论文标题
来自衍生品扩展的太阳系，天体物理学和宇宙学
Solar System, Astrophysics, and Cosmology from the Derivative Expansion
论文作者
论文摘要
在本文中，我们展示了太阳系，银河系和宇宙学量表如何在一个框架中，即在衍生膨胀框架中。我们基于爱因斯坦方程和衍生膨胀方法构建了局部惯性的静态度量，该方法描述了浸入深色物质和深色能量中的Schwarzschild黑洞。扩展中的领先顺序指标对应于太阳系，银河系的一阶度量以及宇宙学的二阶度量。 It is shown how this metric captures the main observations at each scale: in the solar system it trivially gives the Keplerian physics, in the galaxy it gives the flat part of the rotation curve and the Baryonic Tully-Fisher relation, and in the cosmological scale it gives the cosmological redshift, the accelerating expansion, and it coincides with the Robertson-Walker spacetime in the appropriate limit and approximation.
In this paper we show how the solar system, the galactic, and the cosmological scales, are accommodated in a single framework, namely, in the derivative expansion framework. We construct a locally inertial static metric, based on the Einstein equations and on the derivative expansion method, which describes a Schwarzschild black hole immersed in dark matter and dark energy. The leading order metric in the expansion corresponds to the solar system, the first order metric to the galaxy, and the second order metric to cosmology. It is shown how this metric captures the main observations at each scale: in the solar system it trivially gives the Keplerian physics, in the galaxy it gives the flat part of the rotation curve and the Baryonic Tully-Fisher relation, and in the cosmological scale it gives the cosmological redshift, the accelerating expansion, and it coincides with the Robertson-Walker spacetime in the appropriate limit and approximation.
