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Scalar fields have played an important role in the development of the fundamental theories of physics as well as in other branches of physics such as gravitation and cosmology. For a long time these escaped detection until 2012 year when…

General Relativity and Quantum Cosmology · Physics 2019-05-29 Israel Quiros

A detailed stability analysis is presented for the de Sitter solution with a homogeneous magnetic field that was recently found in the context of a $U(1)$ gauge theory nonminimally coupled to scalar-tensor gravity. The magnetic field is…

High Energy Physics - Theory · Physics 2018-12-05 Shinji Mukohyama

We discuss some of the issues which we encounter when we try to invoke the scalar-tensor theories of gravitation as a theoretical basis of quintessence. One of the advantages of appealing to these theories is that they allow us to implement…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Yasunori Fujii

We study cosmological dynamics and phase space of a scalar field localized on the DGP brane. We consider both the minimally and nonminimally coupled scalar quintessence and phantom fields on the brane. In the nonminimal case, the scalar…

General Relativity and Quantum Cosmology · Physics 2012-11-30 Kourosh Nozari , F. Rajabi , K. Asadi

The classification problem for conformally-flat space-times that admit a separation of variables in the Hamilton-Jacobi equation of the scalar-tensor Brans-Dicke theory of gravity is examined. The field equations of the scalar-tensor theory…

General Relativity and Quantum Cosmology · Physics 2009-07-24 V. V. Obukhov , K. E. Osetrin , A. E. Filippov , Yu. A. Rybalov

The qualitative properties of spatially homogeneous stiff perfect fluid and minimally coupled massless scalar field models within general relativity are discussed. Consequently, by exploiting the formal equivalence under conformal…

Astrophysics · Physics 2015-06-24 A. A. Coley

Quadratic scale-invariant gravity non minimally coupled to a scalar field provides a competitive model for inflation, characterized by the transition from an unstable to a stable fixed point, both characterized by constant scalar field…

General Relativity and Quantum Cosmology · Physics 2023-01-27 Simon Boudet , Massimiliano Rinaldi , Samuele Marco Silveravalle

We reconsider the issue of whether scalar-tensor theories can admit stable wormhole configurations supported by a non-trivial radial profile for the scalar field. Using a recently proposed effective theory for perturbations around static,…

High Energy Physics - Theory · Physics 2019-02-20 Gabriele Franciolini , Lam Hui , Riccardo Penco , Luca Santoni , Enrico Trincherini

Stealth solutions of scalar-tensor gravity and less-known de Sitter spaces that generalize them are analyzed regarding their possible role as thermal equilibria at non-zero temperature in the new first-order thermodynamics of scalar-tensor…

General Relativity and Quantum Cosmology · Physics 2023-08-02 Serena Giardino , Andrea Giusti , Valerio Faraoni

Scalar-tensor theories have drawn the attention of cosmologist for the past few years because they can provide mechanism to explain the observable phenomena. Moreover, the results of scalar-tensor theories can be applied in higher-order…

General Relativity and Quantum Cosmology · Physics 2020-01-17 Andronikos Paliathanasis

We propose a unimodular version of the Brans-Dicke theory designed with a constrained Lagrangian formulation. The resulting field equations are traceless. The vacuum solutions in the cosmological background reproduce the corresponding…

General Relativity and Quantum Cosmology · Physics 2022-07-28 Alexandre M. R. Almeida , Júlio C. Fabris , Mahamadou Hamani Daouda , Richard Kerner , Hermano Velten , Wiliam S. Hipólito-Ricaldi

We study the stability of static, spherically symmetric solutions of Rastall's theory in the presence of a scalar field with respect to spherically symmetric perturbations. It is shown that the stability analysis is inconsistent in the…

General Relativity and Quantum Cosmology · Physics 2021-02-24 K. A. Bronnikov , Júlio C. Fabris , Oliver F. Piattella , Denis C. Rodrigues , Edison C. O. Santos

We investigate the scalar field dynamics of models with nonminimally coupled scalar fields in the presence of the Gauss-Bonnet term and derive the structure of the effective potential and conditions for stable de Sitter solutions in…

General Relativity and Quantum Cosmology · Physics 2019-10-21 Ekaterina O. Pozdeeva , Mohammad Sami , Alexey V. Toporensky , Sergey Yu. Vernov

We consider the existence and stability of static configurations of a scalar field in a five dimensional spacetime in which the extra spatial dimension is compactified on an $S^1/Z_2$ orbifold. For a wide class of potentials with multiple…

High Energy Physics - Phenomenology · Physics 2008-11-26 Manuel Toharia , Mark Trodden

The bigravity models coupled with two scalar fields are constructed. We show that a wide class of the expansion history of the universe, especially corresponding to dark energy and/or inflation, can be described by a solution of the…

High Energy Physics - Theory · Physics 2015-06-17 Kazuharu Bamba , Yusuke Kokusho , Shin'ichi Nojiri , Norihito Shirai

We study the stability of 5D gravitational solutions containing an arbitrary number of scalar fields. A closed set of equations is derived which governs the background and perturbations of N scalar fields and the metric, for arbitrary bulk…

High Energy Physics - Phenomenology · Physics 2015-05-30 Tony Gherghetta , Marco Peloso

We investigate the presence of static solutions in models described by real scalar field in two-dimensional spacetime. After taking advantage of a procedure introduced sometime ago, we solve intricate nonlinear ordinary differential…

High Energy Physics - Theory · Physics 2014-09-25 D. Bazeia , L. Losano , M. A. Marques , R. Menezes

Precision tests of gravity can be used to constrain the properties of hypothetical very light scalar fields, but these tests depend crucially on how macroscopic astrophysical objects couple to the new scalar field. We develop quasi-analytic…

General Relativity and Quantum Cosmology · Physics 2011-08-31 M. W. Horbatsch , C. P. Burgess

We consider an approach to Brans-Dicke theory of gravity in which the scalar field has a geometrical nature. By postulating the Palatini variation, we find out that the role played by the scalar field consists in turning the space-time…

General Relativity and Quantum Cosmology · Physics 2015-06-18 T. S. Almeida , M. L. Pucheu , C. Romero , J. B. Formiga

Gravity theories with non-minimally coupled scalar fields are used as characteristic examples in order to demonstrate the challenges, pitfalls and future perspectives of considering alternatives to general relativity. These lecture notes…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Thomas P. Sotiriou