论文标题
Schwarzschild黑洞时空的恒定质量方面功能叶面的线性扰动
Linearised perturbation of constant mass aspect function foliation in Schwarzschild black hole spacetime
论文作者
论文摘要
我们研究了施瓦茨柴尔兹黑洞时空中恒定质量方面功能叶面的线性化扰动。特别是，我们研究了无限无限叶的渐近几何形状的线性化扰动。我们表明，有一个4维线性空间，用于事件范围内的初始叶子的线性化扰动，这对应于null Infinity的渐近几何形状的线性性扰动，以圆形为圆形。对于在此4维线性空间中初始叶片的这种线性化扰动，我们计算了零无穷大的能量摩托载体和邦迪质量的相应线性化扰动。我们表明，邦迪能量和邦德质量的线性扰动都消失了，并且可以通过在4维线性空间中的初始叶片的线性化扰动来实现线性动量的每种可能的线性扰动。
We study the linearised perturbation of the constant mass aspect function foliation in a Schwarzschild black hole spacetime. In particular, we investigate the linearised perturbation of the asymptotic geometry of the foliation at null infinity. We show that there is a 4-dimensional linear space for the linearised perturbation of the initial leaf inside the event horizon, corresponding to which the linearised perturbation of the asymptotic geometry of the foliation at null infinity is preserved to be round. For such a linearised perturbation of the initial leaf in this 4-dimensional linear space, we calculate the corresponding linearised perturbation of the energy-momentum vector and the Bondi mass at null infinity. We show that the linearised perturbations of the Bondi energy and the Bondi mass both vanish, and every possible linearised perturbation of the linear momentum can be achieved by a linearised perturbation of the initial leaf in the 4-dimensional linear space.
