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 study late-time behaviors of massive scalar fields in general static andspherically symmetric extremal black hole spacetimes in arbitrary dimensions.We show the existence of conserved quantities on the extremal black holehorizons for specific mass squared and multipole modes of the scalar fields.Those quantities on the horizon are called the Aretakis constants and areconstructed from the higher-order derivatives of the fields. Focusing on theregion near the horizon at late times, where is well approximated by thenear-horizon geometry, we show that the leading behaviors of the fields aredescribed by power-law tails. The late-time power-law tails lead to theAtetakis instability: blowups of the transverse derivatives of the fields onthe horizon. We further argue that the Aretakis constants and instabilitycorrespond to respectively constants and blowups of components of covariantderivatives of the fields at the late time in the parallelly propagated nullgeodesic frame along the horizon. We finally discuss the relation between theAretakis constants and ladder operators constructed from the approximatespacetime conformal symmetry near the extremal black hole horizons.

physical review. d/physical review. d.

The Aretakis constants and instability in general spherically symmetric  extremal black hole spacetimes: higher multipole modes, late-time tails, and  geometrical meanings