Metric-Affine Vector–Tensor correspondence and implications in F(R,T,Q,T,D) gravity
Iosifidis D. Myrzakulov R. Ravera L. Yergaliyeva G. Yerzhanov K.
September 2022Elsevier B.V.
Physics of the Dark Universe
2022#37
We extend the results of antecedent literature on quadratic Metric-Affine Gravity by studying a new quadratic gravity action in vacuum which, besides the usual (non-Riemannian) Einstein–Hilbert contribution, involves all the parity even quadratic terms in torsion and non-metricity plus a Lagrangian that is quadratic in the field-strengths of the torsion and non-metricity vector traces. The theory results to be equivalent, on-shell, to a Vector–Tensor theory. We also discuss the sub-cases in which the contribution to the Lagrangian quadratic in the field-strengths of the torsion and non-metricity vectors just exhibits one of the aforementioned quadratic terms. We then report on cosmological aspects of the general quadratic theory in the presence of a perfect cosmological hyperfluid and on implications of our findings in the context of F(R,T,Q,T,D) gravity.
Alternative theories of gravity and applications , Metric affine gravity , Modified gravity , Proca fields
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Institute of Theoretical Physics, Department of Physics, Aristotle University of Thessaloniki, Thessaloniki, 54124, Greece
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics, Nur-Sultan, 010009, Kazakhstan
Eurasian National University, Nur-Sultan, 010008, Kazakhstan
DISAT, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino, 10129, Italy
INFN, Sezione di Torino, Via P. Giuria 1, Torino, 10125, Italy
Institute of Theoretical Physics
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics
Eurasian National University
DISAT
INFN
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