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arXiv 2004.03956gr-qcastro-ph.HE
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张量-多标量引力理论中非拓扑自发标度化的中子星

Non-topological spontaneously scalarized neutron stars in tensor-multi-scalar theories of gravity

Daniela D. Doneva, Stoytcho S. Yazadjiev

摘要:

在本文中,我们数值地构造了新的非拓扑的,自发标度化的中子星,其目标空间是一个三维的最大对称空间,即$\mathbb{S}^3$,$\mathbb{H}^3$或$\mathbb{R}^3$,并在一个非平凡的映射$φ: \text{\it spacetime} \to \text{\it target space}$的情况下。允许标量化的引力理论的特点是:场方程总是允许广义相对论解,但在参数空间的一定范围内,它失去稳定性,并观察到标量场的非线性发展。因此,为了确定这样的标量化是可能的参数的值,我们研究了所考虑的张量多标量理论的框架内的广义相对论解的稳定性。基于这些结果,我们可以得到一族以标量场节点数为特征的标量化分支。这些分支从广义相对论解的分叉点处出现新的不稳定模式,它们在能量上比纯爱因斯坦解更有利。有趣的是,在一定的参数范围内,我们可以得到非唯一性的一个分支的标量解。

英文摘要:

In the present paper, we numerically construct new non-topological, spontaneously scalarized neutron stars in the tensor-multi-scalar theories of gravity whose target space is a three-dimensional maximally symmetric space, namely either $\mathbb{S}^3$, $\mathbb{H}^3$ or $\mathbb{R}^3$, and in the case of a nontrivial map $φ: \text{\it spacetime} \to \text{\it target space}$. The theories of gravity admitting scalarization are characterized by the fact that the field equations always admit the general relativistic solution but for certain ranges of the parameters space it loses stability and nonlinear development of a scalar field is observed. Thus, in order to determine the values of the parameters where such scalarization is possible we studied the stability of the general relativistic solution within the framework of the considered tensor-multi-scalar theories. Based on these results we could obtain a family of scalarized branches characterized by the number of the scalar field nodes. These branches bifurcate from the general relativistic solution at the points where new unstable modes appear and they are energetically more favorable over the pure Einstein solutions. Interestingly, in certain parameter ranges, we could obtain non-uniqueness within a single branch of scalarized solutions.

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。

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