Boson and Dirac stars in $D\ge 4$ dimensions

Abstract

We present a comparative study of spherically symmetric, localized, particle-like solutions for spin $s=0,1/2$ and $1$ gravitating fields in a $D$-dimensional, asymptotically flat spacetime. These fields are massive, possessing a harmonic time dependence and no self-interaction. Special attention is paid to the mathematical similarities and physical differences between the bosonic and fermonic cases. We find that the generic pattern of solutions is similar for any value of the spin $s$, depending only on the dimensionality of spacetime, the cases $D=4,5$ being special.

arXiv comment15 pages, 4 figures

References in corpus (31)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• TOPICAL REVIEW: General relativistic boson stars
• Black Holes in Higher Dimensions
• Dynamical Boson Stars
• Black Holes in Theories with Large Extra Dimensions: a Review
• Gravitating Non-Abelian Solitons and Black Holes with Yang-Mills Fields
• Proca Stars: gravitating Bose-Einstein condensates of massive spin 1 particles
• Kerr black holes with Proca hair
• On the eigenfunctions of the Dirac operator on spheres and real hyperbolic spaces
• The large D limit of General Relativity
• Black holes, hidden symmetries, and complete integrability
• Particle-Like Solutions of the Einstein-Dirac Equations
• Asymptotically flat scalar, Dirac and Proca stars: discrete vs. continuous families of solutions
• Boson stars with negative cosmological constant
• Numerical evolutions of spherical Proca stars
• Non-Existence of Time-Periodic Solutions of the Dirac Equation in a Reissner-Nordstrom Black Hole Background
• No-Hair Theorems and Black Holes with Hair
• Rotating Boson Stars in 5 Dimensions
• Black Holes and Boson Stars with One Killing Field in Arbitrary Odd Dimensions
• Non-Existence of Black Hole Solutions for a Spherically Symmetric, Static Einstein-Dirac-Maxwell System
• Supersymmetric Q-balls and boson stars in (d+1) dimensions
• A comparative study of Dirac quasinormal modes of charged black holes in higher dimensions
• Asymptotically anti-de Sitter Proca Stars
• Perturbative and nonperturbative fermionic quasinormal modes of Einstein-Gauss-Bonnet-AdS black holes
• Discrete quantum modes of the Dirac field in $Ad{S}_{d+1}$ backgrounds
• Q-stars in extra dimensions
• Slowly damped quasinormal modes of the massive Dirac field in d-dimensional Tangherlini spacetime
• New modes for massive Dirac field in higher dimensional Black Holes
• Quasinormal modes of Dirac spinors in the background of rotating black holes in four and five dimensions
• Solutions of the massive Dirac equation in the near-horizon metric of the extremal five dimensional Myers-Perry black hole with equal angular momenta

Cited by in corpus (12)

• Dynamical Boson Stars
• Asymptotically flat spinning scalar, Dirac and Proca stars
• Constructing spherically symmetric Einstein-Dirac systems with multiple spinors: Ansatz, wormholes and other analytical solutions
• ECO-spotting: looking for extremely compact objects with bosonic fields
• Dirac-boson stars
• Perturbing the ground state of Dirac stars
• Einstein-Dirac system in semiclassical gravity
• Nonlinear effects in the excited states of many-fermion Einstein-Dirac solitons
• Fluid pulsation modes from strange stars in a higher-dimensional space-time
• Polar form of Dirac fields: implementing symmetries via Lie derivative
• Mini boson stars in higher dimensions are radially unstable
• Integrability of Dirac equations in static spherical space-times