论文标题
Schwarzschild时空的脱皮
Peeling for tensorial wave equations on Schwarzschild spacetime
论文作者
论文摘要
在本文中，我们建立了沿传出和传入的径向测量学的渐近行为，即，在Schwarzschild SpaceTime上的张力fackrell-ipper的脱皮特性和旋转$ \ pm 1 $ teukolsky方程。 Our method combines a conformal compactification with vector field techniques to prove the two-side estimates of the energies of tensorial fields through the future and past null infinity $\mathscr{I}^\pm$ and the initial Cauchy hypersurface $Σ_0 = \left\{ t=0 \right\}$ in a neighbourhood of spacelike infinity $i_0$ far away from the horizon以及未来的及时的无限。我们的结果获得了最佳的初始数据，该数据可确保所有订单的剥离。
In this paper, we establish the asymptotic behaviour along outgoing and incoming radial geodesics, i.e., the peeling property for the tensorial Fackrell-Ipser and spin $\pm 1$ Teukolsky equations on Schwarzschild spacetime. Our method combines a conformal compactification with vector field techniques to prove the two-side estimates of the energies of tensorial fields through the future and past null infinity $\mathscr{I}^\pm$ and the initial Cauchy hypersurface $Σ_0 = \left\{ t=0 \right\}$ in a neighbourhood of spacelike infinity $i_0$ far away from the horizon and future timelike infinity. Our results obtain the optimal initial data which guarantees the peeling at all orders.
