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We consider the Brans-Dicke theory in non-metricity gravity, which belongs to the family of symmetric teleparallel scalar-tensor theories. Our focus lies in exploring the implications of the conformal transformation, as we derive the…

General Relativity and Quantum Cosmology · Physics 2023-10-26 Andronikos Paliathanasis

Following recent fit of supernovae data to Brans-Dicke theory which favours the model with $\omega = - 3/2$ \cite{fabris} we discuss the status of this special case of Brans-Dicke cosmology in both isotropic and anisotropic framework. It…

High Energy Physics - Theory · Physics 2008-11-26 Mariusz P. Dabrowski , Tomasz Denkiewicz , David Blaschke

We tudy flat Friedmann-Robertson-Walker cosmology in Brans-Dicke-type theories of gravitation with minimal coupling between the scalar field and the matter fields in the Einstein frame (general relativity with an extra scalar field) for…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Israel Quiros , Rolando Bonal , Rolando Cardenas

We consider Brans-Dicke theory with a self-interacting potential in Einstein conformal frame. We introduce a class of solutions in which an accelerating expansion is possible in a spatially flat universe for positive and large values of the…

General Relativity and Quantum Cosmology · Physics 2012-05-03 Yousef Bisabr

A classification of Brans-Dicke theories of gravitation, based on the behaviour of the dimensionless gravitational coupling constant, is given. It is noted that the discussion takes place in the current literature, about which of the two…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Israel Quiros

Cosmological solutions of the Brans-Dicke theory are investigated by including a quantum effect coming from 1-loop correction of matter fields that couple to the scalar field. As the most serious result we face a cosmological ``constant''…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yasunori Fujii

It is demonstrated that, unless the meaning of conformal transformations for the underlying geometrical structure is discussed on a same footing as it is done for the equations of the given gravity theory, the notion of "conformal…

General Relativity and Quantum Cosmology · Physics 2011-08-18 Israel Quiros , Ricardo Garcia-Salcedo , Jose Edgar Madriz Aguilar

The loop quantization of the conformal Brans-Dicke cosmology is explored in the spatially flat and Bianchi-I setting. The scalar and conformal constraints governing the canonical model are quantized using the loop techniques. The physical…

General Relativity and Quantum Cosmology · Physics 2023-12-29 Chun-Yen Lin , Xiangjing Liu , Yongge Ma , Cong Zhang

We discuss qualitative features of the conformal relation between certain classes of gravity theories and general relativity, common to different themes such as $f(R)$, Brans-Dicke-type, and string theories. We focus primarily on the frame…

General Relativity and Quantum Cosmology · Physics 2022-04-05 Spiros Cotsakis , Ifigeneia Klaoudatou , Georgios Kolionis , John Miritzis , Dimitrios Trachilis

In this paper first we study Brans-Dicke equations with the cosmological constant to find an exact solution in the spatially flat Robertson-Walker metric. Then we use Observational Hubble data, the baryon acoustic oscillation distance ratio…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Hassan Amirhashchi , Anil Kumar Yadav

The inflation-free solution of problems of the modern cosmology (horizon, cosmic initial data, Planck era, arrow of time, singularity,homogeneity, and so on) is considered in the conformal-invariant unified theory given in the space with…

General Relativity and Quantum Cosmology · Physics 2014-11-17 V. Pervushin , D. Proskurin

The spatially flat and isotropic cosmological model of Brans-Dicke theory with coupling parameter $\omega\neq-3/2$ is quantized by the approach of loop quantum cosmology. An interesting feature of this model is that, although the…

General Relativity and Quantum Cosmology · Physics 2013-04-16 Xiangdong Zhang , Michal Artymowski , Yongge Ma

A 2-parameter inhomogeneous cosmology in Brans-Dicke theory, obtained by conformally transforming the Husain-Martinez-Nunez (HMN) scalar field solution of the Einstein equations is studied and interpreted physically. According to the values…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Valerio Faraoni , Andres F. Zambrano Moreno

The conformal transformation in the Einstein - Hilbert action leads to a new frame where an extra scalar degree of freedom is compensated by the local conformal-like symmetry. We write down a most general action resulting from such…

High Energy Physics - Theory · Physics 2010-11-01 Ilya L. Shapiro , Hiroyuki Takata

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

In this paper it is shown that in non-minimally coupled Brans-Dicke theory containing a self-interacting potential, a suitable conformal transformation can automatically give rise to an interaction between the normal matter and the…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Sudipta Das , Abdulla Al Mamon

The scalar-tensor theory is plagued by nagging questions if different conformal frames, in particular the Jordan and Einstein conformal frames, are equivalent to each other. As a closely related question, there are opposing views on which…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yasunori Fujii

Here we follow the mainstream of thinking about physical equivalence of different representations of a theory, regarded as the consequence of invariance of the laws of physics -- represented by an action principle and the derived motion…

General Relativity and Quantum Cosmology · Physics 2018-11-14 Israel Quiros , Roberto De Arcia

We consider cosmological consequences of a conformal invariant formulation of Einstein's General Relativity where instead of the scale factor of the spatial metrics in the action functional a massless scalar (dilaton) field occurs which…

General Relativity and Quantum Cosmology · Physics 2011-07-19 D. Behnke , D. Blaschke , V. N. Pervushin , D. Proskurin

Theoretical and observational arguments are listed in favor of a new principle of relativity of units of measurements as the basis of a conformal-invariant unification of General Relativity and Standard Model by replacement of all masses…

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. Pervushin , V. Zinchuk , A. Zorin
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