Black holes and boson stars with one Killing field in arbitrary odd dimensions

Abstract

We extend the recent D = 5 results of Dias, Horowitz and Santos by finding asymptotically AdS rotating black hole and boson star solutions with scalar hair in arbitrary odd spacetime dimension. Both the black holes and the boson stars are invariant under a single Killing vector field which corotates with the scalar field and, in the black hole case, is tangent to the generator of the horizon. Furthermore, we explicitly construct boson star and small black hole (r + ≪ ℓ) solutions perturbatively assuming a small amplitude for the scalar field, resulting in solutions valid for low energies and angular momenta. We find that just as in D = 5, the angular momentum is primarily carried by the scalar field in D > 5, whereas unlike D = 5 the energy is also primarily carried by the scalar field in D > 5; the thermodynamics in D = 5 are governed by both the black hole and scalar field whereas in D > 5 they are governed primarily by the scalar field alone. We focus on cataloguing these solutions for the spacetime dimensions of interest in string theory, namely D = 5, 7, 9, 11.

NR/HEP: roadmap for the future

“…However, to date, a study of such scenario even in D = 4 is absent. Related work has presented possible end-state solutions describing hairy black holes [101,102,103,104,105], though their stability is not yet established nor whether they are indeed attractor solutions. However, the super-radiance instability need not be the only or main effect driving the dynamics.…”

Time-periodic solutions of massive scalar fields in dynamical AdS background: Perturbative constructions

“…A seminal paper along this direction is [2] (see also [3,4]), where the authors presented numerical solutions of the coupled nonlinear partial differential equations from Einstein-massless-scalar field system with a spherically symmetric ansatz. The conclusion drawn from the data is that AdS spacetime is generically unstable under small perturbations of matter fields, due to nonlinearity which transfers energy to higher frequency modes.…”

Charged rotating black holes in Einstein-Maxwell-Chern-Simons theory with a negative cosmological constant

“…Refs. [14][15][16][17][18][19][20][21] (perturbative exact solutions have been constructed as well within the same approach; see e.g., Refs. [22][23][24][25]).…”