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gr-qc2021★ 5 cited
The Aretakis constants and instability in general spherically symmetric extremal black hole spacetimes: higher multipole modes, late-time tails, and geometrical meanings
Takuya Katagiri, Masashi Kimura
We study late-time behaviors of massive scalar fields in general static and spherically symmetric extremal black hole spacetimes in arbitrary dimensions. We show the existence of c…
gr-qc2021★ 4 cited
Revisiting the Aretakis constants and instability in two-dimensional Anti-de Sitter spacetimes
Takuya Katagiri, Masashi Kimura
We discuss dynamics of massive Klein-Gordon fields in two-dimensional Anti-de Sitter spacetimes (), in particular conserved quantities and non-modal instability on the futur…