Shadow and deflection angle of rotating black holes in perfect fluid dark matter with a cosmological constant

被引：167

作者：

Haroon, Sumarna ^{[1
,2
]}

Jamil, Mubasher ^{[1
,3
]}

Jusufi, Kimet ^{[4
,5
]}

Lin, Kai ^{[6
,7
]}

Mann, Robert B. ^{[2
]}

机构：

[1] NUST, SNS, Dept Math, H-12, Islamabad, Pakistan

[2] Univ Waterloo, Dept Phys & Astron, Waterloo, ON N2L 3G1, Canada

[3] Zhejiang Univ Technol, Inst Adv Phys & Math, Hangzhou 310032, Zhejiang, Peoples R China

[4] State Univ Tetovo, Dept Phys, Ilinden St Nn, Tetovo 1200, Macedonia

[5] Ss Cyril & Methodius Univ, Inst Phys, Fac Nat Sci & Math, Arhimedova 3, Skopje 1000, Macedonia

[6] China Univ Geosci Wuhan, Inst Geophys & Geomat, Wuhan 430074, Hubei, Peoples R China

[7] Univ Sao Paulo, Escola Engn Lorena, Dept Ciencias & Ambientais, BR-12602810 Lorena, SP, Brazil

来源：

PHYSICAL REVIEW D | 2019年 / 99卷 / 04期

基金：

中国国家自然科学基金; 加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1103/PhysRevD.99.044015

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The presence of dark matter around a black hole remarkably affects its spacetime. We consider the effects of dark matter on the shadow of a new solution to the Einstein equations that describes a rotating black hole in the background of perfect dark matter fluid, along with its extension to nonzero cosmological constant Lambda. Working in Boyer-Lindquist coordinates, we consider the effects of the perfect dark matter fluid parameter alpha on the shadow cast by a black hole with respect to an observer at position (r(0), theta(0)). By applying the Gauss-Bonnet theorem to the optical geometry, we find that notable distortions from a Kerr black hole can occur. We describe their dependence on alpha and Lambda.

引用

页数：12

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