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Mathematical Physics Seminar

" Linear stability of Schwarzschild spacetime"

Date & time: Thursday, 30 March 2017 at 12:00PM - 1:00PM


Jordan Keller, Columbia University

" Linear stability of Schwarzschild spacetime"

Time: 12:00 PM
Location: Hill 705
Abstract: I will discuss recent work, joint with Pei-Ken Hung and Mu-Tao Wang, on the linear stability of the Schwarzschild spacetime. Our method employs Hodge decomposition to split linearized solutions into closed and co-closed portions, respectively identified with even-parity and odd-parity solutions in the physics literature. For each portion, we derive Regge-Wheeler type equations for decoupled, gauge-invariant quantities at the linearized connection level. With the choice of an appropriate gauge, decay estimates on these decoupled quantities are used to establish decay of the linearized metric coefficients of the solution.

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