Classical tests for Weyl gravity: Deflection of light and time delay

被引:90
作者
Edery, A [1 ]
Paranjape, MB [1 ]
机构
[1] Univ Montreal, Dept Phys, Grp Phys Particules, Montreal, PQ H3C 3J7, Canada
来源
PHYSICAL REVIEW D | 1998年 / 58卷 / 02期
关键词
D O I
10.1103/PhysRevD.58.024011
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Weyl gravity has been advanced in the recent past as an alternative to general relativity. The theory has had some success in fitting galactic rotation curves without the need for copious amounts of dark matter. To check the viability of Weyl gravity, we propose two additional classical tests of the theory: the deflection of light and time delay in the exterior of a static spherically symmetric source. The result for the deflection of light is remarkably simple: in addition to the usual positive (attractive) Einstein deflection of 4GM/r(o), we obtain an extra deflection term of - gamma r(0) where gamma is a constant and r(0) is the radius of closest approach. With a negative gamma, the extra term can increase the deflection on large distance scales (galactic or greater) and therefore imitate the effect of dark matter. Notably, the negative sign required for gamma is opposite to the sign of gamma used to fit galactic rotation curves. The experimental constraints show explicitly that the magnitude of gamma is of the order of the inverse Hubble length something already noted as an interesting numerical coincidence in the fitting of galactic rotation curves. [S0556-2821(98)05514-3].
引用
收藏
页码:240111 / 240118
页数:8
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