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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We present a new analytic approach for the study of late time evolution oflinear test-fields, propagating on the exterior of black holes. This methodprovides a calculation scheme applicable to Kerr black holes (for which case noanalytic calculation of the late time tails has been presented so far). In thispaper we develop the new technique and apply it to the case of massless scalarwaves evolving on the background geometry of a static spherically-symmetricthin shell with a Schwarzschild exterior. The late time behavior of the scalarfield at null infinity is calculated, and is explicitly related to the form of(quite arbitrary) initial data. This reproduces the well-known late timepower-law decaying tails. In an accompanying paper we apply our approach to thecomplete Schwarzschild black hole geometry, where we obtain the familiarinverse-power late time tails at null infinity, as well as at time-likeinfinity and along the event horizon. A calculation of the late time power-lawtails in the Kerr geometry, based on the same approach, will be presented in aforthcoming paper.Comment: 21 pages, 19 figures. Accepted for publication in Physical Review

Late time dynamics of scalar perturbations outside black holes. I. A shell toy model