In this work we study the deflection and gravitational lensing of null and timelike signals in the Kiselev spacetime in the weak field limit, to investigate the effects of the equation of state parameter $ω$ and the matter amount parameter $α$. In doing this, we extend a perturbative method previously developed for asymptotically flat spacetimes whose metric functions have integer-power asymptotic expansions to the case that may or may not be asymptotically flat but with non-integer power expansions. It is found that in the asymptotically flat case ($-1/3<ω<0$) the deflection angles are expressable as quasi-power series of the dimensionless quantities $M/b,~b/r_{s,d}$ and $α/M^{1+3ω}$ where $M,~b,~r_{s,d}$ are respectively the lens mass, impact parameter and source/detector radius. A similar series exists for the non-asymptotically flat case of ($-1<ω<-1/3$), but with the closest radius $r_0$ replacing $b$. In the asymptotically flat (or non-flat) case, the increase of $α$ or decrease of $ω$ will increase (or increase) the deflection angle. Since the obtained deflection angles naturally take into account the finite distance effect of the source and the detector, we can establish an exact gravitational lensing equation, from which the apparent angles of the images and their magnifications are solved. It is found that generally for the asymptotically flat case, increasing $α$ or decreasing $ω$ will increase the apparent angles of the images. While for the non-asymptotically flat case, increasing $α$ or $ω$ will both lead to smaller apparent angles.
Strong deflection of massive particles in spherically symmetric spacetimes
Università di Salerno（萨莱诺大学）；Istituto Nazionale di Fisica Nucleare, Sezione di Napoli（意大利国家核物理研究所那不勒斯分部）；University of Bremen（不来梅大学）；Goethe Universität（法兰克福歌德大学）
Off-equatorial deflections and gravitational lensing. II. In general stationary and axisymmetric spacetimes
School of Physics and Technology, Wuhan University（武汉大学物理科学与技术学院）；Department of Astronomy & MOE Key Laboratory of Artificial Micro- and Nano-structures, School of Physics and Technology, Wuhan University（武汉大学物理科学与技术学院天文学系及教育部人工微纳结构重点实验室）
Eikonal Ringing, Shadows, Lensing, Grey-Body Factors, and Binding Energy of Asymptotically Flat Regular Black Holes in Phantom Dirac-Born-Infeld Gravity
Institute of Fundamental and Applied Research, National Research University TIIAME（国立研究大学塔什干信息技术与工程研究所基础与应用研究院）；Theoretical Physics Department, Samarkand State University（撒马尔罕国立大学理论物理系）；Institute of Theoretical Physics, National University of Uzbekistan（乌兹别克斯坦国立大学理论物理研究所）
Testing Charged Black Holes Embedded in Anisotropic Matter and Surrounded by Plasma through Gravitational Lensing: Bounds from the Sloan Lens ACS Survey
Centre for Space Research, North-West University（西北大学空间研究中心）；National Institute for Theoretical and Computational Sciences (NITheCS)（国家理论与计算科学研究所）；Department of Physics, Hemvati Nandan Bahuguna Garhwal Central University（赫姆瓦蒂·南丹·巴胡加纳加尔瓦尔中央大学物理系）；Centre for Theoretical Physics, The British University in Egypt（埃及英国大学理论物理中心）
Gravitational aspects of a new bumblebee black hole
Universidade Federal da Paraíba（帕拉伊巴联邦大学）；Universidade Federal de Campina Grande（坎皮纳格兰德联邦大学）；Khazar University（哈扎尔大学）；Damghan University（达姆甘大学）；Federal University of Paraíba（帕拉伊巴联邦大学）
