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Inflationary models with power-law potentials are starting to be severely constrained by the recent measurements of Cosmic Microwave Background anisotropies provided by the Planck Satellite and by the BICEP2 telescope. In particular, models…

Cosmology and Nongalactic Astrophysics · Physics 2019-05-03 Mehdi Shokri , Fabrizio Renzi , Alessandro Melchiorri

We show that in modified $f(R)$ type gravity models with non-minimal coupling between matter and geometry, both the matter Lagrangian, and the energy-momentum tensor, are completely and uniquely determined by the form of the coupling. This…

General Relativity and Quantum Cosmology · Physics 2010-05-27 T. Harko

In the present study, we consider an extended form of teleparallel Lagrangian $f(T,\phi,X)$, as function of a scalar field $\phi$, its kinetic term $X$ and the torsion scalar $T$. We use linear perturbations to obtain the equation of matter…

General Relativity and Quantum Cosmology · Physics 2018-05-09 Habib Abedi , Salvatore Capozziello , Rocco D'Agostino , Orlando Luongo

We prove several new results concerning action minimizing periodic orbits of Tonelli Lagrangian systems on an oriented closed surface $M$. More specifically, we show that for every energy larger than the maximal energy of a constant orbit…

Dynamical Systems · Mathematics 2021-10-22 Luca Asselle , Gabriele Benedetti , Marco Mazzucchelli

We show that the non-minimal coupling of tachyon field to the scalar curvature, as proposed by Piao et al, with the chosen coupling parameter does not produce the effective potential where the tachyon field can roll down from T=0 to large…

High Energy Physics - Theory · Physics 2010-11-19 Pravabati Chingangbam , Sudhakar Panda , Atri Deshamukhya

Quantization in the minisuperspace of non minimal scalar-tensor theories leads to a partial differential equation which is non separable. Through a conformal transformation we can recast the Wheeler-DeWitt equation in an integrable form,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Julio C. Fabris , Nelson Pinto-Neto , A. F. Velasco

Recent works showing that homogeneous and isotropic cosmologies involving scalar fields correspond to geodesics of certain augmented spaces are generalized to the non-minimal coupling case. As the Maupertuis-Jacobi principle in classical…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Luciana A. Elias , Alberto Saa

A number of arguments at the interplay of general relativity and quantum theory suggest an operational limit to spatial resolution, conventionally modelled as a generalized uncertainty principle (GUP). Recently, it has been demonstrated…

General Relativity and Quantum Cosmology · Physics 2023-07-25 Pasquale Bosso , Giuseppe Fabiano , Domenico Frattulillo , Fabian Wagner

Recently the Master Constraint Programme (MCP) for Loop Quantum Gravity (LQG) was launched which replaces the infinite number of Hamiltonian constraints by a single Master constraint. The MCP is designed to overcome the complications…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Thomas Thiemann

The scalar-spinor interaction Lagrangian is presented by the Yukawa potential. In dS ambient space formalism, the interaction Lagrangian of scalar-spinor fields was obtained from a new transformation which is very similar to the guage…

General Relativity and Quantum Cosmology · Physics 2021-04-14 Y. Ahmadi

Light scalar particles with couplings of sub-gravitational strength, which can generically be called 'dilatons', can produce violations of the equivalence principle. However, in order to understand experimental sensitivities one must know…

General Relativity and Quantum Cosmology · Physics 2011-03-28 Thibault Damour , John F. Donoghue

We develop a framework for constraining a certain class of theories of nonminimally coupled (NMC) gravity with Solar System observations.

General Relativity and Quantum Cosmology · Physics 2015-06-19 Orfeu Bertolami , Riccardo March , Jorge Páramos

We present an approach to the canonical quantization of systems with equations of motion that are historically called non-Lagrangian equations. Our viewpoint of this problem is the following: despite the fact that a set of differential…

High Energy Physics - Theory · Physics 2008-11-26 D. M. Gitman , V. G. Kupriyanov

We use the parameterized post-Newtonian (PPN) formalism to explore the weak field approximation of teleparallel gravity non-minimally coupling to a scalar field $\phi$, with arbitrary coupling function $\omega(\phi)$ and potential…

General Relativity and Quantum Cosmology · Physics 2025-03-28 Zu-Cheng Chen , You Wu , Hao Wei

In this paper we elaborate on the symmetric teleparallel gravity (STPG) written in a non-Riemannian spacetime with nonzero nonmetricity, but zero torsion and zero curvature. Firstly we give a prescription for obtaining the nonmetricity from…

General Relativity and Quantum Cosmology · Physics 2016-08-14 Muzaffer Adak , Özcan Sert , Mestan Kalay , Murat Sarı

We study the implication of R-parity violating Rp Minimal Supersymmetric Standard Model (MSSM) model in lepton polarization asymmetry ALP in B l l(bar) decays . The analysis show that the ALP is significant in a certain phenomenological…

High Energy Physics - Phenomenology · Physics 2010-11-23 Azeem Mir , Farida Tahir , Kamaluddin Ahmed

Among the recent extensions to standard General Relativity, $f(R,\mathcal{L}_m)$ gravity has risen an interest given the possibility of coupling between geometry and matter. We examine the simplest model with non-minimal coupling in the…

General Relativity and Quantum Cosmology · Physics 2024-08-02 Sergio Bravo Medina , Marek Nowakowski , Ronaldo V. Lobato , Davide Batic

We compare the predictions of the fundamentally motivated minimal coupling ($\hat{\boldsymbol{p}}\cdot\hat{\boldsymbol{A}}$) and the ubiquitous dipole coupling ($\hat{\boldsymbol{x}}\cdot\hat{\boldsymbol{E}}$) in the light-matter…

Quantum Physics · Physics 2019-05-08 Nicholas Funai , Jorma Louko , Eduardo Martin-Martinez

The existence of a light or massive scalar field with a coupling to matter weaker than gravitational strength is a possible source of violation of the weak equivalence principle. We use the first results on the E\"otv\"os parameter by the…

General Relativity and Quantum Cosmology · Physics 2018-04-18 Joel Bergé , Philippe Brax , Gilles Métris , Martin Pernot-Borràs , Pierre Touboul , Jean-Philippe Uzan

The non-minimal coupling of a scalar field is considered in the framework of Ashtekar's new variables formulation of gravity. A first order action functional for this system is derived in which the field variables are a tetrad field, and an…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Riccardo Capovilla
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