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Article overview
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Distinguishing f(R) theories from general relativity by gravitational lensing effect | Hongguang Liu
; Xin Wang
; Haida Li
; Yongge Ma
; | Date: |
11 Aug 2015 | Abstract: | The post-Newtonian formulation of a general class of f(R) theories is set up
to 3rd order approximation. It turns out that the information of a specific
form of f(R) gravity is encoded in the Yukawa potential, which is contained in
the perturbative expansion of the metric components. It is shown that the
Yukawa potantial does appear in the 3rd order expression of the effective
refraction index of light, although it is cancelled in the 2nd order
expression. Therefore the f(R) theories are distinguishable from general
relativity by gravitational lensing effect at the 3rd order post-Newtonian
approximation. Our result opens the possibility to bring new insights into the
issue of dark matter from f(R) gravity. | Source: | arXiv, 1508.2647 | Services: | Forum | Review | PDF | Favorites |
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