2023/10/16 by Sun, Shi-Xian, Cui, Si-Yuan, Huang, Long-Xing +1
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2310.10267
In this paper, we construct a Dirac star model composed of |κ| pairs of spinor fields. The azimuthal harmonic indeces m of these spinor fields are half-integers, and they satisfiy -(|κ|-(1)/(2))≤ m ≤ |κ|-(1)/(2). When κ=1, it corresponds to the conventional Dirac star model, formed by two spinor fields with m=(1)/(2) and m=-(1)/(2). When |κ|>1, among these |κ| pairs of spinor fields, there exist spinor fields with azimuthal harmonic indices m>(1)/(2), and all spinor fields still conform to the same Dirac field equation. Different families of solutions are distinguished by the value of κ, so we named these solutions κ-Dirac stars. We obtain solutions for κ=±1,±2,±3,±4,±5,±6 by using numerical methods. Additionally, we compute their ADM mass M, Noether charge Q, and binding energy E, and illustrate how these quantities change with the spinor field's frequency ω for different κ. We observe significant differences between solutions for |κ|>1 and the |κ|=1 case. Furthermore, we provide the energy density distribution of the Dirac stars, wherein for |κ|>1 scenarios, the Dirac stars exhibit a spherical shell-like structure. Moreover, we employ three-dimensional diagrams to intuitively depict how κ influences the combination of spinor fields to form a spherically symmetric configuration.