Cosmology of Metric‐Affine R+βR2$R + \beta R^2$ Gravity with Pure Shear Hypermomentum

Damianos Iosifidis, Ratbay Myrzakulov, Lucrezia Ravera

2023

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DOI 10.1002/prop.202300003

Data confidence 70 medium

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Abstract

Abstract 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.