论文标题
相对论恒星的隐形自发纺纱
Stealth spontaneous spinorization of relativistic stars
论文作者
论文摘要
我们研究了一般相对论高密度恒星背景中狄拉克纺纱场的行为，以及自发纺纱的可能性，这类似于自发标量。我们通过插入第五伽玛矩阵$ {\ hatγ}^5 $以及将Dirac Spinor场的共形耦合到物质领域的结构耦合，从而将模型带到了Dirac场的修改动力学术语，这将导致高密度Compact Stellar stellar stellar stellar stellar stellelar背景的Dirac Spinor场的速度。为了获得静态和球形对称溶液，我们必须同时考虑两个狄拉克场。我们表明，在恒定密度恒星背景下，我们的模型带来了带有任何数量的节点的狄拉克纺纱场的非平凡解，其中一种模式的节点比另一个节点多。我们还表明，在领先顺序上，在对两个领域的总结进行了总结后，有效的能量旋转量的所有组成部分都消失了任何可分离的时间依赖时间依赖的dirac Spinor领域的ANSATZ在任何静态和球形时空的背景中，都可以在任何静态的时空中均匀地进行了既定时间的序列，并在任何静态的时间内进行了既定时间的序列，并且在任何静态的旋转过程中都在既定时间进行了既定时间的序列，并在任何静态的时段都进行了刻板的体积。节点，这将被非线性效应淬灭，没有可观察到的效果。
We investigate the behavior of the Dirac spinor fields in general relativistic high density stellar backgrounds and the possibility of spontaneous spinorization which is analogous to spontaneous scalarization. We consider the model with the modified kinetic term of the Dirac field by the insertion of the fifth gamma matrix ${\hat γ}^5$ and the conformal coupling of the Dirac spinor field to the matter sector, which would lead to the tachyonic growth of the Dirac spinor field in the high density compact stellar backgrounds. In order to obtain the static and spherically symmetric solutions, we have to consider the two Dirac fields at the same time. We show that in the constant density stellar backgrounds our model gives rise to the nontrivial solutions of the Dirac spinor fields with any number of nodes, where one mode has one more nodes than the other. We also show that at the leading order all the components of the effective energy-momentum tensor of the Dirac spinor fields, after the summation over the two fields, vanish for any separable time-dependent ansatz of the Dirac spinor fields in any static and spherically symmetric spacetime backgrounds, indicating that spontaneous spinorization takes place as a stealth process in the static and spherically symmetric spacetime with any number of nodes, which would be quenched by nonlinear effects and leave no observable effects.
