Excited Boson Stars

Abstract

Axisymmetric rotating radially excited boson stars are analyzed. For several fixed parameter sets, the full sets of solutions are obtained. In contrast to the nodeless boson stars, the radially excited sets of solutions do not exhibit a spiraling behavior. Instead they form a loop, when the boson frequency is varied from its maximal value given by the boson mass to a minimal value and back. Thus for all allowed boundary data of the scalar field at the origin, there are two distinct solutions, except for the endpoints. While one endpoint corresponds to the trivial solution, the other one represents the most compact solution. The energy density and the pressures of the solutions are analyzed. A decomposition of the scalar field into spherical harmonics is performed, and stability considerations are presented.

23 pages, 18 figues

References in corpus (6)

• Ergoregion instability of ultra-compact astrophysical objects
• Gravitational Stability of Boson Stars
• Rotating Boson Stars and Q-Balls II: Negative Parity and Ergoregions
• Bosonic gas as a Galactic Dark Matter Halo
• Spherical Boson Stars as Black Hole mimickers
• Scalar field haloes as gravitational lenses

Cited by in corpus (15)

• Selected topics in scalar-tensor theories and beyond
• Stability of rotating scalar boson stars with nonlinear interactions
• Merger of Dark Matter Axion Clumps and Resonant Photon Emission
• Circular Orbits Structure and Thin Accretion Disks around Kerr Black Holes with Scalar Hair
• Proca-Higgs balls and stars in a UV completion for Proca self-interactions
• Chains of Boson Stars
• On the Structure of Rotating Charged Boson Stars
• Retrograde Polish Doughnuts around Boson Stars
• $U(1)$ gauged boson stars in the Einstein-Friedberg-Lee-Sirlin model
• Rotating tensor-multi-scalar solitons
• Nonlinear effects in the excited states of many-fermion Einstein-Dirac solitons
• Charged hairy black holes in the gauged Einstein-Friedberg-Lee-Sirlin model
• Compact, charged boson-stars, -shells in the $\mathbb{C}{P}^N$ gravitating nonlinear sigma model
• Nodal compact $Q$-ball/$Q$-shell in the $\mathbb{C}{P}^N$ nonlinear sigma model
• Charged and radially excited boson stars (in Anti-de Sitter)