On the dilation current in metric-affine gravity
Kenzhalin D. Myrzakul S. Myrzakulov R. Ravera L.
June 2024Academic Press Inc.
Annals of Physics
2024#465
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.
Cosmological hyperfluid , Dilation current , Hypermomentum , Metric-affine gravity , Modified gravity
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LN Gumilyov Eurasian National University, Nur-Sultan, 010008, Kazakhstan
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics, Nur-Sultan, 010009, Kazakhstan
DISAT, Politecnico di Torino – PoliTo, Corso Duca degli Abruzzi 24, Torino, 10129, Italy
Istituto Nazionale di Fisica Nucleare, Section of Torino – INFN, Via P. Giuria 1, Torino, 10125, Italy
Grupo de Investigación en Física Teórica – GIFT, Concepción, Chile
LN Gumilyov Eurasian National University
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics
DISAT
Istituto Nazionale di Fisica Nucleare
Grupo de Investigación en Física Teórica – GIFT
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