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We consider an $f(R)$ action that is non-minimally coupled to a massive scalar field. The model closely resembles scalar-tensor theory and by conformal transformation can be transformed to Einstein frame. To avoid the ambiguity of the frame…

General Relativity and Quantum Cosmology · Physics 2018-07-17 Jose Mathew , Joseph P Johnson , S. Shankaranarayanan

In this paper I shall consider field theories in a space of four-dimensions which have field variables consisting of the components of a metric tensor and scalar field. The field equations of these scalar-tensor field theories will be…

General Relativity and Quantum Cosmology · Physics 2022-10-11 Gregory W. Horndeski

The Hamiltonian of any quantum cosmological model must obey some conditions in order to be self-adjoint, or to admit self-adjoint extensions. We will consider in this paper the self-adjoint character of the Hamiltonian resulting from the…

General Relativity and Quantum Cosmology · Physics 2017-09-20 Carla Rodrigues Almeida , Antônio Brasil Batista , Júlio César Fabris , Nelson Pinto-Neto

We consider two kinds of higher dimensional models which upon dimensional reduction lead to Jordan-Brans-Dicke type effective actions in four dimensions with the scale factor of the extra dimensions playing the role of the JBD field. These…

General Relativity and Quantum Cosmology · Physics 2009-10-30 A. S. Majumdar

We consider the quantum effects of matter fields in scalar-tensor theories and clarify the role of trace anomaly when switching between conformally related `frames'. We exploit the property that the couplings between the scalar and the…

High Energy Physics - Theory · Physics 2013-05-30 Francesco Nitti , Federico Piazza

In this letter, we try to apply the unified first law to the "cosmic triad" vector field scenario both in the minimal coupling case and in the non-minimalcoupling case. After transferring the non-minimally coupling action in Jordan frame to…

High Energy Physics - Theory · Physics 2011-08-05 Yi Zhang , Yungui Gong , Zong-Hong Zhu

We show that the gauge hierarchy problem can be solved in the framework of scalar-tensor theories of gravity very much in the same way as it is solved in the Randall-Sundrum scenario. Our solution involves a fine-tuning of the gravitational…

High Energy Physics - Phenomenology · Physics 2008-11-26 Xavier Calmet

In this work we consider a scale-tensor theory in which the space-time is endowed with a Weyl integrable geometrical structure due to the Palatini variational method. Since the scalar field has a geometrical nature (related to…

General Relativity and Quantum Cosmology · Physics 2020-07-06 Adriano B. Barreto , Gilberto M. Kremer

We search for viable f(R) theories of gravity, making use of the equivalence between such theories and scalar-tensor gravity. We find that models can be made consistent with solar system constraints either by giving the scalar a high mass…

Astrophysics · Physics 2008-11-26 Thomas Faulkner , Max Tegmark , Emory F. Bunn , Yi Mao

We analyze the Taylor expansion of metric $f(R)$ gravity in the Jordan frame around the General Relativity limit. By relating the scalar--tensor representation to the original $f(R)$ formulation, we derive constraints on the expansion…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Giovanni Montani , Andrea Valletta

We consider higher-dimensional massive Brans-Dicke theory with Ricci-flat internal space. The background model is perturbed by a massive gravitating source which is pressureless in the external (our space) but has an arbitrary…

General Relativity and Quantum Cosmology · Physics 2020-01-03 Ozgur Akarsu , Alexey Chopovsky , Valerii Shulga , Ezgi Yalcinkaya , Alexander Zhuk

A light scalar degree of freedom, as the one possibly responsible for the accelerated expansion of the Universe, could leave observable traces in the inspiral gravitational wave signal of binary systems. In order to study these effects, we…

General Relativity and Quantum Cosmology · Physics 2019-06-26 Adrien Kuntz , Federico Piazza , Filippo Vernizzi

We study the origin of fifth forces in scalar-tensor theories of gravity in the so-called Jordan frame, where the modifications to the gravitational sector are manifest. We focus on theories of Brans-Dicke type in which an additional scalar…

High Energy Physics - Theory · Physics 2024-07-30 Edmund J. Copeland , Peter Millington , Sergio Sevillano Muñoz

We revisit the static spherically symmetric solutions of Einstein's General Relativity with a conformally coupled scalar field in arbitrary dimensions. Using a four rank tensor introduced earlier we recast the field equations in a…

General Relativity and Quantum Cosmology · Physics 2024-12-17 Sourya Ray

In this paper we analyse scalar-tensor theories-specific instances of which include mainstream inflation and dark energy models-in light of the spacetime-matter dichotomy. We argue that it is difficult to categorise the scalar fields as…

History and Philosophy of Physics · Physics 2025-12-12 Antonio Ferreiro , Alex Fleuren , Niels C. M. Martens

We consider first generation scalar-tensor theories of gravitation in a completely generic form, keeping the transformation functions of the local rescaling of the metric and the scalar field redefinition explicitly distinct from the…

General Relativity and Quantum Cosmology · Physics 2015-11-16 Laur Jarv , Piret Kuusk , Margus Saal , Ott Vilson

We consider asymptotically anti de Sitter gravity coupled to a scalar field with mass slightly above the Breitenlohner-Freedman bound. This theory admits a large class of consistent boundary conditions characterized by an arbitrary function…

High Energy Physics - Theory · Physics 2014-11-21 Thomas Faulkner , Gary T. Horowitz , Matthew M. Roberts

The duality of gravitational dynamics (projected on a null hypersurface) and of fluid dynamics is investigated for the scalar tensor (ST) theory of gravity. The description of ST gravity, in both Einstein and Jordan frames, is analyzed from…

High Energy Physics - Theory · Physics 2020-07-07 Krishnakanta Bhattacharya , Bibhas Ranjan Majhi , Douglas Singleton

We study the evolution of homogeneous and isotropic, flat cosmological models within the general scalar-tensor theory of gravity with arbitrary coupling function and potential and scrutinize its limit to general relativity. Using the…

General Relativity and Quantum Cosmology · Physics 2009-04-24 Piret Kuusk , Laur Jarv , Margus Saal

A four dimensional scalar field theory with quartic and of higher power interactions suffers the triviality issue at the quantum level. This is due to coupling constants that, contrary to the physical expectations, seem to grow without a…

High Energy Physics - Theory · Physics 2013-05-30 Artur R. Pietrykowski