arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0809.1819astro-phgr-qc
收藏

关于宇宙学常数的透镜效应

On lensing by a cosmological constant

Fergus Simpson, John A. Peacock, Alan F. Heavens

摘要:

最近的几篇论文提出,宇宙学常数λ直接影响光的引力偏转。我们把这个问题在宇宙学的背景下,推导出一个表达式的线性势控制宇宙弯曲的光,发现它没有明确的依赖于宇宙学常数。为了探讨在静态Kottler度规中出现的明显的依赖于λ的势的物理起源,我们强调了导致光行差的两个经典效应。第一个与观察者相对于源的运动有关,并包含了熟悉的角直径距离的概念。第二项,这已被证明是争论的根源,来自宇宙加速,但很少被考虑,因为它消失的光子径向运动。这种明显的光弯曲形式,即使在平坦均匀的宇宙中,也会出现弯曲的测地线。然而,这不能被解释为真正的透镜效应,因为它的值取决于观察者的参考系。因此,我们的结论是,在包含λ的宇宙中,引力透镜的标准结果不需要修改,λ的任何影响都被限制在可以忽略的高阶项。

英文摘要:

Several recent papers have suggested that the cosmological constant Lambda directly influences the gravitational deflection of light. We place this problem in a cosmological context, deriving an expression for the linear potentials which control the cosmological bending of light, finding that it has no explicit dependence on the cosmological constant. To explore the physical origins of the apparent Lambda-dependent potential that appears in the static Kottler metric, we highlight the two classical effects which lead to the aberration of light. The first relates to the observer's motion relative to the source, and encapsulates the familiar concept of angular-diameter distance. The second term, which has proved to be the source of debate, arises from cosmic acceleration, but is rarely considered since it vanishes for photons with radial motion. This apparent form of light-bending gives the appearance of curved geodesics even within a flat and homogeneous universe. However this cannot be construed as a real lensing effect, since its value depends on the observer's frame of reference. Our conclusion is thus that standard results for gravitational lensing in a universe containing Lambda do not require modification, with any influence of Lambda being restricted to negligible high-order terms.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑