http://arxiv.org/abs/1312.7419
Perihelion precession of Mercury and starlight deflection in the solar system are two well-known phenomenons. Since they can give the evidences to show the correctness of general relativity in the history, these two phenomenons become important. In this paper, we first generalize the perihelion precession and starlight deflection to the general spherical symmetry spacetime, and hence obtain the main equation. Then, we choose the Schwarzchild-AdS solution and Reissner-Nordstorm solution as two special spherical symmetry spacetimes to discuss the probable effects from the cosmological constant and electric charge on the perihelion precession and starlight deflection. Our results show that the cosmological constant can affect the precession angle of perihelion, while it does not affect the deflection angle of starlight. For the electric charge, it can both affect the two angles. Furthermore, we also give some discussions according to the experiment data.
Tue, 31 Dec 13
33/49
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