Asymptotically flat, spherical, self-interacting scalar, Dirac and Proca stars
Carlos A. R. Herdeiro, Eugen Radu
备注：
23 pages, 7 figures; invited contribution to the Special Issue "Exact Solutions in Classical Field Theory: Solitons, Black Holes and Boson Stars" in Symmetry
We present a comparative analysis of the self-gravitating solitons arising in the Einstein-Klein-Gordon, Einstein-Dirac and Einstein-Proca models, for the particular case of static, spherically symmetric spacetimes. Differently from the previous study arXiv:1708.05674, the matter fields possess suitable self-interacting terms in the Lagrangians, which allow for the existence of $Q$-ball--type solutions for these models in the flat spacetime limit. In spite of this important difference, our analysis shows that the high degree of universality observed in arXiv:1708.05674 remains, and various spin-independent common patterns are observed.
Institut für Theoretische Physik, Universität Heidelberg（海德堡大学理论物理研究所）；RIKEN Center for Interdisciplinary Theoretical and Mathematical Sciences (iTHEMS), RIKEN（理化学研究所跨学科理论与数学科学中心（iTHEMS））；ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung mbH（重离子研究亥姆霍兹中心极端物质研究所EMMI）；Department of Physics and Astronomy, University of Sussex（萨塞克斯大学物理与天文学系）
A normal mode analysis for Proca fields in the anti-de Sitter (AdS) spacetime is given. It is found that the equations for the Proca field can be decoupled analytically. This is performed by changing the basis of the vector spherical harmonics (VSH) decomposition. The normal modes and the normal mode frequencies of the Proca equation in the AdS spacetime are then analytically determined. It is also shown that the Maxwell field can be recovered by taking the massless limit of the Proca field with care so that the nonphysical gauge modes are eliminated.
Proca stars (arXiv:1508.05395) are everywhere regular, asymptotically flat self-gravitating solitons composed of complex, massive vector bosons, forming a macroscopic, star-sized, Bose-Einstein condensate. They have been suggested as a classical, dynamical model of exotic compact objects, black hole mimickers and dark matter candidates. In spherical symmetry, they are qualitatively similar to their scalar cousins, the standard (scalar) boson stars in all respects studied so far. Here we study the tidal deformability and the quadrupolar tidal Love numbers, both electric-type and magnetic-type, …
Grey-Body Factors and Thermodynamics of Asymptotically de Sitter Black Holes in Generalized Proca Theory
University of Hradec Králové（赫拉德茨克拉洛韦大学）；National University of Uzbekistan（乌兹别克斯坦国立大学）；Kimyo International University in Tashkent（塔什干化学国际大学）；Ulugh Beg Astronomical Institute（乌鲁伯格天文研究所）；University of Tashkent for Applied Sciences（塔什干应用科学大学）；Tashkent State Technical University（塔什干国立技术大学）；New Uzbekistan University（新乌兹别克斯坦大学）；Tashkent International University of Education（塔什干国际教育大学）；Tongji University（同济大学）；Khazar University（哈扎尔大学）
We consider strongly gravitating configurations consisting of coupled real Higgs scalar field and vector (Proca) field of mass $μ_P$. For such a system, we find static regular axially symmetric solutions describing asymptotically flat configurations which may be referred to as Proca-Higgs miniboson stars, since their total mass and spatial dimension are of order $M_{\text{Pl}}^2/μ_P$ and $μ_P^{-1}$, respectively.The system possesses an axially symmetric dipole field and may be regarded as a Proca dipole.
We present new results concerning the Proca massive vector field in a Schwarzschild-AdS black hole geometry. We provide a first principles analysis of Proca vector fields in this geometry using both the vector spherical harmonic (VSH) separation method and the Frolov-Krtouš-Kubizňák-Santos (FKKS) method that separates the relevant equations in spinning geometries. The analysis in the VSH method shows, on one hand, that it is arduous to separate the scalar-type from the vector-type polarizations of the electric sector of the Proca field, and on the other hand, it displays clearly the electric a…
We demonstrate that black holes and stars in general relativity can be destabilized by perturbations of non-minimally coupled vector fields. Focusing on static and spherically symmetric backgrounds, our analysis shows that black holes with sufficiently small mass and stars with sufficiently high densities are subject to ghost or gradient-type instabilities. This holds for a large class of vector-tensor theories whenever non-minimal couplings contribute to linearized dynamics about a state with vanishing vector field and applies to generalized Proca models that have sparked attention for their …
Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo（米却肯自治大学圣尼古拉斯德伊达尔戈物理与数学研究所）；Departamento de Física, División de Ciencias e Ingenierías, Campus León, Universidad de Guanajuato（瓜纳华托大学莱昂校区科学工程分院物理系）；Unidad Académica de Física, Universidad Autónoma de Zacatecas（萨卡特卡斯自治大学物理学学术单元）
Can a dynamically robust bosonic star (BS) produce an (effective) shadow that mimics that of a black hole (BH)? The BH shadow is linked to the existence of light rings (LRs). For free bosonic fields, yielding mini-BSs, it is known that these stars can become ultra-compact - i.e., possess LRs - but only for perturbatively unstable solutions. We show this remains the case even when different self-interactions are considered. However, an effective shadow can arise in a different way: if BSs reproduce the existence of an innermost stable circular orbit (ISCO) for timelike geodesics (located at $r_…
Greybody factors of Proca fields in Schwarzschild spacetime: A supplemental analysis based on decoupled master equations related to the Frolov-Krtouš-Kubizňák-Santos separation
The Institute for Fundamental Study, Naresuan University（纳瑞宣大学基础研究所）
