论文标题
具有非微小耦合的中子星附近的对称性恢复
Symmetry restoration in the vicinity of neutron stars with a nonminimal coupling
论文作者
论文摘要
我们提出了一个新的标量中子星（NSS）的新模型，该模型是由自我相互作用的标量场$ ϕ $非微耦合到表格$ f（ϕ）r $的RICCI标量$ r $的。标量场具有自相互作用的潜力，并处于其真空期望值$ ϕ_v $远离源的真空期望值。在NS内部，积极的非微小耦合在负质量平方上的主要耦合的主导地位导致对称恢复，中央场值$ ϕ_c $接近$ 0 $。这允许存在将$ ϕ_v $与$ ϕ_c $连接的标量ns解决方案的存在，而$ ϕ_c $的差异很大，而该字段位于弱引力星的附近$ ϕ = ϕ_v $的附近。 NSS的Arnowitt-Deser-Misner质量和半径以及NS表面周围的重力可以从标量头发中接收相当大的校正，同时满足太阳系中的局部重力约束。与负非微小耦合引起的自发标量的原始情况不同，宇宙学解决方案的灾难性不稳定。我们还研究了从通货膨胀时期到今天的宇宙学动力学，并表明标量场$ ϕ $最终接近渐近值$ ϕ_v $，而不会破坏成功的宇宙学演化。 $ ϕ $开始振荡潜在的最低限度后，同一字段也可能是冷暗物质的来源。
We propose a new model of scalarized neutron stars (NSs) realized by a self-interacting scalar field $ϕ$ nonminimally coupled to the Ricci scalar $R$ of the form $F(ϕ)R$. The scalar field has a self-interacting potential and sits at its vacuum expectation value $ϕ_v$ far away from the source. Inside the NS, the dominance of a positive nonminimal coupling over a negative mass squared of the potential leads to a symmetry restoration with the central field value $ϕ_c$ close to $0$. This allows the existence of scalarized NS solutions connecting $ϕ_v$ with $ϕ_c$ whose difference is significant, whereas the field is located in the vicinity of $ϕ=ϕ_v$ for weak gravitational stars. The Arnowitt-Deser-Misner mass and radius of NSs as well as the gravitational force around the NS surface can receive sizable corrections from the scalar hair, while satisfying local gravity constraints in the Solar system. Unlike the original scenario of spontaneous scalarization induced by a negative nonminimal coupling, the catastrophic instability of cosmological solutions can be avoided. We also study the cosmological dynamics from the inflationary epoch to today and show that the scalar field $ϕ$ finally approaches the asymptotic value $ϕ_v$ without spoiling a successful cosmological evolution. After $ϕ$ starts to oscillate about the potential minimum, the same field can also be the source for cold dark matter.
