PIRSA:21060043

Gauge and effective source regularization of reconstructed metric perturbations

APA

Zimmerman, P. (2021). Gauge and effective source regularization of reconstructed metric perturbations. Perimeter Institute. https://pirsa.org/21060043

MLA

Zimmerman, Peter. Gauge and effective source regularization of reconstructed metric perturbations. Perimeter Institute, Jun. 09, 2021, https://pirsa.org/21060043

BibTex

          @misc{ pirsa_PIRSA:21060043,
            doi = {10.48660/21060043},
            url = {https://pirsa.org/21060043},
            author = {Zimmerman, Peter},
            keywords = {Other},
            language = {en},
            title = {Gauge and effective source regularization of reconstructed metric perturbations},
            publisher = {Perimeter Institute},
            year = {2021},
            month = {jun},
            note = {PIRSA:21060043 see, \url{https://pirsa.org}}
          }
          

Peter Zimmerman Polyzoa

Abstract

Understanding extended sources is an important aspect of the second-order problem in Kerr. Metric reconstruction procedures based on the Teukolsky equation bring challenges at second order due to singularities in the radiation gauge. One approach would be to soften these singularities using an effective source derived from a puncture. I will describe how the corrector-tensor reconstruction algorithm may be applied in a puncture scheme with a spatially compact effective source. To illustrate the method I will use an example in flat spacetime which provides some insights into the structure of the problem in Kerr.