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Weak gravitational lensing of dilaton-de Sitter black holes. (English) Zbl 1377.83010

Summary: In this work, we examine the effects of the cosmological constant and a scalar field on the angle of deflection of null geodesics in the equatorial plane of the Dilaton-de Sitter space-time. We employ the Rindler-Ishak method to compute the gravitational lensing. We derive new limits on the value of the cosmological constant, \(\Lambda \), based on the bending of light by systems where the lens is a distant galaxy or a cluster of galaxies. These results are essential and important for studies of cosmology.

MSC:

83C10 Equations of motion in general relativity and gravitational theory
83C57 Black holes
53Z05 Applications of differential geometry to physics
85A05 Galactic and stellar dynamics
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[1] Keeton, C.R., Petters, A.: Formalism for testing theories of gravity using lensing by compact objects: static, spherically symmetric case. Phys. Rev. D 72(10), 104006 (2005) · doi:10.1103/PhysRevD.72.104006
[2] Keeton, C.R., Petters, A.: Formalism for testing theories of gravity using lensing by compact objects. III. Braneworld gravity. Phys. Rev. D 73(10), 104032 (2006) · doi:10.1103/PhysRevD.73.104032
[3] Keeton, C.R., Petters, A.: Formalism for testing theories of gravity using lensing by compact objects. II. Probing post-post-Newtonian metrics. Phys. Rev. D 73(4), 044024 (2006) · doi:10.1103/PhysRevD.73.044024
[4] Wyman, M.: Galilean-invariant scalar fields can strengthen gravitational lensing. Phys. Rev. Lett. 106(20), 201102 (2011) · doi:10.1103/PhysRevLett.106.201102
[5] Faraoni, V., Gunzig, E.: Lensing by gravitational waves in scalar-tensor gravity (1998) · Zbl 0976.83018
[6] Acquaviva, V., Baccigalupi, C., Perrotta, F.: Weak lensing and gravity theories. Proc. Int. Astron. Union 2004(IAUS225), 123-128 (2004) · doi:10.1017/S1743921305001894
[7] Virbhadra, K., Narasimha, D., Chitre, S.: Role of the scalar field in gravitational lensing. Astron. Astrophys. 337(1), 1-8 (1998)
[8] Sarkar, K., Bhadra, A.: Strong field gravitational lensing in scalartensor theories. Class. Quantum Gravity 23(22), 6101 (2006) · Zbl 1133.83389 · doi:10.1088/0264-9381/23/22/002
[9] Gao, C.J., Zhang, S.N.: Dilaton black holes in the de Sitter or antide Sitter universe. Phys. Rev. D 70(12), 124019 (2004) · doi:10.1103/PhysRevD.70.124019
[10] Islam, J.: The cosmological constant and classical tests of general relativity. Phys. Lett. A 97(6), 239-241 (1983) · doi:10.1016/0375-9601(83)90756-9
[11] Rindler, W., Ishak, M.: Contribution of the cosmological constant to the relativistic bending of light revisited. Phys. Rev. D 76(4), 043006 (2007) · doi:10.1103/PhysRevD.76.043006
[12] Sereno, M.: Influence of the cosmological constant on gravitational lensing in small systems. Phys. Rev. D 77(4), 043004 (2008) · doi:10.1103/PhysRevD.77.043004
[13] Heydari-Fard, M., Mojahed, S., Rokni, Y.: Light bending in Reissner-Nordstrom-de Sitter black hole by Rindler-Ishak method. Astrophys. Space Sci. 351, 251-253 (2014) · doi:10.1007/s10509-014-1815-0
[14] Sultana, Joseph: Contribution of the cosmological constant to the bending of light in the Kerr-de Sitter spacetime. Phys. Rev. D 88, 042003 (2013) · doi:10.1103/PhysRevD.88.042003
[15] Kraniotis, G.: Precise analytic treatment of Kerr and Kerr-(anti) de Sitter black holes as gravitational lenses. Class. Quantum Gravity 28(8), 085021 (2011) · Zbl 1216.83037 · doi:10.1088/0264-9381/28/8/085021
[16] Kraniotis, G.: Frame dragging and bending of light in Kerr and Kerr-(anti) de Sitter spacetimes. Class. Quantum Gravity 22(21), 4391 (2005) · Zbl 1097.83010 · doi:10.1088/0264-9381/22/21/001
[17] Kraniotis, G.: Gravitational lensing and frame dragging of light in the Kerr-Newman and the Kerr-Newman (anti) de Sitter black hole spacetimes. Gen. Relativ. Gravit. 46(11), 1818 (2014) · Zbl 1308.83034 · doi:10.1007/s10714-014-1818-8
[18] Simpson, F., Peacock, J.A., Heavens, A.F.: On lensing by a cosmological constant. Mon. Notices R. Astron. Soc. 402, 2009-2016 (2010) · doi:10.1111/j.1365-2966.2009.16032.x
[19] Bhadra, A., Biswas, S., Sarkar, K.: Gravitational deflection of light in the Schwarzschildde Sitter space-time. Phys. Rev. D 82, 063003 (2010) · doi:10.1103/PhysRevD.82.063003
[20] Virbhadra, K.S., Ellis, G.F.: Schwarzschild black hole lensing. Phys. Rev. D 62(8), 084003 (2000) · doi:10.1103/PhysRevD.62.084003
[21] Ishak, M., et al.: A new independent limit on the cosmological constant/dark energy from the relativistic bending of light by galaxies and clusters of galaxies. Mon. Not. R. Astron. Soc. 388(3), 1279-1283 (2008)
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