Price's Law for Spin Fields on a Schwarzschild Background

被引：6

作者：

Ma, Siyuan ^{[1
,2
]}

Zhang, Lin ^{[3
]}

机构：

[1] Sorbonne Univ, Lab Jacques Louis Lions, Campus Jussieu,4 Pl Jussieu, F-75005 Paris, France

[2] Max Planck Inst Gravitat Phys, Muhlenberg 1, D-14476 Potsdam, Germany

[3] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

来源：

ANNALS OF PDE | 2022年 / 8卷 / 02期

关键词：

Price's law; Teukolsky master equation; Late-time asymptotics; Schwarzschild spacetime; Newman-Penrose constant; RELATIVISTIC GRAVITATIONAL COLLAPSE; SEMILINEAR WAVE-EQUATION; ROTATING BLACK-HOLE; MAXWELL FIELD; SPACE-TIME; NONSPHERICAL PERTURBATIONS; MORAWETZ ESTIMATE; MODE-STABILITY; DECAY; ENERGY;

D O I：

10.1007/s40818-022-00139-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we derive the globally precise late-time asymptotics for the spin-s fields on a Schwarzschild background, including the scalar field (s = 0), the Maxwell field (s = +/- 1) and the linearized gravity (s = +/- 2). The conjectured Price's law in the physics literature which predicts the sharp rates of decay of the spin s = +/- 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.

引用

页数：100

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