Bigravity：宇宙的双度量模型。正负引力透镜
Bigravity : A bimetric model of the Universe. Positive and negative gravitational lensings
摘要：
在对我们的双度规宇宙模型进行了简要的总结之后，建立了一个精确的非线性解，证明了我们的两个耦合场方程组解的存在性。除了经典的正引力透镜，这个解决方案也被证明会导致负的引力透镜，这是一种以前在1995年描述过的现象（天体物理学和空间科学）。这种负透镜效应为观测到的高红移星系的微弱星等提供了另一种解释，到目前为止，高红移星系被认为是矮星系。
英文摘要：
After a short summary of our bimetric model of the Universe, an exact nonlinear solution is built, which demonstrates the existence of solutions for our two coupled field equations system. In addition to the classical positive gravitational lensing, this solution is shown to also lead to negative gravitational lensing, a phenomenon previously described in 1995 (Astrophysics and Space Science). Such negative lensing provides an alternative interpretation for the observed faint magnitudes of high redshift galaxies, so far considered as dwarf galaxies.
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