Born-regulated理论中的光线偏转

Deviation of Light Path in Born-regulated Gravity in Four Dimension

根据爱因斯坦的引力场理论,当光线通过引力场时受到引力的作用而发生偏转.对光线在引力场中偏转的研究有助于解决引力透镜问题,对研究宇宙中的暗能量也是有意义的.根据Born-regulated引力理论的时空度规来研究光线偏折.推导Born-regulated理论中的光线偏转角为Δφ≈4rmMin-r4mMin49rk6m2inβ.很明显,结果显示当β→0和k→0时,Δφ→4rmMin,这正是由爱因斯坦理论推导出的结果,说明当参量β→0和k→0时,Born-regulated理论回到爱因斯坦的广义相对论.

Deviation of light from its straight path is caused by the presence of massive objects, i. e. , the presence of gravitational field according to the general theory of relativity. It is shown that the low energy effective field theory on D-branes is of Born-regulated gravity theories. In this work a Born-regulated type gravitational field is postulated. According to the space time metric in the Born-regulated gravity theory, An explicit representation of the angular deviation of light path is derived. A Born-regulated type theory of gravitational field is postulated, and an explicit representation of the angular deviation of light path is derived,△φ≈4M/rmin-（4M/rmin）^49k^2β/r^6min.Clearly, the result shows that β→Oandk→O,△φ→4M/rmin which is iust the result from the Einstein＇ s general relativity theory.