2021
DOI: 10.48550/arxiv.2111.14214
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Metric-Affine Vector-Tensor Correspondence and Implications in $F(R,T,Q,\mathcal{T},\mathcal{D})$ gravity

Damianos Iosifidis,
Ratbay Myrzakulov,
Lucrezia Ravera
et al.

Abstract: 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 result to be equivalent, on-shell, to a Vector-Tensor theory. We also discuss the sub-cases in which the contributi… Show more

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“…Reference [47] has investigated the observational restrictions on metric-affine F(R, T )-gravity. In [48][49][50][51][52][53][54], several metric-affine gravity theories and their applications are covered.…”
Section: Introductionmentioning
confidence: 99%
“…Reference [47] has investigated the observational restrictions on metric-affine F(R, T )-gravity. In [48][49][50][51][52][53][54], several metric-affine gravity theories and their applications are covered.…”
Section: Introductionmentioning
confidence: 99%