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

Author:

Iosifidis Damianos12,Myrzakulov Ratbay34,Ravera Lucrezia56ORCID

Affiliation:

1. Laboratory of Theoretical Physics, Institute of Physics University of Tartu W. Ostwaldi 1 Tartu 50411 Estonia

2. Institute of Theoretical Physics, Department of Physics Aristotle University of Thessaloniki Thessaloniki 54124 Greece

3. Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics Nur‐Sultan 010009 Kazakhstan

4. Eurasian National University Nur‐Sultan 010008 Kazakhstan

5. DISAT Politecnico di Torino Corso Duca degli Abruzzi 24 Turin 10129 Italy

6. INFN Sezione di Torino Via P. Giuria 1 Turin 10125 Italy

Abstract

AbstractIn 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.

Funder

Eesti Teadusagentuur

Instituto Nazionale di Fisica Nucleare

Ministry of Education and Science of the Republic of Kazakhstan

Publisher

Wiley

Subject

General Physics and Astronomy

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