Can I read Price's law for spin fields on a Schwarzschild background on EtoBox?

Price's law for spin fields on a Schwarzschild background by Ma, Siyuan; Zhang, Lin is a scholarly article available to read on EtoBox.

What is Price's law for spin fields on a Schwarzschild background about?

In this work, we derive the globally precise late-time asymptotics for the spin-$\mathfrak{s}$ fields on a Schwarzschild background, including the scalar field $(\mathfrak{s}=0)$, the Maxwell field $(\mathfrak{s}=\pm 1)$ and the linearized gravity $(\mathfrak{s}=\pm 2)$. The conjectured Price's law in the physics literature which predicts the sharp rates of decay of the spin $s=\pm \mathfrak{s}$ components towards the future null infinity as well as in a compact region is shown. Further, we confirm the heuristic claim by Barack and Ori that the spin $+1, +2$ components have an extra power of decay at the event horizon than the conjectured Price's law. The asymptotics are derived via a unified, detailed analysis of the Teukolsky master equation that is satisfied by all these components.

Author

Ma, Siyuan; Zhang, Lin

Published

2021

Language

EN