论文标题
方形重力，暗物质光环和Baryonic Tully-Fisher关系
Square-torsion gravity, dark matter halos and the baryonic Tully-Fisher relation
论文作者
论文摘要
正方形的重力应用于长期存在的暗物质问题。在这种情况下，由于时空的扭曲，理论降低了一般相对论，并以深色应力能量张量辅助，并根据球形对称性的简化假设进行了研究。发现暗应力能量张量可以满足各向异性结构方程。在真空中，这表明这等同于带有源的波动方程。发现了一类精确的溶液，通过满足A（1+1）维波方程的共形因子，明确地将任何种子时空度量列出。这导致了黑暗涂层的概念。然后，静态溶液用于构建对围绕重的男体的暗物质光晕的结构。在牛顿régime中，Baryonic Mass $ M_B $和Flat Rotation Curve Velocity $ V_F $发现与Baryonic Tully-Fisher关系$ M_B \ m_b \ propto v_f^4 $相关。因此，目前的工作提出了迄今纯粹经验结果的理论动机。 Schwarzschild几何形状上的暗光晕的例子是Galaxy的玩具模型。所有定性均回收了银河旋转曲线的定量特征。 Schwarzschild黑洞周围有一个深色光环，它具有位于光子球和事件视野之间的称为扭转球的静态边界。黑暗辐射的现象短暂暴露。然后，通过展示哈勃扩展是该理论的自然特征，从而打开宇宙应用的方式。
Square-torsion gravity is applied to the long standing dark matter problem. In this context the theory reduces to General Relativity complemented by a dark stress-energy tensor due to the torsion of spacetime and is studied under the simplifying assumption of spherical symmetry. The dark stress-energy tensor is found to satisfy an anisotropic structure equation. In vacuum this is shown to be equivalent to a wave equation with sources. A natural class of exact solutions is found which explicitly perturbs any seed spacetime metric by a conformal factor satisfying a (1+1)-dimensional wave equation. This leads to the concept of dark coating. The static solutions are then used to construct structures that model dark matter halos surrounding baryonic bodies. In the Newtonian régime the baryonic mass $m_b$ and the flat rotation curve velocity $v_f$ are found to be related by the baryonic Tully-Fisher relation $m_b\propto v_f^4$. The present work proposes thus a possible theoretical motivation of this hitherto purely empirical result. The example of a dark halo on the Schwarzschild geometry is made as a toy model for a galaxy. All qualitative an quantitative features of galactic rotation curves are recovered. A dark halo surrounding a Schwarzschild black hole is found to possess a boundary of staticity called torsion sphere placed between the photon sphere and the event horizon. The phenomenon of dark radiation is briefly exposed. The way for cosmological applications is then opened by showing how Hubble expansion is a natural feature of the theory.
