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Lagrangian modelling can be used to derive mathematical models for complex power electronic converters. This approach uses scalar quantities (kinetic and potential energy) to derive models, which is simpler than using (vector-based) force…

Systems and Control · Electrical Eng. & Systems 2024-09-24 Shakir Showkat Sofi , Mosaib Ul Munieeb , Fazil Bashir , Munieeb Ul Hassan , Shahkar Ahmad Nahvi

A shift-symmetric Galileon model in presence of spacetime torsion has been constructed for the first time. This has been realized by localizing (or, gauging) the Galileon symmetry in flat spacetime in an appropriate manner. We have applied…

General Relativity and Quantum Cosmology · Physics 2018-10-09 Rabin Banerjee , Sumanta Chakraborty , Pradip Mukherjee

We explore the possibility that the present stage of accelerated expansion of the universe is due to the presence of a cosmic vector field. We show that vector theories allow for the generation of an accelerated phase without the…

Astrophysics · Physics 2008-07-17 Jose Beltran Jimenez , Antonio L. Maroto

Galileon theories are of considerable interest since they allow for stable violations of the null energy condition. Since such violations could have occurred during a high-energy regime in the history of our universe, we are motivated to…

High Energy Physics - Theory · Physics 2015-05-27 Justin Khoury , Jean-Luc Lehners , Burt A. Ovrut

We study cosmological applications of extended vector-tensor theories, whose Lagrangians contain up to two derivatives with respect to metric and vector field. We derive background equations under the assumption of homogeneous and isotropic…

General Relativity and Quantum Cosmology · Physics 2018-07-20 Ryotaro Kase , Rampei Kimura , Atsushi Naruko , Daisuke Yoshida

We give an overview of the implementation of the soft-bootstrap method applied to the landscape of theories where the Special Galileon couples to a massless vector particle. We also describe the corresponding traditional Lagrangian approach…

High Energy Physics - Theory · Physics 2021-01-14 Filip Přeučil

The ``Newtonian'' theory of spatially unbounded, self--gravitating, pressureless continua in Lagrangian form is reconsidered. Following a review of the pertinent kinematics, we present alternative formulations of the Lagrangian evolution…

Astrophysics · Physics 2015-06-24 Juergen Ehlers , Thomas Buchert

Solutions of gravitational equations of gauge theories of gravity in homogeneous isotropic world with massive scalar field are investigated in the case of flat cosmological models. Special attention is dedicated to general behavior of…

Astrophysics · Physics 2009-11-07 G. V. Vereshchagin

Lorentz-violating theories of gravity typically contain constrained vector fields. We show that the lowest-order coupling of such vectors to $\mathrm{U}(1)$-symmetric scalars can naturally give rise to baryogenesis in a manner akin to the…

High Energy Physics - Phenomenology · Physics 2017-09-14 Jeremy Sakstein , Adam R. Solomon

Multiple scalar fields appear in vast modern particle physics and gravity models. When they couple to gravity non-minimally, conformal transformation is utilized to bring the theory into Einstein frame. However, the kinetic terms of scalar…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Yong Tang , Yue-Liang Wu

It is often the case that scalar fields are produced in the early Universe in the form of coherent oscillation. These scalar fields may have huge abundances and affect the evolution of the Universe. In particular, if the lifetime is long…

High Energy Physics - Phenomenology · Physics 2013-02-20 Masahiro Kawasaki , Naoya Kitajima , Kazunori Nakayama

Elementary features of galileon models are discussed at an introductory level. Following a simple example, a general formalism leading to a hierarchy of field equations and Lagrangians is developed for flat spacetimes. Legendre duality is…

High Energy Physics - Theory · Physics 2020-02-14 Thomas L. Curtright , David B. Fairlie , Hassan Alshal

In this paper, we investigate the theoretical possibility that a Lagrangian fixed point, when applied to cosmological models, can drive dynamical evolution towards a bouncing universe. We analyze the physics of a Lagrangian fixed point…

General Relativity and Quantum Cosmology · Physics 2024-10-10 Pedro D. Alvarez , Benjamin Koch , Ali Riahinia , Angel Rincon

We study a recently proposed scenario for the early universe: Subluminal Galilean Genesis. We prove that without any other matter present in the spatially flat Friedmann universe, the perturbations of the Galileon scalar field propagate…

High Energy Physics - Theory · Physics 2013-07-11 Damien A. Easson , Ignacy Sawicki , Alexander Vikman

We investigate the case of a homogeneous tachyon field coupled to gravity in a spatially flat Friedman-Robertson-Walker spacetime. Assuming the field evolution to be exponentially decaying with time we solve the field equations and show…

Astrophysics · Physics 2009-11-11 A. Das , Shashikant Gupta , Tarun Deep Saini , Sayan Kar

We derive a condition on the Lagrangian density describing a generic, single, non-canonical scalar field, by demanding that the intrinsic, non-adiabatic pressure perturbation associated with the scalar field vanishes identically. Based on…

Cosmology and Nongalactic Astrophysics · Physics 2010-06-18 Sanil Unnikrishnan , L. Sriramkumar

Vacuum polarization and particle production effects in classical electromagnetic and gravitational backgrounds can be studied by the effective lagrangian method. Background field configurations for which the effective lagrangian is zero are…

High Energy Physics - Theory · Physics 2016-09-06 L. Sriramkumar , R. Mukund , T. Padmanabhan

A mathematical derivation of Maxwell's equations for gravitation, based on a mathematical proof of Faraday's Law, is presented. The theory provides a linear, relativistic Lagrangian field theory of gravity in a weak field, and paves the way…

General Physics · Physics 2013-05-30 D. H. Sattinger

We derive conditions under which f(G) gravity models, whose Lagrangian densities f are written in terms of a Gauss-Bonnet term G, are cosmologically viable. The most crucial condition to be satisfied is that f_GG, the second derivative of f…

High Energy Physics - Theory · Physics 2009-04-18 Antonio De Felice , Shinji Tsujikawa

A cosmological model that aims at solving the coincidence problem should show that dark energy and dark matter follow the same scaling solution from some time onward. At the same time, the model should contain a sufficiently long…

Astrophysics · Physics 2009-11-11 Luca Amendola , Miguel Quartin , Shinji Tsujikawa , Ioav Waga