Price’s Law for Spin Fields on a Schwarzschild Background

  title={Price’s Law for Spin Fields on a Schwarzschild Background},
  author={Siyuan Ma and Lin Zhang},
  journal={Annals of PDE},
In this work, we derive the globally precise late-time asymptotics for the spin- $${\mathfrak {s}}$$ s fields on a Schwarzschild background, including the scalar field $$({\mathfrak {s}}=0)$$ ( s = 0 ) , the Maxwell field $$({\mathfrak {s}}=\pm 1)$$ ( s = ± 1 ) and the linearized gravity $$({\mathfrak {s}}=\pm 2)$$ ( s = ± 2 ) . The conjectured Price’s law in the physics literature which predicts the sharp rates of decay of the spin $$s=\pm {\mathfrak {s}}$$ s = ± s components towards the… 

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  • Siyuan Ma
  • Physics, Mathematics
    Journal of Differential Equations
  • 2022

A Sharp Version of Price’s Law for Wave Decay on Asymptotically Flat Spacetimes

  • P. Hintz
  • Mathematics
    Communications in Mathematical Physics
  • 2021
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