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It is shown that a non-minimal coupling between the scalar curvature and the matter Lagrangian density may account for the accelerated expansion of the Universe and provide, through mimicking, for a viable unification of dark energy and…

General Relativity and Quantum Cosmology · Physics 2014-11-20 O. Bertolami , P. Frazao , J. Páramos

We consider how the swampland criteria might be applied to models in which scalar fields have nontrivial kinetic terms, particularly in the context of $P(\phi,X)$ theories, popularly used in approaches to inflation, to its alternatives, and…

High Energy Physics - Theory · Physics 2023-11-08 Adam R. Solomon , Mark Trodden

Reparametrization invariant Lagrangian theories with higher derivatives are considered. We investigate the geometric structures behind these theories and construct the Hamiltonian formalism in a geometric way. The Legendre transformation…

High Energy Physics - Theory · Physics 2014-11-18 Petr Dunin-Barkowski , Alexei Sleptsov

We show that the combined minimal and non minimal interaction with the gravitational field may produce the generation of a cosmological constant without self-interaction of the scalar field. In the same vein we analyze the existence of…

General Relativity and Quantum Cosmology · Physics 2020-01-29 M. Novello , A. E. S. Hartmann

It has been suggested that the chiral symmetry can be implemented only in classical Lagrangians containing higher covariant derivatives of odd order. Contrary to this belief, it is shown that one can construct an exactly soluble…

High Energy Physics - Theory · Physics 2015-06-26 L. V. Belvedere , R. L. P. G. Amaral , N. A. Lemos

This work deals with the conformal transformations in six-dimensional spinorial formalism. Several conformally invariant equations are obtained and their geometrical interpretation are worked out. Finally, the integrability conditions for…

High Energy Physics - Theory · Physics 2015-12-14 Carlos Batista

We consider the relation between exact solutions of cosmological models having minimally and non-minimally coupled scalar fields. This is done for a particular class of solvable models which, in the Einstein frame, have potentials depending…

General Relativity and Quantum Cosmology · Physics 2015-12-15 A. Yu. Kamenshchik , E. O. Pozdeeva , A. Tronconi , G. Venturi , S. Yu. Vernov

Motivated by the recent `Higgs-inflation' scenario based on a single inflaton field, we consider more generic two-field inflation with non-minimal coupling term. The generic analytic expressions are derived for cosmological observables with…

High Energy Physics - Phenomenology · Physics 2015-03-13 Jinsu Kim , Yoonbai Kim , Seong Chan Park

We investigate first-order vacuum phase transitions in the presence of a non-minimally coupled scalar field starting with the coupling effect on the initial dynamics of phase transitions by defining an effective potential for the scalar…

General Relativity and Quantum Cosmology · Physics 2023-02-06 A. Savaş Arapoğlu , A. Emrah Yükselci

In de Sitter ambient space formalism, the massless minimally coupled scalar field can be constructed from a massless conformally coupled scalar field and a constant five-vector $A^{\alpha}$. Also, a constant five-vector $B^{\alpha}$ appears…

General Relativity and Quantum Cosmology · Physics 2021-04-06 Y. Ahmadi , F. Jalilifard , M. V. Takook

We consider cosmological models based on the scalar-torsion gravity implying non-minimal coupling between torsion and the scalar field with certain relations between model's parameters. Based on observational constraints on the values of…

General Relativity and Quantum Cosmology · Physics 2024-11-14 I. V. Fomin , S. V. Chervon , E. S. Dentsel

We construct a single scalar field model with tachyon field non-minimally coupled to itself, its derivative and to the curvature. We study the cosmological dynamics of the equation of state in this setup. While it is expected that in the…

General Relativity and Quantum Cosmology · Physics 2011-09-07 A. Banijamali , B. Fazlpour

The pseudo-conformal scenario is an alternative to inflation in which the early universe is described by an approximate conformal field theory on flat, Minkowski space. Some fields acquire a time-dependent expectation value, which breaks…

High Energy Physics - Theory · Physics 2022-01-12 Kurt Hinterbichler , Austin Joyce , Justin Khoury

We study models of inflation where the scalar field $\phi$ that drives inflation is coupled non-minimally to gravity via $\xi \phi^2 R$, or where the gravity sector is enlarged by an $R^2$ term. We consider the original Higgs inflation,…

Cosmology and Nongalactic Astrophysics · Physics 2019-05-01 Tomo Takahashi , Tommi Tenkanen

In certain scalar-field extensions to general relativity, scalar charges can develop on compact objects in an inspiraling binary -- an effect known as dynamical scalarization. This effect can be modeled using effective-field-theory methods…

General Relativity and Quantum Cosmology · Physics 2022-11-23 Mohammed Khalil , Raissa F. P. Mendes , Néstor Ortiz , Jan Steinhoff

In this proceeding, we review modified theories of gravity with a curvature-matter coupling between an arbitrary function of the scalar curvature and the Lagrangian density of matter. This explicit nonminimal coupling induces a…

General Relativity and Quantum Cosmology · Physics 2022-09-20 Francisco S. N. Lobo , Tiberiu Harko

We demonstrate a systematic implementation of coupling between a scalar field and the geometry of the space (curve, surface, etc.) which carries the field. This naturally gives rise to a feedback mechanism between the field and the…

Pattern Formation and Solitons · Physics 2009-11-10 P. G. Kevrekidis , F. L. Williams , A. R. Bishop , I. G. Kevrekidis , B. A. Malomed

This paper is a sequel of arXiv:0810.4350 [hep-th], and is also devoted to the local "metric-like" unconstrained Lagrangians and field equations for higher-spin fields of mixed symmetry in flat space. Here we complete the previous…

High Energy Physics - Theory · Physics 2015-05-13 Andrea Campoleoni , Dario Francia , Jihad Mourad , Augusto Sagnotti

Models of inflation in which the Higgs field is non-minimally coupled to gravity lead, after a recaling of the metric, to a complicated expression for the potential of the inflaton field. Nevertheless, this potential produces the desired…

High Energy Physics - Theory · Physics 2022-06-08 Noureddine Mohammedi

Scalar Gauss-Bonnet gravity is the only theory with quadratic curvature corrections to general relativity whose field equations are of second differential order. This theory allows for nonperturbative dynamical corrections and is therefore…

General Relativity and Quantum Cosmology · Physics 2020-07-01 Helvi Witek , Leonardo Gualtieri , Paolo Pani
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