English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We develop a complete and systematic analytical approach to fieldperturbations of extremal Kerr spacetime based on the formalism of Mano, Suzukiand Takasugi (MST) for the Teukolsky equation. Analytical expressions for theradial solutions and frequency-domain Green function in terms of infiniteseries of special functions are presented. As an application, we compute, forthe first time, the leading late-time behavior due to the branch point at zerofrequency of scalar, gravitational, and electromagnetic field perturbations onand off the event horizon. We also use the MST method to compute the leadingbehavior of the Green function modes near the branch point at the superradiantbound frequency and show that this behavior agrees with existing results in theliterature using a different method.

Perturbations of Extremal Kerr Spacetime: Analytic Framework and Late-time Tails