Page Don N, Shoom Andrey A
Theoretical Physics Institute, University of Alberta, Edmonton, Alberta T6G 2E1, Canada.
Phys Rev Lett. 2015 Apr 10;114(14):141102. doi: 10.1103/PhysRevLett.114.141102. Epub 2015 Apr 8.
Inspired by the example of Abdelqader and Lake for the Kerr metric, we construct local scalar polynomial curvature invariants that vanish on the horizon of any stationary black hole: the squared norms of the wedge products of n linearly independent gradients of scalar polynomial curvature invariants, where n is the local cohomogeneity of the spacetime.
受阿卜杜勒卡迪尔(Abdelqader)和莱克(Lake)针对克尔度规所举例子的启发,我们构造了在任何稳态黑洞视界上消失的局部标量多项式曲率不变量:标量多项式曲率不变量的(n)个线性独立梯度的楔积的平方范数,其中(n)是时空的局部齐性。