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We investigate the quantum origin of the primordial cosmological gravitational waves in the Brans-Dicke theory in the two conformally related frames, the Jordan-Brans-Dicke frame and the Einstein frame. We calculated the theoretical…

Cosmology and Nongalactic Astrophysics · Physics 2012-04-18 R. C. Freitas , S. V. B. Gonçalves

We study the Brans-Dicke theory with arbitrary potential within a functional renormalization group framework. Motivated by the asymptotic safety scenario of quantum gravity and by the well-known relation between f(R) gravity and Brans-Dicke…

High Energy Physics - Theory · Physics 2014-06-13 Dario Benedetti , Filippo Guarnieri

In this paper we discuss a model in which the energy density, corresponding to the effective cosmological constant, after the $SU(2)\times U(1)$ symmetry breaking appears to be of the desired order of $10^{-48}\div 10^{-47} GeV^{4}$. The…

General Relativity and Quantum Cosmology · Physics 2007-12-02 Mikhail N. Smolyakov

We combine new Cosmic Microwave Background (CMB) data from Planck with Baryon Acoustic Oscillation (BAO) data to constrain the Brans-Dicke (BD) theory, in which the gravitational constant $G$ evolves with time. Observations of type Ia…

Cosmology and Nongalactic Astrophysics · Physics 2017-05-19 Ji-Xia Li , Feng-Quan Wu , Yi-Chao Li , Yan Gong , Xue-Lei Chen

We confront the predicted gyroscopic precession (in particular the geodetic precession) from metric $f(R)$ theory with the data provided by the mission, Gravity Probe--B. We find the constraint, $|a_2| < 1.33\times 10^{12} \mathrm{m}^2$,…

General Relativity and Quantum Cosmology · Physics 2019-08-27 Abhinandan Dass , Stefano Liberati

In this research work, we investigate the late-time accelerated expansion of the universe within the framework of Brans-Dicke theory by considering dynamical vacuum energy models with a time-varying cosmological constant. Two vacuum energy…

General Relativity and Quantum Cosmology · Physics 2026-01-19 Khomesh R. Patle , G. P. Singh , Romanshu Garg

The dependence of Brans-Dicke (BD) parameter upon the scalar field, for different cosmological era of the expanding universe, has been explored. The time dependence of the scalar field has been determined and thereby the explicit time…

General Relativity and Quantum Cosmology · Physics 2017-06-23 Sudipto Roy , Soumyadip Chowdhury

This note revisits and corrects a previous analysis on gravitational radiation in compact binary systems within the framework of Brans-Dicke-f(R) theories-models featuring both massless and effectively massive scalar fields. We correct the…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Diego S. Jesus , Hermano Velten , Júnior D. Toniato

In brane-world theory in five dimensions, the bulk metric is usually written in gaussian coordinates, where $g_{4\mu} = 0$ and $g_{44} = - 1$. However, the choice $g_{44} = - 1$ is an external condition, not a requirement of the field…

General Relativity and Quantum Cosmology · Physics 2015-06-25 J. Ponce de Leon

Noncommutative spectral geometry offers a purely geometric explanation for the standard model of strong and electroweak interactions, including a geometric explanation for the origin of the Higgs field. Within this framework, the…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Gaetano Lambiase , Mairi Sakellariadou , Antonio Stabile

We investigate the propagation of gravitational waves in the context of fourth order gravity nonminimally coupled to a massive scalar field. Using the damping of the orbital period of coalescing stellar binary systems, we impose constraints…

General Relativity and Quantum Cosmology · Physics 2015-07-10 Gaetano Lambiase , Mairi Sakellariadou , Antonio Stabile , Arturo Stabile

Recent theoretical ideas and observational claims suggest that the fine structure constant alpha may be variable. We examine a spectrum of models in which alpha is a function of a scalar field. Specifically, we consider three scenarios:…

High Energy Physics - Phenomenology · Physics 2009-11-10 Charles L. Steinhardt

We examine the constraints of spherically symmetric general relativity with one asymptotically flat region, exploiting both the traditional metric variables and variables constructed from the optical scalars. With respect to the latter…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Jemal Guven , Niall Ó Murchadha

We consider a Brans-Dicke scalar field stabilized by a general power law potential with power index $n$ at a finite equilibrium value. Redshifting matter induces oscillations of the scalar field around its equilibrium due to the scalar…

High Energy Physics - Phenomenology · Physics 2009-11-10 L. Perivolaropoulos

By integration of generalized BSBM and Brans-Dicke cosmological models, in this article, we investigate the theoretical framework of fine structure constant variation and current cosmic acceleration. We first develop a mathematical…

General Relativity and Quantum Cosmology · Physics 2015-06-11 H. Farajollahi , A. Salehi

We study the cosmological constraints on the variation of the Newton's constant and on post-Newtonian parameters for simple models of scalar-tensor theory of gravity beyond the extended Jordan-Brans-Dicke theory. We restrict ourselves to an…

Cosmology and Nongalactic Astrophysics · Physics 2020-02-07 M. Rossi , M. Ballardini , M. Braglia , F. Finelli , D. Paoletti , A. A. Starobinsky , C. Umiltà

The stability criteria for the generalized Brans-Dicke cosmology in a spatially flat, homogeneous and isotropic cosmological model is discussed in the presence of a perfect fluid. The generalization comes through the channel that the…

General Relativity and Quantum Cosmology · Physics 2017-04-05 Nandan Roy , Narayan Banerjee

We investigate the quantum origin of the primordial cosmological gravitational waves in the Brans-Dicke theory. We compute the number of gravitons $N_k$ produced during inflation and the observables: power spectrum $P_T$, spectral index…

Cosmology and Nongalactic Astrophysics · Physics 2011-05-05 R. C. Freitas , S. V. B. Gonçalves

The Machian cosmological solution satisfying $\phi =O(\rho /\omega)$ for the perfect-fluid with negative pressure is discussed. When the coefficient of the equation of state $\gamma \to -1/3$, the gravitational constant approaches to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. Miyazaki

We investigate the cosmological consequences of a brane-world theory which incorporates time variations in the gravitational coupling G and the cosmological term Lambda. We analyze in detail the model where (dG/dt)/G ~ H and Lambda ~ H^2,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. Ponce de Leon