标题： 施瓦茨希尔德空间到 r=0 的扩展 显示英文标题

标题： An Extension of Schwarzschild Space to r=0

摘要： 对施瓦茨希尔德度规的更严格处理，通过利用单个点粒子的能量-动量张量作为源项表明， $g_{00}=-\{1-\frac{2GM}{c^2r}-\frac{8G^2 M^2}{c^4 r^2}(\theta (r)-1)\}\exp [2(\theta (r)-1)]$ $g_{rr}=\{1-\frac{2GM}{c^2r}-\frac{8G^2 M^2}{c^4 r^2}(\theta (r)-1)\}^{-1}$ 在 r=0 处存在不连续性导致无限排斥力，这将改变自由下落测试粒子的最终命运为弹跳状态。 显示英文摘要

摘要： A more rigorous treatment of the Schwarzschild metric by making use of the energy-momentum tensor of a single point particle as source term shows that $g_{00}=-\{1-\frac{2GM}{c^2r}-\frac{8G^2 M^2}{c^4 r^2}(\theta (r)-1)\}\exp [2(\theta (r)-1)]$ $g_{rr}=\{1-\frac{2GM}{c^2r}-\frac{8G^2 M^2}{c^4 r^2}(\theta (r)-1)\}^{-1}$ The existence of a discontinuity at r=0 leads to an infinite repulsive force that will change the ultimate fate of a free fall test particle to a bouncing state.