Coupling metric-affine gravity to the standard model and dark matter fermions

C Rigouzzo, S Zell - Physical Review D, 2023 - APS
General relativity (GR) exists in different formulations, which are equivalent in pure gravity.
Once matter is included, however, observable predictions generically depend on the version …

Energy and entropy in the geometrical trinity of gravity

DA Gomes, JB Jiménez, TS Koivisto - Physical Review D, 2023 - APS
All energy is gravitational energy. That is the consequence of the equivalence principle,
according to which gravity is the universal interaction. The physical charges of this …

Manifestly covariant variational principle for gauge theories of gravity

MP Hobson, AN Lasenby, WEV Barker - Physical Review D, 2024 - APS
A variational principle for gauge theories of gravity is presented, which maintains manifest
covariance under the symmetries to which the action is invariant, throughout the calculation …

Projective transformations in metric-affine and Weylian geometries

D Sauro, R Martini, O Zanusso - arXiv preprint arXiv:2208.10872, 2022 - arxiv.org
We discuss generalizations of the notions of projective transformations acting on affine
model of Riemann-Cartan and Riemann-Cartan-Weyl gravity which preserve the projective …

Asymptotically safe Hilbert–Palatini gravity in an on-shell reduction scheme

H Gies, AS Salek - The European Physical Journal C, 2023 - Springer
We study the renormalization flow of Hilbert–Palatini gravity to lowest non-trivial order. We
find evidence for an asymptotically safe high-energy completion based on the existence of …

Conformally covariant operators of mixed-symmetry tensors and MAGs

G Paci, D Sauro, O Zanusso - Classical and Quantum Gravity, 2023 - iopscience.iop.org
We compute conformally covariant actions and operators for tensors with mixed symmetries
in arbitrary dimension d. Our results complete the classification of conformal actions that are …

Covariant spin-parity decomposition of the torsion and path integrals

R Martini, G Paci, D Sauro - Classical and Quantum Gravity, 2023 - iopscience.iop.org
We propose a functional measure over the torsion tensor. We discuss two completely
equivalent choices for the Wheeler–DeWitt supermetric for this field, the first one is based on …

Local scale symmetry in non-riemannian geometry based gravitational theories and the role of the noether current

R Gonzalez Quaglia, I Quiros - Physical Review D, 2023 - APS
In this paper, we delve into the significance of local scale symmetry and the role of the
associated noether current, within gravitational theories which are based in non-riemannian …

Consequences of gauging the Weyl symmetry and the two-dimensional conformal anomaly

O Zanusso - Physical Review D, 2023 - APS
We discuss the generalization of the local renormalization group approach to theories in
which Weyl symmetry is gauged. These theories naturally correspond to scale-invariant …

Translation gauge field theory of gravity in Minkowski spacetime

H Li, P Wang - Chinese Physics C, 2023 - iopscience.iop.org
Abstract The gravitational field $ h_ {\mu\nu} $ with spin-2 is introduced naturally by the
requirement that the Lagrangian is locally translation invariant in Minkowski spacetime. The …