Photonic black resonators and photon stars in AdS${}_5$

Abstract

Rapidly rotating Myers-Perry-AdS${}_5$ (MPAdS${}_5$) black holes are shown to be unstable against rotational superradiance of a Maxwell field. From the onset of the instability, time-periodic neutral black hole solutions equipped with a nontrivial electromagnetic wave are obtained, which we call {\it photonic black resonators}. In the horizonless limit, they reduce to geon solutions which may be called {\it photon stars}. Specifically, we introduce a cohomogeneity-1 ansatz for the metric and Maxwell field and construct such solutions with an $R\times SU(2)$ isometry group. We compute thermodynamic quantities and obtain phase diagrams. It turns out that a photonic black resonator has a higher entropy than a MPAdS${}_5$ black hole, while it also has a smaller entropy than a black resonator without the Maxwell field. This suggests what is expected for nonlinear dynamics following the Maxwell superradiant instability with the $SU(2)$ isometry.

23 pages, 10 figures

References in corpus (10)

• Building an AdS/CFT superconductor
• Gravitational Perturbations of Higher Dimensional Rotating Black Holes: Tensor Perturbations
• Classical instability of Kerr-AdS black holes and the issue of final state
• Maxwell's Equations in the Myers-Perry Geometry
• Gravitational instability of simply rotating AdS black holes in higher dimensions
• Instabilities of Kerr-AdS_5 x S^5 Spacetime
• Driven Holographic CFTs
• Anti-de Sitter geon families
• Gravitational wave driving of a gapped holographic system
• Time-dependent stabilization in AdS/CFT

Cited by in corpus (7)

• Black hole superradiant instability for massive spin-2 fields
• Energy extraction from AdS black holes via superradiance
• Multioscillating black holes
• Superradiant instability of black resonators and geons
• Gregory-Laflamme encounters Superradiance
• Stability of small charged anti-de Sitter black holes in the Robin boundary
• Superradiance and black resonator strings encounter helical black strings