论文标题
太阳系相对性测试,中央质量的光偏转公式以及晶状体方程的修改
Solar system relativity tests, formulas for light deflection by a central mass, and modification of the lens equation, for a Weyl scaling invariant dark energy
论文作者
论文摘要
我们使用Adler和Ramazano \ vglu在这种情况下获得的修改后的Schwarzschild类似球形对称的解决方案,估计“暗能”的“暗能量”时太阳系测试的变化。我们表明,一般相对性的标准结果被远低于当前实验误差的量所改变。但是,由于当中央质量$ m $消失时,该指标并不是合格的,因此与宇宙常数$λ$成正比的光偏转有贡献,其符号与与$ m $成比例的符号相反。这可能对宇宙学环境中的重力镜头有影响,因此我们计算了针对重力镜头的“镜头方程”的相应校正。我们还假设中央质量的外部区域具有参数化的球形对称度量,我们还通过$λm$给出光偏转角度。
We estimate the changes in solar system tests of general relativity when "dark energy" arises from a Weyl scaling invariant action, using the modified Schwarzschild-like spherically symmetric solution obtained in this case by Adler and Ramazano\vglu. We show that the standard results of general relativity are modified by amounts that are far below current experimental errors. However, because the metric is not conformally flat when the central mass $M$ vanishes, there is a contribution to light deflection proportional to the cosmological constant $Λ$, with opposite sign to the one proportional to $M$. This could have implications for gravitational lensing in cosmological contexts, so we have calculated the corresponding correction to the "lens equation" for gravitational lensing. We also give formulas for the light deflection angle through order $ΛM$, assuming a parameterized spherically symmetric metric for the external region of the central mass.