2020/12/29 by Nasser Boroojerdian, Boroojerdian, Nasser
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Cosmology and Gravitation Theories #Relativity and Gravitational Theory #gr-qc #math-ph #math.MP #msc:83Exx
paper · pdf · doi:10.48550/arxiv.2012.14930
17 pages, 1 figure. arXiv admin note: text overlap with arXiv:2011.07382
arxiv created 2021/01/14 · arxiv updated 2021/01/18
In this paper, we use the notion of super tangent bundle for a space-time manifold, and use super metrics on it to model gravity and some types of matter that is the source of the gravity and can be interpreted as dark matter. In this view, gravity is an effect of the symmetric part of the super metric and dark matter is an effect of the symplectic part of the super metric. So, dark matter can be considered as a result of the odd part of the super space-time. We use variation of the Hilbert action to derive field equations for interaction of gravity and matter and investigate some of the results. We also construct some solution for these equations.