We study how the evolution of a dark energy quintessence fluid is modified by the presence of a matter inhomogeneity. To do so, we study linear perturbations of a flat FLRW background containing dust and a slowly rolling scalar field. Under the assumptions of spherical symmetry and a static density contrast, i.e. , we obtain simple analytical solutions for perturbations in the matter and dark energy-dominated epochs. As a consequence, we show that perturbations of the scalar field, if a coupling la Bekenstein is assumed, trigger a spatial dependence of the fine-structure ‘constant’ which then varies as Δα ∝ 1/r. We finally highlight that such variations can be constrained with spectroscopic observations of stars from within our galaxy, therefore offering a new probe of the nature of dark renergy.

我们研究暗能量精华流体的演化如何因物质不均匀性的存在而改变。为此，我们研究了包含灰尘和缓慢滚动的标量场的平坦 FLRW 背景的线性扰动。在球对称和静态密度对比的假设下，即，我们获得了物质和暗能量主导时代中扰动的简单解析解。因此，我们显示的标量场的该扰动，如果耦合LA贝肯斯坦假设，触发空间微细结构“恒定”，然后作为变化Δ的依赖性α α1 / [R. 我们最后强调，这种变化可以通过对银河系内恒星的光谱观察来限制，因此提供了对暗能量本质的新探索。