A regular MOG black hole's impact on shadows and gravitational weak lensing in the presence of a quintessence field  

作　　者：Ahmad Al-Badawi Sanjar Shaymatov Mirzabek Alloqulov Anzhong Wang 

机构地区：[1]Department of Physics,Al-Hussein Bin Talal University,PO Box:20,71111,Ma’an,Jordan [2]Institute for Theoretical Physics and Cosmology,Zhejiang University of Technology,Hangzhou 310023,China [3]Tashkent State Technical University,Tashkent 100095,Uzbekistan [4]University of Tashkent for Applied Sciences,Str.Gavhar 1,Tashkent 100149,Uzbekistan [5]New Uzbekistan University,Movarounnahr Street 1,Tashkent 100000,Uzbekistan [6]Institute of Fundamental and Applied Research,National Research University TIIAME,Kori Niyoziy 39,Tashkent 100000,Uzbekistan [7]GCAP-CASPER,Physics Department,Baylor University,Waco,TX 76798-7316,United States of America

出　　处：《Communications in Theoretical Physics》2024年第8期91-102,共12页理论物理通讯（英文版）

基　　金：supported by the National Natural Science Foundation of China under Grant No. 11675143;the National Key Research and Development Program of China under Grant No. 2020YFC2201503;the support from Research Grant F-FA-2021-432 of the Ministry of Higher Education, Science and Innovations of the Republic of Uzbekistan。

摘　　要：We investigate the impact of the modified gravity(MOG)field and the quintessence scalar field on horizon evolution,black hole(BH)shadow and the weak gravitational lensing around a static spherically symmetric BH.We first begin to write the BH metric associated with the MOG parameter and quintessence scalar field.We then determine the BH shadow and obtain numerical solutions for the photon sphere and shadow radius.We show that the MOG(α)and the quintessence(c)parameters have a significant impact on the BH shadow and photon sphere.Based on the analysis,we further show that the combined effects of the MOG parameter and quintessence field can increase the values of BH shadow and photon sphere radii.We also obtain constraints on the BH parameters by applying the observational data of Sgr A^(★)and M87^(★).Finally,we consider the weak deflection angle of BH within the context of the Gauss-Bonnet theorem(GBT)and show that the combined effects of the MOG and quintessence parameters do make the value of the deflection angle increase,and find this remarkable property is in good agreement with the physical meaning of both parameters that can maintain the strong gravitational field in the surrounding environment of a BH.

关 键 词：modified gravity SHADOWS gravitational weak lensing quintessence field 

分 类 号：P145.8[天文地球—天体物理] P111[天文地球—天文学]