# Price’s Law for Spin Fields on a Schwarzschild Background

@article{Ma2021PricesLF, title={Price’s Law for Spin Fields on a Schwarzschild Background}, author={Siyuan Ma and Lin Zhang}, journal={Annals of PDE}, year={2021}, volume={8}, pages={1-100} }

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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