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We describe a class of modified gravity theories that deform general relativity in a way that breaks time reversal invariance and, very mildly, locality. The algebra of constraints, local physical degrees of freedom, and their linearized…

General Relativity and Quantum Cosmology · Physics 2015-08-12 Marina Cortes , Henrique Gomes , Lee Smolin

Scalar-tensor gravity represents a natural extension of general relativity. This paper investigates a conformal scalar-tensor gravity, the environmentally dependent dilaton model, and identifies regions of its parameter space potentially…

General Relativity and Quantum Cosmology · Physics 2026-04-15 Li Hu , Rong-Gen Cai , Song He , Li-Fang Li , Tong Liu , Peng Xu , Shao-Jiang Wang

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

We consider a massive quantum test Klein-Gordon field probing an isotropic quantum cosmological space-time in the background. The result obtained is surprising. It turns out, that despite the isotropy of the quantum gravitational field, the…

General Relativity and Quantum Cosmology · Physics 2013-05-13 Andrea Dapor , Jerzy Lewandowski

We review some recent developments in the conformal gravity theory that has been advanced as a candidate alternative to standard Einstein gravity. As a quantum theory the conformal theory is both renormalizable and unitary, with unitarity…

High Energy Physics - Theory · Physics 2015-05-27 Philip D. Mannheim

Emergent modified gravity is a post-Einsteinian gravitational theory where spacetime geometry is not fundamental but rather emerges from the gravitational degrees of freedom in a non-trivial way. The specific relationship between geometry…

General Relativity and Quantum Cosmology · Physics 2024-12-23 Martin Bojowald , Erick I. Duque , S. Shankaranarayanan

In quantum systems with many degrees of freedom the replica method is a useful tool to study the entanglement of arbitrary spatial regions. We apply it in a way which allows them to back-react. As a consequence, they become dynamical…

High Energy Physics - Theory · Physics 2011-02-02 Ferdinando Gliozzi

Conformal gravity has been proposed as an alternative theory of gravity which can account for flat galactic rotation curves without recourse to copious quantities of dark matter. However it was shown that for the usual choice of the metric,…

Astrophysics · Physics 2008-12-30 A. Edery , A. A. Méthot , M. B. Paranjape

We use a quantum mechanical charged particle as a test particle which probes the dynamics of force-related fields it is subject to. We allow for geodesic motion and relations involving gravitation appear. Gravitation affects quantum…

General Physics · Physics 2019-05-02 Victor Atanasov

We review the conformal equivalence in describing the background expansion of the universe by $f(R)$ gravity both in the Jordan frame and the Einstein frame. In the Jordan frame, we present the general analytic expression for $f(R)$ models…

Cosmology and Nongalactic Astrophysics · Physics 2012-03-14 Jian-hua He , Bin Wang

We study a gravitational model whose vacuum sector is invariant under conformal transformations. In this model we investigate the anomalous gravitational coupling of the large-scale matter. In this kind of coupling the large-sale matter is…

High Energy Physics - Theory · Physics 2007-05-23 Hadi Salehi , Yousef Bisabr

In this proceeding, we review modified theories of gravity with a curvature-matter coupling between an arbitrary function of the scalar curvature and the Lagrangian density of matter. This explicit nonminimal coupling induces a…

General Relativity and Quantum Cosmology · Physics 2022-09-20 Francisco S. N. Lobo , Tiberiu Harko

We establish a well-posedness theory for the f(R) theory of modified gravity, which is a generalization of Einstein's theory of gravitation. The scalar curvature R of the spacetime, which arises in the integrand of the Einstein-Hilbert…

Analysis of PDEs · Mathematics 2014-12-30 Philippe G. LeFloch , Yue Ma

New covariant theories of emergent modified gravity exist not only in spherically symmetric models, as previously found, but also in polarized Gowdy systems that have a local propagating degree of freedom. Several explicit versions are…

General Relativity and Quantum Cosmology · Physics 2024-12-04 Martin Bojowald , Erick I. Duque

When in general geometric backgrounds the metric is accompanied by torsion, the metric conformal properties should correspondingly be followed by analogous torsional conformal properties; however a combined metric torsional conformal…

General Relativity and Quantum Cosmology · Physics 2014-04-11 Luca Fabbri

Modified theories of gravity have been invoked recently as an alternative to dark energy, in an attempt to explain the apparent accelerated expansion of the universe at the present time. In order to describe inhomogeneities in cosmological…

General Relativity and Quantum Cosmology · Physics 2016-04-15 Adam J. Christopherson

We study new classes of metric transformations in the context of scalar-tensor theories, which involve both higher derivatives of the scalar field and derivatives of the metric itself. In general, such transformations are not invertible as…

General Relativity and Quantum Cosmology · Physics 2025-03-03 Eugeny Babichev , Keisuke Izumi , Karim Noui , Norihiro Tanahashi , Masahide Yamaguchi

Extensions of equivalent representations of gravity are discussed in the metric-affine framework. First, we focus on: (i) General Relativity, based upon the metric tensor whose dynamics is given by the Ricci curvature scalar $R$; (ii) the…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Salvatore Capozziello , Sara Cesare , Carmen Ferrara

We study the cosmology of a quadratic metric-compatible torsionful gravity theory in the presence of a perfect hyperfluid. The gravitational action is an extension of the Einstein-Cartan theory given by the usual Einstein-Hilbert…

General Relativity and Quantum Cosmology · Physics 2021-10-07 Damianos Iosifidis , Lucrezia Ravera

Conformal transformations are frequently used tools in order to study relations between various theories of gravity and the Einstein relativity. In this paper we discuss the rules of these transformations for geometric quantities as well as…

General Relativity and Quantum Cosmology · Physics 2009-02-20 Mariusz P. Dabrowski , Janusz Garecki , David B. Blaschke