标题： 度规-仿射宇宙学：完美（理想）宇宙超流体的动力学与首次积分 显示英文标题

标题： Metric-Affine Cosmologies: Kinematics of Perfect (Ideal) Cosmological Hyperfluids and First Integrals

摘要： 我们考虑了一个通用的度规-仿射宇宙学设定，并分类了一些特别有趣的完美超流体的具体情形。 特别是，我们给出了纯自旋流体、纯膨胀流体和纯剪切流体情况下的守恒定律形式。 我们还发展了不可压缩超流体的概念，并特别关注了保持超动量的超流体情形。 此外，我们通过物质-联络耦合给出了自旋、膨胀和剪切电流产生的一个具体例子。 另外，从包含挠率和非度量性的标度因子广义加速度方程出发，我们得到了一个运动积分，将其与其余的超流体变量联系起来。 这些结果随后正式化了宇宙学中非黎曼效应的分析。 显示英文摘要

摘要： We consider a generic Metric-Affine Cosmological setup and classify some particularly interesting specific cases of Perfect Hyperfluids. In particular, we present the form of conservation laws for the cases of pure spin, pure dilation and pure shear fluids. We also develop the concept of an incompressible hyperfluid and pay special attention to the case of a hypermomentum preserving hyperfluid. We also give a specific example on the emergence of the spin, dilation and shear currents through matter-connection couplings. In addition, starting from the generalized acceleration equation for the scale factor including torsion and non-metricity we provide a first integral of motion relating the latter with the rest of the hyperfluid variables. These results then formalize the analysis of the non-Riemannian effects in Cosmology.