论文标题
修饰重力中固定和轴对称溶液的异常转化
Disformal transformation of stationary and axisymmetric solutions in modified gravity
论文作者
论文摘要
扩展标量调整和矢量调节理论分别具有标量和矢量场的非平凡曲线的黑洞溶液。 DISFORNGAL转换将标量调整或矢量调整理论类别的解决方案映射到另一个类别中的解决方案，因此，它可以是从已知的构造新的非平凡解决方案的有用工具。首先，我们研究了矢量调节理论中的固定和轴对称解，没有$ u（1）$量规对称性。我们从满足循环条件的固定和轴对称溶液开始，并表明在这两种情况下，通常，溶液的度量标准都不满足圆形条件。利用一个事实：在一类消失场强度的矢量调节理论中的解决方案在一类移动对称的标量张态理论中映射到了，我们得出了这些理论中的静态固定固定和轴对称溶液，并且如果偏离的解决方案的指标不满意，则在时间上不满意的情况下，均不满意。我们还确认在标量调整的理论中，没有移位对称性，构造的固定溶液和轴对称溶液满足循环条件。其次，我们研究了广义的Proca理论中固定和轴对称黑洞溶液的异常转化，并与爱因斯坦张量非微小耦合，即偏移对称标量张量，与非微无衍生的衍生量耦合到爱因斯坦量调整的界面理论，Einstein-Maxwell理论和EIN-MAXWELL理论，Ein-Maxwell-contrality contormantial contormant contorme。我们表明，异形转换改变了时空的因果特性。
The extended scalar-tensor and vector-tensor theories admit black hole solutions with the nontrivial profiles of the scalar and vector fields, respectively. The disformal transformation maps a solution in a class of the scalar-tensor or vector-tensor theories to that in another class, and hence it can be a useful tool to construct a new nontrivial solution from the known one. First, we investigate how the stationary and axisymmetric solutions in the vector-tensor theories without and with the $U(1)$ gauge symmetry are disformally transformed. We start from a stationary and axisymmetric solution satisfying the circularity conditions, and show that in both the cases the metric of the disformed solution in general does not satisfy the circularity conditions. Using the fact that a solution in a class of the vector-tensor theories with the vanishing field strength is mapped to that in a class of the shift-symmetric scalar-tensor theories, we derive the disformed stationary and axisymmetric solutions in a class of these theories, and show that the metric of the disformed solutions does not satisfy the circularity conditions if the scalar field depends on the time or azimuthal coordinate. We also confirm that in the scalar-tensor theories without the shift symmetry, the disformed stationary and axisymmetric solutions satisfy the circularity conditions. Second, we investigate the disformal transformations of the stationary and axisymmetric black hole solutions in the generalized Proca theory with the nonminimal coupling to the Einstein tensor, the shift-symmetric scalar-tensor theory with the nonminimal derivative coupling to the Einstein tensor, the Einstein-Maxwell theory, and the Einstein-conformally coupled scalar field theory. We show that the disformal transformations modify the causal properties of the spacetime.
