中科院數學與系統科學研究院

數學研究所

 

數學物理研討班

 

報告人馬思遠 博士Sorbonne University, Paris

 Almost sharp asymptotics for Maxwell field on black hole spacetimes

  2020.06.30(星期二),14:00-15:00

  點:騰訊會議

  要:We consider the asymptotics of a Maxwell field in the exterior of a Schwarzschild or Kerr black hole. In a subextremal Kerr spacetime, we show all components are asymptotic to a stationary solution under an assumption of a basic energy and Morawetz estimate for spin $\pm 1$ components, and prove the total power of decay is $-7/2$. On a Schwarzschild spacetime, we construct a conserved Newman--Penrose constant for any $\ell$ mode, and depending on if this constant vanishes or not, we prove almost sharp Price's law decay $\tau^{-5+}$ (or $\tau^{-4+}$) for Maxwell field and $\tau^{-\ell -4+}$ (or $\tau^{-\ell -3+}$) for any $\ell$ mode of the field towards a static solution on a Schwarzschild background.

 

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