Instability of Reissner-Nordstr\"{o}m black hole in Einstein-Maxwell-scalar theory
Yun Soo Myung, De-Cheng Zou
TL;DR
This paper explores the instability of Reissner-Nordström black holes in Einstein-Maxwell-scalar theory, linking scalarization phenomena to Gregory-Laflamme instability, and providing insights into black hole scalar hair formation.
Contribution
It reveals the connection between scalarization of Reissner-Nordström black holes and Gregory-Laflamme instability within Einstein-Maxwell-scalar theory.
Findings
Scalarized Reissner-Nordström black holes are related to Gregory-Laflamme instability.
The study clarifies conditions under which scalar hair develops on black holes.
Provides theoretical insight into black hole stability and scalarization mechanisms.
Abstract
The scalarization of Reissner-Nordstr\"{o}m black holes was recently proposed in the Einstein-Maxwell-scalar theory. Here, we show that the appearance of the scalarized Reissner-Nordstr\"{o}m black hole is closely related to the Gregory-Laflamme instability of the Reissner-Nordstr\"{o}m black hole without scalar hair.
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