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In this work we study the high-energy Higgs boson phenomenology associated to the non-metricity scale $\Lambda_Q$ at the LHC. Non-metricity is present in more generic non-Riemannian geometries describing gravity beyond General Relativity…

High Energy Physics - Phenomenology · Physics 2022-09-28 Victor Ilisie

Non-local gravity can potentially solve several problems of gravitational field both at Ultra-Violet and Infra-Red scales. However, such an approach has been formulated mainly in metric formalism. In this paper, we discuss non-local…

General Relativity and Quantum Cosmology · Physics 2026-01-12 Salvatore Capozziello , Damianos Iosifidis

The intriguing choice to treat alternative theories of gravity by means of the Palatini approach, namely elevating the affine connection to the role of independent variable, contains the seed of some interesting (usually under-explored)…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Vincenzo Vitagliano

Here we consider a metric-affine theory of gravity in which the gravitational Lagrangian is the scalar curvature. The matter action is allowed to depend also on the torsion and the nonmetricity, which are considered as the field variables…

General Relativity and Quantum Cosmology · Physics 2013-07-17 F. F. Faria

We consider the metric-affine formulation of bumblebee gravity, derive the field equations, and show that the connection can be written as Levi-Civita of a disformally related metric in which the bumblebee field determines the disformal…

High Energy Physics - Theory · Physics 2022-02-01 Adrià Delhom , J. R. Nascimento , Gonzalo J. Olmo , A. Yu. Petrov , Paulo. J. Porfírio

We study the potential effects of spacetime non-metricity in cosmology. In the spirit of Einstein-Cartan gravity, but with non-metricity replacing torsion, we consider the Einstein-Hilbert action and assume zero torsion. Adopting certain…

General Relativity and Quantum Cosmology · Physics 2023-03-29 Damianos Iosifidis , Ioannis Georgios Vogiatzis , Christos G. Tsagas

In this work, we show that a class of metric-affine gravities can be reduced to a Riemann-Cartan one. The reduction is based on the cancelation of the nonmetricity against the symmetric components of the spin connection. A heuristic proof,…

High Energy Physics - Theory · Physics 2010-12-17 R. F. Sobreiro , V. J. Vasquez Otoya

We study f(R,T) theories of gravity, where T is the trace of the energy-momentum tensor T_{\mu\nu}, with independent metric and affine connection (metric-affine theories). We find that the resulting field equations share a close resemblance…

General Relativity and Quantum Cosmology · Physics 2018-05-28 E. Barrientos , Francisco S. N. Lobo , S. Mendoza , Gonzalo J. Olmo , D. Rubiera-Garcia

We consider the metric-affine formulation of bumblebee gravity, derive the field equations, and show that the connection can be written as Levi-Civita of a disformally related metric in which the bumblebee field determines the disformal…

High Energy Physics - Theory · Physics 2025-10-13 Adria Delhom , J. R. Nascimento , Gonzalo J. Olmo , A. Yu. Petrov , Paulo. J. Porfírio

This work provides a short but comprehensible overview of some relevant aspects of metric-affine theories of gravity in relation to the physics and astrophysics of compact objects. We shall highlight the pertinence of this approach to…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Diego Rubiera-Garcia

We investigate non-metricity effects on electron scattering in metric-affine bumblebee gravity, where spontaneous Lorentz symmetry breaking is induced by a vector field acquiring a nonzero vacuum expectation value. Treating the affine…

General Relativity and Quantum Cosmology · Physics 2026-03-18 A. A. Araújo Filho

We study gravity with torsion in extra dimensions and derive an effective four-dimensional theory containing four-fermion contact operators at the fundamental scale of quantum gravity in the TeV range. These operators may have an impact on…

High Energy Physics - Phenomenology · Physics 2014-07-07 Oscar Castillo-Felisola , Cristobal Corral , Sergey Kovalenko , Ivan Schmidt

Less explored than their metric (Riemannian) counterparts, metric-affine (or Palatini) theories bring an unexpected phenomenology for gravitational physics beyond General Relativity. Lessons of crystalline structures, where the presence of…

General Relativity and Quantum Cosmology · Physics 2015-07-31 Gonzalo J. Olmo , D. Rubiera-Garcia

Non-metricity provides a natural extension of Riemannian geometry, yet its experimental signatures remain largely unexplored. In this work we investigate how spacetime non-metricity can be probed through high-precision observations,…

General Relativity and Quantum Cosmology · Physics 2026-01-28 Mohsen Khodadi , Emmanuel N. Saridakis

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…

General Relativity and Quantum Cosmology · Physics 2022-12-26 Damianos Iosifidis , Ratbay Myrzakulov , Lucrezia Ravera , Gulmira Yergaliyeva , Koblandy Yerzhanov

In a geometrical approach to gravity the metric and the (gravitational) connection can be independent and one deals with metric-affine theories. We construct the most general action of metric-affine effective field theories, including a…

High Energy Physics - Theory · Physics 2022-12-16 Gianfranco Pradisi , Alberto Salvio

This Thesis is devoted to the study of Metric-Affine Theories of Gravity and Applications to Cosmology. The thesis is organized as follows. In the first Chapter we define the various geometrical quantities that characterize a non-Riemannian…

General Relativity and Quantum Cosmology · Physics 2019-02-27 Damianos Iosifidis

We call a manifold with torsion and nonmetricity the metric-affine manifold. The nonmetricity leads to a difference between the auto parallel line and the extreme line, and to a change in the expression of the Frenet transport and moving…

General Relativity and Quantum Cosmology · Physics 2008-02-29 Aleks Kleyn

We formulate cosmological perturbation theory around the spatially curved FLRW background in the context of metric-affine gauge theory of gravity which includes torsion and nonmetricity. Performing scalar-vector-tensor decomposition of the…

General Relativity and Quantum Cosmology · Physics 2024-07-18 Katsuki Aoki , Sebastian Bahamonde , Jorge Gigante Valcarcel , Mohammad Ali Gorji

Metric-affine theories of gravity provide an interesting alternative to General Relativity: in such an approach, the metric and the affine (not necessarily symmetric) connection are independent quantities. Furthermore, the action should…

General Relativity and Quantum Cosmology · Physics 2012-11-08 Vincenzo Vitagliano , Thomas P. Sotiriou , Stefano Liberati
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