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We propose a first-order geometric Lagrangian for four-dimensional conformal gravity within the Cartan formulation, which yields, dynamically, the standard constraints on the fields, expected for conformal gravity. Upon imposing the…

High Energy Physics - Theory · Physics 2026-02-11 L. Andrianopoli , R. D'Auria , G. Grosso , L. Ravera

We consider a theory of gravity with a hidden extra-dimension and metric-dependent torsion. A set of physically motivated constraints are imposed on the geometry so that the torsion stays confined to the extra-dimension and the…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Karthik H. Shankar , Anand Balaraman , Kameshwar C. Wali

Dark matter is obtained from a scalar field coupled conformally to gravitation; the scalar being a relict of Dirac's gauge function. This conformally coupled dark matter includes a gas of very light ($m\approx 2.25\times 10^{-34} eV$)…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Mark Israelit

Numerous claims in the literature suggest that gravity induced on a higher co-dimensional surface violates unitarity in the weak coupling regime. However, it remained unclear, why a conserved source localized on this surface and giving rise…

High Energy Physics - Theory · Physics 2013-05-30 Felix Berkhahn , Stefan Hofmann , Florian Niedermann

One of the main technical obstacles in constructing a consistent theory of quantum gravity is that the metric itself defines the causal structure required for quantization. This motivates implementing quantum aspects of gravity through an…

General Relativity and Quantum Cosmology · Physics 2025-12-16 Johas Morales , Yuri Bonder

We study self-consistent cosmological solutions for an Einstein Universe in a graph-based induced gravity model. The graph-based field theory has been proposed by the present authors to generalize dimensional deconstruction. In this paper,…

General Relativity and Quantum Cosmology · Physics 2008-01-15 Nahomi Kan , Kiyoshi Shiraishi

One version of the principle of equivalence, as originally formulated by Einstein, states that ``gravity" can be mimicked locally by going to an ``accelerated frame of reference". As highlighted by Synge, the physical content of this…

General Relativity and Quantum Cosmology · Physics 2024-12-16 Dawood Kothawala

We consider some aspects of conformal symmetry in a metric-scalar-torsion system. It is shown that, for some special choice of the action, torsion acts as a compensating field and the full theory is conformally equivalent to General…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. A. Helayel-Neto , A. Penna-Firme , I. L. Shapiro

Motivated by conventional gauge theories, we consider a theory of gravity in which the Einstein-Hilbert action is replaced by a term that is quadratic in the Riemann tensor. We focus on cosmological solutions to the field equations in flat,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. N. Lasenby , C. J. L. Doran , R. Heineke

The possibility of evading Lovelock's theorem at $d=4$, via a singular redefinition of the dimensionless coupling of the Gauss-Bonnet term, has been extensively discussed in the cosmological context. The term is added as a quadratic…

High Energy Physics - Theory · Physics 2022-05-10 Claudio Corianò , Mario Cretì , Stefano Lionetti , Matteo Maria Maglio , Riccardo Tommasi

The cosmological implications of the Covariant Canonical Gauge Theory of Gravity (CCGG) are investigated. CCGG is a Palatini theory derived from first principles using the canonical transformation formalism in the covariant Hamiltonian…

General Relativity and Quantum Cosmology · Physics 2023-12-01 David Vasak , Johannes Kirsch , Jürgen Struckmeier

Conformal symmetries appear in many parts of physics and play a unique role in exploring the Universe. In this work, we consider the possibility of constructing conformal theories of gravity in the Symmetric Teleparallel Gravity framework,…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Viktor Gakis , Martin Krššák , Jackson Levi Said , Emmanuel N. Saridakis

We show how Einstein-Cartan gravity can accommodate both global scale and local scale (Weyl) invariance. To this end, we construct a wide class of models with nonpropagaing torsion and a nonminimally coupled scalar field. In…

High Energy Physics - Theory · Physics 2021-12-08 Georgios K. Karananas , Mikhail Shaposhnikov , Andrey Shkerin , Sebastian Zell

The simplest variant of gauge gravitation theory in Riemann-Cartan spacetime leading to the solution of the problem of cosmological singularity and dark energy problem is investigated. It is shown that this theory by certain restrictions on…

General Relativity and Quantum Cosmology · Physics 2017-12-06 A. V. Minkevich

We examine the conformal equivalence between the $f(R)$ gravity and the interacting dark sector model. We review the well-known result that the conformal transformation physically corresponds to the mass dilation which marks the strength of…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Jian-Hua He , Bin Wang , Elcio Abdalla

We study the local behaviour of static solutions of a general 1+1 dimensional dilaton gravity theory coupled to scalar fields and Abelian gauge fields near horizons. This type of model includes in particular reductions of higher dimensional…

General Relativity and Quantum Cosmology · Physics 2009-11-07 A. T. Filippov , D. Maison

We review a novel and authentic way to quantize gravity. This novel approach is based on the fact that Einstein gravity can be formulated in terms of a symplectic geometry rather than a Riemannian geometry in the context of emergent…

High Energy Physics - Theory · Physics 2014-12-30 Jungjai Lee , Hyun Seok Yang

We show that perturbative quantum gravity based on the Einstein-Hilbert action, has a novel continuum limit. The renormalized trajectory emanates from the Gaussian fixed point along (marginally) relevant directions but enters the…

High Energy Physics - Theory · Physics 2021-06-09 Matthew Kellett , Alex Mitchell , Tim R. Morris

We consider modified theories of gravity with a direct coupling between matter and geometry, denoted by an arbitrary function in terms of the Ricci scalar. Due to such a coupling, the matter stress tensor is no longer conserved and there is…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Yousef Bisabr

Off-diagonal vacuum and nonvacuum configurations in Einstein gravity can mimic physical effects of modified gravitational theories of $f(R,T,R_{\mu \nu}T^{\mu \nu})$ type. To prove this statement, exact and approximate solutions are…

General Relativity and Quantum Cosmology · Physics 2015-07-01 Emilio Elizalde , Sergiu I. Vacaru
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