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General Relativity and Quantum Cosmology

arXiv:0711.0633 (gr-qc)
[Submitted on 5 Nov 2007 (v1), last revised 13 Feb 2008 (this version, v3)]

Title:Gravitational Lensing Analyzed by Graded Refractive Index of Vacuum

Authors:Xing-Hao Ye, Qiang Lin
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Abstract: We found strong similarities between the gravitational lensing and the conventional optical lensing. The similarities imply a graded refractive index description of the light deflection in gravitational field. We got a general approach to this refractive index in a static spherically symmetric gravitational field and obtained its exterior and interior solutions exactly through the general relativity. In weak field case, the two solutions come to a simple unified exponential function of the gravitational potential. With these results, the gravitational lensing can be analyzed in a convenient optical way. Especially, the long puzzling problem of the central image missing can be solved easily. We also pointed out that the graded refraction property of the gravitational spacetime is related to the vacuum influenced by the gravitational matter.
Comments: Added an appendix for deriving Eqs. (11) and (12) in detail
Subjects: General Relativity and Quantum Cosmology (gr-qc)
Cite as: arXiv:0711.0633 [gr-qc]
  (or arXiv:0711.0633v3 [gr-qc] for this version)
  https://doi.org/10.48550/arXiv.0711.0633
Related DOI: https://doi.org/10.1088/1464-4258/10/7/075001

Submission history

From: Xing-Hao Ye [view email]
[v1] Mon, 5 Nov 2007 13:39:11 UTC (224 KB)
[v2] Fri, 30 Nov 2007 12:12:40 UTC (502 KB)
[v3] Wed, 13 Feb 2008 03:22:14 UTC (527 KB)
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