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We consider a theory of modified gravity possessing d extra spatial dimensions with a maximally symmetric metric and a scale factor, whose (4+d)-dimensional gravitational action contains terms proportional to quadratic curvature scalars.…

General Relativity and Quantum Cosmology · Physics 2018-09-05 Carsten van de Bruck , Chris Longden

The ten-parameter, quadratic Poincar\'e gauge theory of gravity is a plausible alternative to general relativity. We show that the rich background cosmology of the gauge theory is described by a non-canonical bi-scalar-tensor theory in the…

General Relativity and Quantum Cosmology · Physics 2020-10-07 W. E. V. Barker , A. N. Lasenby , M. P. Hobson , W. J. Handley

In the context of Brans-Dicke scalar tensor theory of gravitation, the cosmological Friedmann equation which relates the expansion rate $H$ of the universe to the various fractions of energy density is analyzed rigorously. It is shown that…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Arik , M. C. Calik , M. B. Sheftel

A model of Einstein-Hilbert action subject to the scale transformation is studied. By introducing a dilaton field as a means of scale transformation a new action is obtained whose Einstein field equations are consistent with traceless…

General Relativity and Quantum Cosmology · Physics 2010-08-25 F. Darabi

We consider the Dirac equation coupled to an external electromagnetic field in curved four-dimensional spacetime with a given timelike worldline $\gamma$ representing a classical clock. We use generalised Fermi normal coordinates in a…

General Relativity and Quantum Cosmology · Physics 2023-11-27 Ashkan Alibabaei , Philip K. Schwartz , Domenico Giulini

The present paper reconsiders the Newtonian limit of models of modified gravity including higher order terms in the scalar curvature in the gravitational action. This was studied using the Palatini variational principle in [Meng X. and Wang…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thomas P. Sotiriou

We consider the scalar mode of gravity as expressed by a conformal factor of the metric and present a model motivated by the Jordan-Brans-Dicke action. The reduced action provides a Lagrangian density in Minkowski space which exhibits a…

General Relativity and Quantum Cosmology · Physics 2022-05-18 Metin Arik , Tarik Tok

Solar-System constraints on a general scalar-tensor theory with generic non-minimal coupling function, non-canonical kinetic function, and scalar potential, are investigated in both the metric and Palatini formalisms. A unified…

General Relativity and Quantum Cosmology · Physics 2026-04-20 Alexandros Karam , Samuel Sánchez López , José Jaime Terente Díaz

The superconformal action can be gauge-fixed in a gauge where is leads to the Einstein frame supergravity defined by a Kahler potential $K(z, \bar z)$, or in a gauge where it leads to a Jordan frame supergravity defined by the frame…

High Energy Physics - Theory · Physics 2026-05-19 Renata Kallosh

In Cuzinatto et al. [Phys. Rev. D 93, 124034 (2016)], it has been demonstrated that theories of gravity in which the Lagrangian includes terms depending on the scalar curvature $R$ and its derivatives up to order $n$, i.e.…

General Relativity and Quantum Cosmology · Physics 2019-05-07 R. R. Cuzinatto , C. A. M. de Melo , L. G. Medeiros , P. J. Pompeia

We consider a recently proposed class of extended teleparallel theories of gravity, which entail a scalar field which is non-minimally coupled to the torsion of a flat, metric-compatible connection. This class of scalar-torsion theories of…

General Relativity and Quantum Cosmology · Physics 2020-01-24 Elena D. Emtsova , Manuel Hohmann

A generally covariant extension of general relativity (GR) in which a dynamical unit timelike vector field is coupled to the metric is studied in the asymptotic weak field limit of spherically symmetric static solutions. The two…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Christopher Eling , Ted Jacobson

Within the scope of multidimensional Kaluza--Klein gravity with nonlinear curvature terms and two spherical extra spaces of dimensions $m$ and $n$, we study the properties of an effective action for the scale factors of the extra…

General Relativity and Quantum Cosmology · Physics 2020-10-20 S. V. Bolokhov , K. A. Bronnikov

We discuss a very general theory of gravity, of which Lagrangian is an arbitrary function of the curvature invariants, on the brane. In general, the formulation of the junction conditions (except for Euler characteristics such as…

High Energy Physics - Theory · Physics 2014-11-20 Mariusz P. Dabrowski , Adam Balcerzak

Recently, gravitational gauge theories with torsion have been discussed by an increasing number of authors from a classical as well as from a quantum field theoretical point of view. The Einstein-Cartan(-Sciama-Kibble) Lagrangian has been…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Peter Baekler , Friedrich W. Hehl

We provide the correspondence between the variables in the Jordan frame and those in the Einstein frame in scalar-tensor gravity and consider the frame-(in)dependence of the cosmological observables. In particular, we show that the…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Takeshi Chiba , Masahide Yamaguchi

Cosmological solutions of the Brans-Dicke theory with an added cosmological constant are investigated with an emphasis to select a conformal frame in order to implement the scenario of a decaying cosmological constant, featuring an ever…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Yasunori Fujii

Massive Brans-Dicke (BD) theory is among the simplest general relativity extensions. It is commonly found as the weak-field limit of other gravitational theories. Here we do a detailed post-Newtonian analysis of massive BD theories. We…

General Relativity and Quantum Cosmology · Physics 2024-02-26 Matheus F. S. Alves , Júnior D. Toniato , Davi C. Rodrigues

The gravitational interaction, as described by the Einstein-Cartan theory, is shown to emerge as the by-product of the spontaneous symmetry breaking of a gauge symmetry in a pre-geometric four-dimensional spacetime. Starting from a…

High Energy Physics - Theory · Physics 2025-01-15 Andrea Addazi , Salvatore Capozziello , Antonino Marciano , Giuseppe Meluccio

The post Newtonian parameter is considered in the Chameleon-Brans-Dicke frame. In the first step, the general form of this parameter and also effective gravitational constant is obtained. An arbitrary function for $f(\Phi)$, which indicates…

General Relativity and Quantum Cosmology · Physics 2014-01-20 Khaled Saaidi , Abolhassan Mohammadi , Haidar Sheikhahmadi