# On the (non) existence of superregular boson clouds around extremal Kerr black holes and its connection with number theory

27 Sep 2019 Garcia Gustavo Salgado Marcelo

We argue about the (non) existence of {\it superregular} scalar clouds (i.e., bound states of a massive and complex-valued scalar field $\Psi$) around exact {\it extremal} ($a = M$) Kerr black holes (BH's) possessing {\it bounded radial derivatives at the horizon} (in Boyer-Lindquist coordinates) as opposed to similar cloud solutions that exist but with unbounded derivatives in the same coordinate system. The latter solutions have been reported recently both analytically and numerically... (read more)

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# Categories

• GENERAL RELATIVITY AND QUANTUM COSMOLOGY
• NUMBER THEORY