Semi-Symmetric Metric Gravity: From the Friedmann–Schouten geometry with torsion to dynamical dark energy models

L Csillag, T Harko - Physics of the Dark Universe, 2024 - Elsevier
In this paper, we develop a geometric generalization of General Relativity based on the semi-
symmetric metric connection introduced by Friedmann and Schouten in 1924. Although the …

Geometric Relational Framework for General‐Relativistic Gauge Field Theories

JT François, L Ravera - Fortschritte der Physik, 2024 - Wiley Online Library
It is recalled how relationality arises as the core insight of general‐relativistic gauge field
theories from the articulation of the generalized hole and point‐coincidence arguments …

Cosmological implications of Rastall- theory

S Shahidi - Physical Review D, 2021 - APS
Cosmological implications of a generalized Rastall theory where the nonconservation
equation is promoted to accept arbitrary functions of the Ricci scalar is considered. We have …

Cartan geometry, supergravity, and group manifold approach

J François, L Ravera - arXiv preprint arXiv:2402.11376, 2024 - arxiv.org
We make a case for the unique relevance of Cartan geometry for gauge theories of gravity
and supergravity. We introduce our discussion by recapitulating historical threads, providing …

Study of particle creation with quadratic equation of state in higher derivative theory

GP Singh, AR Lalke, N Hulke - Brazilian Journal of Physics, 2020 - Springer
We investigate the effect of particle creation in flat Friedmann-Lemaitre-Robertson-Walker
(FLRW) spacetime under the higher derivative theory composition. The exact solution of the …

Newman-Penrose formalism and exact vacuum solutions to conformal Weyl gravity

P Jizba, K Mudruňka - Physical Review D, 2024 - APS
We study the exterior solution for a static, spherically symmetric source in Weyl conformal
gravity in terms of the Newman-Penrose formalism. We first show that both the static …

The dressing field method of gauge symmetry reduction, a review with examples

J Attard, J François, S Lazzarini, T Masson - Foundations of mathematics …, 2018 - Springer
Gauge symmetries are a cornerstone of modern physics but they come with technical
difficulties when it comes to quantization, to accurately describe particles phenomenology or …

The Maxwell–Chern–Simons gravity, and its cosmological implications

Z Haghani, T Harko, S Shahidi - The European Physical Journal C, 2017 - Springer
We consider the cosmological implications of a gravitational theory containing two vector
fields coupled via a generalized Chern–Simons term. One of the vector fields is the usual …

Weyl gravity revisited

E Alvarez, S Gonzalez-Martin - Journal of Cosmology and …, 2017 - iopscience.iop.org
The on shell equivalence of first order and second order formalisms for the Einstein-Hilbert
action does not hold for those actions quadratic in curvature. It would seem that by …

A first-order approach to conformal gravity

TG Złośnik, HF Westman - Classical and Quantum Gravity, 2017 - iopscience.iop.org
We investigate whether a spontaneously-broken gauge theory of the group $ SU (2, 2) $
may be a viable alternative to general relativity. The basic ingredients of the theory are an …