Photon Spheres near Dilatonic Dyon-Like Black Holes in a Model with Two Abelian Gauge Fields and Two Scalar Fields

IF 1.2 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Gravitation and Cosmology Pub Date : 2023-11-23 DOI:10.1134/S0202289323040114
V. D. Ivashchuk, A. N. Malybayev, G. S. Nurbakova, G. Takey
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Abstract

Dilatonic dyon-like black hole solutions with two (color) charges \(Q_{1}\) and \(Q_{2}\) (electric and magnetic ones) are considered in a gravitational 4D model with two scalar fields and two 2-forms. Two-dimensional dilatonic coupling vectors \(\vec{\lambda}_{i}\), \(i=1,2\), determining the model, obey the relation \(\vec{\lambda}_{1}\vec{\lambda}_{2}=1/2\). Circular null geodesics in the field of such black holes are explored. The master equation for the photon sphere radius \(R\) is derived. A conjecture is suggested on the existence and uniqueness of the solution to the master equation with \(R>R_{g}\), where \(R_{g}\) is the horizon radius. This conjecture is varified for certain special cases, e.g., for a charge symmetric configuration: \(Q_{1}^{2}=Q_{2}^{2}\). In this charge symmetric case, we present a relation for the spectrum of quasinormal modes of a test massless scalar field in the eikonal approximation, and an example of circular orbits of a massive particle.

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两个阿贝尔规范场和两个标量场模型中类狄龙黑洞附近的光子球
带两个(彩色)电荷的类狄龙黑洞解 \(Q_{1}\) 和 \(Q_{2}\) 在一个具有两个标量场和两个2-形式的引力四维模型中考虑(电和磁)。二维扩张耦合矢量 \(\vec{\lambda}_{i}\), \(i=1,2\),确定模型,服从关系 \(\vec{\lambda}_{1}\vec{\lambda}_{2}=1/2\). 探讨了这类黑洞场中的圆零测地线。光子球半径的主方程 \(R\) 是派生的。给出了主方程解的存在唯一性的一个猜想 \(R>R_{g}\),其中 \(R_{g}\) 是视界半径。这个猜想在某些特殊情况下是可变的,例如,对于电荷对称结构: \(Q_{1}^{2}=Q_{2}^{2}\). 在这种电荷对称的情况下,我们给出了在斜角近似下测试无质量标量场的拟正规模谱的关系式,并给出了一个大质量粒子的圆轨道的例子。
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来源期刊
Gravitation and Cosmology
Gravitation and Cosmology ASTRONOMY & ASTROPHYSICS-
CiteScore
1.70
自引率
22.20%
发文量
31
审稿时长
>12 weeks
期刊介绍: Gravitation and Cosmology is a peer-reviewed periodical, dealing with the full range of topics of gravitational physics and relativistic cosmology and published under the auspices of the Russian Gravitation Society and Peoples’ Friendship University of Russia. The journal publishes research papers, review articles and brief communications on the following fields: theoretical (classical and quantum) gravitation; relativistic astrophysics and cosmology, exact solutions and modern mathematical methods in gravitation and cosmology, including Lie groups, geometry and topology; unification theories including gravitation; fundamental physical constants and their possible variations; fundamental gravity experiments on Earth and in space; related topics. It also publishes selected old papers which have not lost their topicality but were previously published only in Russian and were not available to the worldwide research community
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