Chin. Phys. Lett.  2017, Vol. 34 Issue (9): 090401    DOI: 10.1088/0256-307X/34/9/090401
Effects of Homogeneous Plasma on Strong Gravitational Lensing of Kerr Black Holes
Chang-Qing Liu1**, Chi-Kun Ding1, Ji-Liang Jing2
1Department of Physics, Hunan University of Humanities Science and Technology, Loudi 417000
2Department of Physics, and Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha 410081
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Abstract Considering the Kerr black hole surrounded by a homogeneous unmagnetized plasma medium, we study the strong gravitational lensing on the equatorial plane of the Kerr black hole. It is found that the presence of the uniform plasma can increase the photon-sphere radius $r_{\rm ps}$, the coefficients $\bar{a}$ and $\bar{b}$, the angular position of the relativistic images ($\theta_{\infty}$), the deflection angle $\alpha(\theta)$ and the angular separation $s$. However, the relative magnitude $r_{\rm m}$ decreases in the presence of the uniform plasma medium. It is also shown that the impact of the uniform plasma on the effect of strong gravitational lensing becomes smaller as the spin of the Kerr black hole increases in the prograde orbit ($a>0$). In particular, for the extreme black hole ($a=0.5$), the effect of strong gravitational lensing in the homogeneous plasma medium is the same as the case in vacuum for the prograde orbit.
Received: 15 June 2017      Published: 15 August 2017
PACS:  04.70.Dy (Quantum aspects of black holes, evaporation, thermodynamics)  
  98.62.Sb (Gravitational lenses and luminous arcs)  
  95.30.Sf (Relativity and gravitation)  
  97.60.Lf (Black holes)  
Fund: Supported by the National Natural Science Foundation of China under Grant Nos 11447168 and 11247013, and the Hunan Provincial Natural Science Foundation under Grant Nos 12JJ4007 and 2015JJ2085.
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Chang-Qing Liu, Chi-Kun Ding, Ji-Liang Jing 2017 Chin. Phys. Lett. 34 090401
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Chang-Qing Liu
Chi-Kun Ding
Ji-Liang Jing
[1]Broderick A and Blandford R 2003 Mon. Not. R. Astron. Soc. 342 1208
[2]Bičák J and Hadrava P 1975 Astron. Astrophys. 44 389
[3]Kichenassamy S and Krikorian R A 1985 Phys. Rev. D 32 1866
[4]Krikorian R A 1999 Astrophysics 42 338
[5]Synge J L 1960 Relativity: the General Theory (Amsterdam: North-Holland Publishing Company)
[6]Perlick V 2000 Ray Optics, Fermat's Principle and Applications to General Relativity (New York: Springer-Verlag)
[7]Kulsrud R and Loeb A 1992 Phys. Rev. D 45 525
[8]Bisnovatyi-Kogan G S and Tsupko O Y 2009 Gravitation Cosmol. 15 20
[9]Bisnovatyi-Kogan G S and Tsupko O Y 2010 Mon. Not. R. Astron. Soc. 404 1790
[10]Tsupko O Y and Bisnovatyi-Kogan G S 2013 Phys. Rev. D 87 124009
[11]Morozova V et al 2013 Astrophys. Space Sci. 346 513
[12]Er X and Mao S 2014 Mon. Not. R. Astron. Soc. 437 2180
[13]Farruh A et al 2015 Phys. Rev. D 92 084005
[14]Rogers A 2015 Mon. Not. R. Astron. Soc. 451 4536
[15]Perlick V et al 2015 Phys. Rev. D 92 104031
[16]Darwin C 1959 Proc. R. Soc. London 249 180
[17]Virbhadra K S et al 1998 Astron. Astrophys. 337 1
[18]Virbhadra K S and Ellis G F R 2000 Phys. Rev. D 62 084003
[19]Virbhadra K S and Ellis G F R 2002 Phys. Rev. D 65 103004
[20]Bozza V 2002 Phys. Rev. D 66 103001
[21]Bozza V 2003 Phys. Rev. D 67 103006
Bozza V et al 2005 Phys. Rev. D 72 083003
Bozza V et al 2006 Phys. Rev. D 74 063001
[22]Gyulchev G N and Yazadjiev S S 2007 Phys. Rev. D 75 023006
[23]Frittelly S et al 2000 Phys. Rev. D 61 064021
[24]Bozza V et al 2001 Gen. Relativ. Gravitation 33 1535
[25]Eiroa E F 2006 Phys. Rev. D 73 043002
[26]Whisker R 2005 Phys. Rev. D 71 064004
[27]Bhadra A 2003 Phys. Rev. D 67 103009
[28]Chen S et al 2011 Phys. Rev. D 83 124019
[29]Ghosh T and Sengupta S 2010 Phys. Rev. D 81 044013
[30]Wei S and Liu Y 2012 Phys. Rev. D 85 064044
[31]Keeton C R and Petters A O 2005 Phys. Rev. D 72 104006
[32]Genzel R et al 2010 Rev. Mod. Phys. 82 3121
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