Metric perturbations to Kerr blackhole in suitable gauges

          @misc{ scivideos_PIRSA:21060042,
            doi = {10.48660/21060042},
            url = {https://pirsa.org/21060042},
            author = {Toomani, Vahid},
            keywords = {Other Physics},
            language = {en},
            title = {Metric perturbations to Kerr blackhole in suitable gauges},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2021},
            month = {jun},
            note = {PIRSA:21060042 see, \url{https://scivideos.org/pirsa/21060042}}
          }
          

Abstract

I outline an algorithm for obtaining the first order metric perturbation solving the linearized Einstein equations sourced by a point mass in (a) a no-string gauge and (b) the Lorentz gauge via a variant of the Teukolsky formalism. The aim is to suitably combine the attractive features of this formalism with the milder singularity structure and better localization properties of the solutions in the latter gauges. This part of our work is intended as a starting point for the second order self force problem and relies in an essential way on the recently introduced corrector formalism by Green, Hollands and Zimmerman.