2017/04/28 by Shahar Hod · 1 citation
Mathematics · Physics and Astronomy · #Angular momentum #Black Holes and Theoretical Physics #Black hole (networking) #Bound state #Classical mechanics #Compact star #Cosmology and Gravitation Theories #Geometry #Horizon #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Scalar (mathematics) #Scalar field #Spacetime #Stationary state #astro-ph.HE #gr-qc #hep-th
paper · pdf · doi:10.1016/j.physletb.2017.04.065
published as Physics Letters B 770, 186 (2017) · 11 pages. arXiv admin note: text overlap with arXiv:1704.05856
openalex publication_date 2017/04/28 · arxiv created 2018/03/19 · arxiv updated 2018/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Some quantum-gravity theories suggest that the absorbing horizon of a classical black hole should be replaced by a reflective surface which is located a microscopic distance above the would-be classical horizon. Instead of an absorbing black hole, the resulting horizonless spacetime describes a reflective exotic compact object. Motivated by this intriguing prediction, in the present paper we explore the physical properties of exotic compact objects which are linearly coupled to stationary bound-state massive scalar field configurations. In particular, solving the Klein–Gordon wave equation for a stationary scalar field of proper mass μ and spheroidal harmonic indices (l,m) in the background of a rapidly-rotating exotic compact object of mass M and angular momentum J=Ma, we derive a compact analytical formula for the discrete radii rc(μ,l,m,M,a;n) of the exotic compact objects which can support the stationary bound-state massive scalar field configurations. We confirm our analytical results by direct numerical computations.