PIRSA:21060007

Kerr self-force via elliptic PDEs: Background and theory (part 1)

Nishimura, N. (2021). Kerr self-force via elliptic PDEs: Background and theory (part 1). Perimeter Institute. https://pirsa.org/21060007

Nishimura, Nami. Kerr self-force via elliptic PDEs: Background and theory (part 1). Perimeter Institute, Jun. 07, 2021, https://pirsa.org/21060007 

          @misc{ pirsa_PIRSA:21060007,
            doi = {10.48660/21060007},
            url = {https://pirsa.org/21060007},
            author = {Nishimura, Nami},
            keywords = {Other},
            language = {en},
            title = {Kerr self-force via elliptic PDEs: Background and theory (part 1)},
            publisher = {Perimeter Institute},
            year = {2021},
            month = {jun},
            note = {PIRSA:21060007 see, \url{https://pirsa.org}}
          }

Nami Nishimura State University of New York (SUNY)

DOI 10.48660/21060007
Collection
Talk Type Conference
Subject

Abstract

Our long-term goal is to calculate the Lorenz gauge gravitational self-force for an extreme mass-ratio binary system in Kerr spacetime. Past work in the time-domain has encountered time instabilities for the two lowest modes m=0 and m=1. In order to overcome this problem, we enter the frequency-domain, which introduces elliptic PDEs. To develop an appropriate scheme, we first investigate the scalar self-force in Kerr spacetime by separating the Φ and t variables. To calculate the self-force, we use the effective source method. This presentation discusses the background and theory, which will be followed by a discussion of numerical methods in a later presentation.