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Extended general relativity: Large-scale antigravity and short-scale gravitywith ω = -1 from five-dimensional vacuum

机译:广义相对论:五维真空中ω= -1时的大反重力和小反重力

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摘要

Considering a five-dimensional (5D) Riemannian spacetime with a particular stationary Ricci-flat metric,we obtain in the framework of the induced matter theory an effective 4D static and spherically symmetricmetric which give us ordinary gravitational solutions on small (planetary and astrophysical) scales, butrepulsive (anti gravitational) forces on very large (cosmological) scales with ω= -1. Our approach is anunified manner to describe dark energy, dark matter and ordinary matter. We illustrate the theory withtwo examples, the solar system and the great attractor. From the geometrical point of view, these resultsfollow from the assumption that exists a confining force that make possible that test particles move ona given 4D hypersurface.
机译:考虑具有特定平稳Ricci平面度量的五维(5D)黎曼时空,我们在诱导物质理论的框架内获得了有效的4D静态和球对称性,这为我们提供了小(行星和天体)尺度上的常规引力解,在ω= -1的非常大(宇宙学)尺度上具有反斥(反重力)力。我们的方法是用统一的方式描述暗能量,暗物质和普通物质。我们用两个例子,太阳系和巨大吸引子来说明这个理论。从几何学的角度来看,这些结果遵循的假设是存在一个约束力,该约束力使测试粒子可以在给定的4D超曲面上移动。

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