Numerical Boson Stars with a Single Killing Vector I: the $D\ge 5$ Case

Abstract

We numerically construct asymptotically anti-de Sitter boson star solutions using a minimally coupled $\frac{D-1}{2}$-tuplet complex scalar field in $D=5,7,9,11$ dimensions. The metric admits multiple Killing vector fields in general, however the scalar fields are only invariant under a particular combination, leading to such boson star solutions possessing just a single helical Killing symmetry. These boson stars form a one parameter family of solutions, which can be parametrized by the energy density at their center. As the central energy density tends to infinity, the angular velocity, mass, and angular momentum of the boson star exhibit damped harmonic oscillations about finite central values, while the Kretschmann invariant diverges, signaling the formation of a black hole in this limit.

16 pages, 3 multi-part figures, Part I of a 2 part series, v2: references added, appendix and figures added, minor changes throughout

References in corpus (7)

• A Higher Dimensional Stationary Rotating Black Hole Must be Axisymmetric
• Boson Stars in AdS
• Symmetries of Higher Dimensional Black Holes
• Time-periodic solutions in Einstein AdS - massless scalar field system
• Supermassive black holes or boson stars? Hair counting with gravitational wave detectors
• Numerical Boson Stars with a Single Killing Vector II: the D=3 Case
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• Charged rotating black holes in Einstein--Maxwell--Chern-Simons theory with a negative cosmological constant
• Spinning gauged boson stars in anti-de Sitter spacetime
• Multioscillating black holes
• A rotating hairy AdS3 black hole with the metric having only one Killing vector field
• Gauss-Bonnet Boson Stars with a Single Killing Vector
• Self-interacting boson stars with a single Killing vector field in Anti-de Sitter
• Static Einstein-Maxwell Magnetic Solitons and Black Holes in an Odd Dimensional AdS Spacetime
• Numerical Boson Stars with a Single Killing Vector II: the D=3 Case
• Black Holes with Scalar Hairs in Einstein-Gauss-Bonnet Gravity
• Dynamics of Nonlinear Waves on Bounded Domains