海森動量-能量張量的愛因斯坦方程式

Abstract

在這篇論文中，我們研究的是愛因斯坦方程式。當時空座標為邦迪座標時，我們可以在適當的條件下找出精確解使得黎奇曲率與海森張量相等。此外，我們也把這個解跟一些已知的時空做比較。

In this thesis, we study the Einstein field's equations where the Ricci tensor equals to the hessian of a scalar function. We can solve this type of Einstein field's equations under suitable assumption when our spacetime admits a Bondi coordinate. We also compare our solution with other classical solutions such as Minkowski spacetime or Schwarzschild spacetime.