论文标题
圆柱对称时空中的纺纱器
Spinors in cylindrically symmetric space-time
论文作者
论文摘要
我们研究了在静态圆柱体对称时空范围内非线性旋转场的行为。发现在这种情况下,纺纱场的能量量张量(EMT)具有非平凡的非核分子成分。 EMT的非对角性成分的存在会在时空几何形状或纺纱场或两者的组件上施加三路限制。应当指出的是,当非线性旋转型场被用作Bianchi I型宇宙学模型给出的引力场的来源时,类似情况就发生在宇宙学中。
We studied the behavior of nonlinear spinor field within the scope of a static cylindrically symmetric space-time. It is found that the energy-momentum tensor (EMT) of the spinor field in this case possesses nontrivial non-diagonal components. The presence of non-diagonal components of the EMT imposes three-way restrictions wither on the space-time geometry or on the components of the spinor field or on both. It should be noted that analogical situation occurs in cosmology when nonlinear spinor field is exploited as a source of gravitational field given by Bianchi type-I cosmological model.