On the dilation current in metric-affine gravity

We review F(R,D) gravity in the metric-affine framework, where D is the divergence of the dilation current appearing in the hypermomentum tensor. We assume only linear couplings between the general affine connection and the matter fields (minimal coupling) and break projective invariance to preserve...

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Bibliographic Details
Published in:Annals of physics 2024-06, Vol.465, p.169664, Article 169664
Main Authors: Kenzhalin, D., Myrzakul, S., Myrzakulov, R., Ravera, L.
Format: Article
Language:English
Subjects:
Cosmological hyperfluid
Dilation current
Hypermomentum
Metric-affine gravity
Modified gravity
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Summary:We review F(R,D) gravity in the metric-affine framework, where D is the divergence of the dilation current appearing in the hypermomentum tensor. We assume only linear couplings between the general affine connection and the matter fields (minimal coupling) and break projective invariance to preserve a nonvanishing dilation current. For F(R,D) linear in D the dilation current dependence in the function F(R,D) does not contribute to the field equations of the theory. We show that, on the other hand, in more complicated cases (e.g., considering the function F(R,D)=R+αD2), the D contribution to the metric field equations is nontrivial and can affect the cosmology of the theory. •Study of F(R,D) metric-affine gravity (dilation current hypermomentum).•Minimal coupling assumed.•For F=R+αD2 the D contribution affects the cosmology.•Increase or decrease in energy density depending on the sign of α.
ISSN:0003-4916
1096-035X
DOI:10.1016/j.aop.2024.169664