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A scalar-tensor theory of gravity is considered wherein the gravitational coupling $G$ and the speed of light $c$ are admitted as space-time functions and combine to form the definition of the scalar field $\phi$. The varying $c$…

General Relativity and Quantum Cosmology · Physics 2023-04-05 Rodrigo R. Cuzinatto , Rajendra P. Gupta , Pedro J. Pompeia

Extremely long-lived, time-dependent, spatially-bound scalar field configurations are shown to exist in $d$ spatial dimensions for a wide class of polynomial interactions parameterized as $V(\phi) = \sum_{n=1}^h\frac{g_n}{n!}\phi^n$.…

High Energy Physics - Theory · Physics 2009-11-10 Marcelo Gleiser

Nonminimally coupled free scalar fields may be unstable in the spacetime of compact objects. Such instability can be triggered by classical seeds or, more simply, by quantum fluctuations giving rise to the so-called {\em vacuum awakening…

General Relativity and Quantum Cosmology · Physics 2014-09-16 Raissa F. P. Mendes , George E. A. Matsas , Daniel A. T. Vanzella

We study quintessential inflation using a generalized exponential potential $V(\phi)\propto exp(-\lambda \phi^n/Mpl^n), n>1$, the model admits slow-roll inflation at early times and leads to close-to-scaling behaviour in the post…

General Relativity and Quantum Cosmology · Physics 2017-06-21 Chao-Qiang Geng , Chung-Chi Lee , M. Sami , Emmanuel N. Saridakis , Alexei A. Starobinsky

We propose a new model in the teleparallel framework where we consider a scalar field nonminimally coupled to both the torsion $T$ and a boundary term given by the divergence of the torsion vector $B=\frac{2}{e}\partial_\mu (eT^\mu)$. This…

General Relativity and Quantum Cosmology · Physics 2016-04-26 Sebastian Bahamonde , Matthew Wright

We study the nature of potentials in scalar field based models for dark energy - with both canonical and noncanonical kinetic terms. We calculate numerically, and using an analytic approximation around $a\approx 1$, potentials for models…

Cosmology and Nongalactic Astrophysics · Physics 2016-10-04 Richard A. Battye , Francesco Pace

We consider cosmological dynamics in the theory of gravity with the scalar field possessing the nonminimal kinetic coupling to curvature given as $\kappa G^{\mu\nu}\phi_{,\mu}\phi_{,\nu}$, and the Higgs-like potential…

General Relativity and Quantum Cosmology · Physics 2017-09-18 Jiro Matsumoto , Sergey V. Sushkov

We calculate the renormalized vacuum energy density for a massless scalar field confined between two nearby parallel plates formed by ideal uncharged conductors, placed very close to the surface of a rotating spherical gravitational source…

High Energy Physics - Theory · Physics 2015-06-18 V. B. Bezerra , H. F. Mota , C. R. Muniz

The Machian cosmological solution satisfying $\phi =O(\rho /\omega)$ is discussed for the homogeneous and isotropic universe with a perfect fluid (with negative pressure) in the generalized scalar-tensor theory of gravitation. We propose…

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

We consider a scalar field coupled to massless fermions through Yukawa couplings, such as the Higgs field, in a Robertson-Walker spacetime. We compute the nonlocal quantum effective action as a functional of the background scalar field and…

High Energy Physics - Theory · Physics 2022-11-29 André Benevides , Atish Dabholkar

We study a model of inflation in which a scalar field $\chi$ is non-minimally coupled to Starobinsky's $R^2$ gravity. After transforming it to the Einstein frame, a new scalar field, the scalaron $\phi$, will appear and couple to $\chi$…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-21 Shi Pi , Ying-li Zhang , Qing-Guo Huang , Misao Sasaki

The observed accelerating universe indicates the presence of Dark Energy which is probably interpreted in terms of an extremely light gravitational scalar field. We suggest a way to probe this scalar field which contributes to optical…

General Relativity and Quantum Cosmology · Physics 2011-11-03 Yasunori Fujii , Kensuke Homma

In this work we examine the 2025 DESI analysis of dark energy, which suggests that dark energy is evolving in time with an increasing equation of state $w$. We explore a wide range of quintessence models, described by a potential function…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-20 Husam Adam , Mark P. Hertzberg , Daniel Jiménez-Aguilar , Iman Khan

A recent analysis of the false-vacuum decay in non-perturbative regimes is here extended in the presence of Einstein gravity, computing the corresponding effective potential and decay rate. We consider a $\lambda \phi^4$ scalar field theory…

High Energy Physics - Theory · Physics 2026-02-17 Gianluca Calcagni , Marco Frasca , Anish Ghoshal

In a model of spontaneous scalarization of neutron stars proposed by Damour and Esposite-Farese, a general relativistic branch becomes unstable to trigger tachyonic growth of a scalar field $\phi$ toward a scalarized branch. Applying this…

General Relativity and Quantum Cosmology · Physics 2023-02-13 Ratchaphat Nakarachinda , Sirachak Panpanich , Shinji Tsujikawa , Pitayuth Wongjun

We derive the equations of linear cosmological perturbations for the general Lagrangian density $f (R,\phi, X)/2+L_c$, where $R$ is a Ricci scalar, $\phi$ is a scalar field, and $X=-(\nabla \phi)^2/2$ is a field kinetic energy. We take into…

Cosmology and Nongalactic Astrophysics · Physics 2010-10-12 Antonio De Felice , Shinji Mukohyama , Shinji Tsujikawa

We investigate the weak-field regime of generalized hybrid metric-Palatini theories, described by a generic function \(f(R,\mathcal{R})\), where \(R\) is the metric Ricci scalar and \(\mathcal{R}\) is constructed from an independent…

General Relativity and Quantum Cosmology · Physics 2026-05-22 Gustavo Melgarejo , Santiago Esteban Perez Bergliaffa

The fact that fast oscillating homogeneous scalar fields behave as perfect fluids in average and their intrinsic isotropy have made these models very fruitful in cosmology. In this work we will analyse the perturbations dynamics in these…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-23 J. A. R. Cembranos , A. L. Maroto , S. J. Núñez Jareño

Generalised axion-like scalar fields provide a well-motivated framework for describing the late-time acceleration of the Universe. As the field evolves, it rolls down its potential and, depending on its mass and initial conditions, it may…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-30 Mariam Bouhmadi-López , Carlos G. Boiza

We explore the cosmic evolution of a scalar field with the kinetic term coupled to the Einstein tensor. We find that, in the absence of other matter sources or in the presence of only pressureless matter, the scalar behaves as pressureless…

General Relativity and Quantum Cosmology · Physics 2013-05-28 Changjun Gao
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