In this paper, cosmological aspects of metric-affine gravity with hyperfluid are studied. The equations of motion of the theory are obtained by varying the action with respect to the metric and the independent connection. Subsequently, considering a Friedmann-Lemaître-Robertson-Walker background, the modified Friedmann equations in the presence of a perfect cosmological hyperfluid is derived. Especially, a particular case in which is focused, considering purely shear hypermomentum and finding exact solutions in the weak coupling limit.

中文翻译：

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具有纯剪切高动量的公制仿射 R+βR2 引力的宇宙学

在本文中，度量仿射的宇宙学方面研究了超流体的重力。该理论的运动方程是通过改变相对于度量和独立连接的作用而获得的。随后，考虑到 Friedmann-Lemaître-Robertson-Walker 背景，导出了完美宇宙超流体存在下的修正 Friedmann 方程。特别是，一个特殊的情况，其中重点关注纯剪切超动量并在弱耦合极限下找到精确解。