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We parameterize the evolutions of the slow expansion, which emerges from a static state in infinite past, into different classes. We show that the scale invariant adiabatical perturbation may be generated during these evolutions, and the…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Zhi-Guo Liu , Yun-Song Piao

We study the cosmology of a covariant Galileon field with five covariant Lagrangians and confront this theory with the most recent cosmological probes: the type Ia supernovae data (Constitution and Union2 sets), cosmic microwave background…

Cosmology and Nongalactic Astrophysics · Physics 2011-01-17 Savvas Nesseris , Antonio De Felice , Shinji Tsujikawa

We investigate the Lagrangian perturbation theory of a homogeneous and isotropic universe in the non-relativistic limit, and derive the solutions up to the fourth order. These solutions are needed for example for the next-to-leading order…

Cosmology and Nongalactic Astrophysics · Physics 2012-06-15 Cornelius Rampf , Thomas Buchert

We have developed a new formulation to obtain self-gravitating, axisymmetric configurations in permanent rotation. The formulation is based on the Lagrangian variational principle, and treats not only barotropic but also baroclinic…

Solar and Stellar Astrophysics · Physics 2017-03-15 Nobutoshi Yasutake , Kotaro Fujisawa , Shoichi Yamada

We present the first example of an interacting Carroll supersymmetric field theory with both temporal and spatial derivatives, belonging to the Galileon class, where the non-linear field equation remains second-order in derivative. To…

High Energy Physics - Theory · Physics 2025-04-21 Utku Zorba , Ilayda Bulunur , Oguzhan Kasikci , Mehmet Ozkan , Yi Pang , Mustafa Salih Zog

Fundamental assumptions which form the basis of models for large-scale structure in the Universe are sketched in light of a Lagrangian description of inhomogeneities. This description is introduced for Newtonian self-gravitating flows. On…

Astrophysics · Physics 2009-09-25 T. Buchert

Theory known as Special Galileon has recently attracted considerable interest due to its peculiar properties. It has been shown that it represents an extremal member of the set of effective field theories with enhanced soft limit. This…

High Energy Physics - Theory · Physics 2017-03-29 Jiri Novotny

We consider the classical equations of motion for a single Galileon field with generic parameters in the presence of non-relativistic sources. We introduce the concept of absolute stability of a theory: if one can show that a field at a…

High Energy Physics - Theory · Physics 2015-05-28 Solomon Endlich , Junpu Wang

We construct simple Lagrangians of vector fields which involve second derivatives, but nevertheless lead to second order field equations. These vector fields are, therefore, analogs of generalized Galileons. Our construction is given first…

High Energy Physics - Theory · Physics 2019-07-24 Pavel Petrov

The modified Gauss-Bonnet gravity can be motivated by a number of physical reasons, including: the uniqueness of a gravitational Lagrangian in four and higher dimensions and the leading order $\alpha^\prime$ corrections in superstring…

High Energy Physics - Theory · Physics 2017-08-23 Ishwaree P. Neupane

In this work, we present a consistent Hamiltonian analysis of cosmological perturbations at all orders. To make the procedure transparent, we consider a simple model and resolve the `gauge-fixing' issues and extend the analysis to scalar…

General Relativity and Quantum Cosmology · Physics 2016-09-28 Debottam Nandi , S. Shankaranarayanan

The recent simultaneous detection of gravitational waves and a gamma ray burst from a neutron star merger significantly shrank the space of viable scalar-tensor theories by demanding that the speed of gravity is equal to that of light. The…

Cosmology and Nongalactic Astrophysics · Physics 2018-04-06 Marco Crisostomi , Kazuya Koyama

We study the cosmology of an extended version of Horndeski theories with second-order equations of motion on the flat Friedmann-Lema\^{i}tre-Robertson-Walker (FLRW) background. In addition to a dark energy field $\chi$ associated with the…

High Energy Physics - Theory · Physics 2014-09-01 Ryotaro Kase , Shinji Tsujikawa

Vortex solutions are topologically stable field configurations that can play an important role in condensed matter, field theory, and cosmology. We investigate vortex configuration in a 2+1 dimensional Abelian Higgs theory supplemented by…

High Energy Physics - Theory · Physics 2016-03-23 Javier Chagoya , Gianmassimo Tasinato

The complete theory of cosmological evolution's macroscopic description is constructed with a help of self-consistent field. The theory includes a subsystem of linear equations of perturbations' evolution and nonlinear macroscopic Einstein…

General Relativity and Quantum Cosmology · Physics 2020-07-09 Yu. G. Ignat'ev

We study spatially homogeneous and isotropic solutions to the equations of motion derived from dilaton gravity, in the presence of a special combination of higher derivative terms in the gravitational action. All solutions are nonsingular.…

General Relativity and Quantum Cosmology · Physics 2009-10-31 R. Brandenberger , Richard Easther , J. Maia

Galileons are scalar field theories which obey the Galileon symmetry $\varphi \to \varphi + b + c_\mu x^\mu$ and are capable of self-acceleration if they have an inverted sign for the kinetic term. These theories violate the Strong…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-20 Deaglan J. Bartlett , Harry Desmond , Pedro G. Ferreira

A hybrid three-form model of dark energy is developed in order to identify scaling solutions, a long-sought feature in three-form cosmology. Exploiting Hodge dualities, the theory is formulated in terms of two scalar functions that are…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-18 Vitor da Fonseca , Bruno J. Barros , Tiago Barreiro , Nelson J. Nunes

We develop a Lagrangian formulation for gravity with matter where the gravitational couplings are universally treated as being field-dependent. The solutions for FLRW geometries and the associated time evolution of the Newton and…

General Relativity and Quantum Cosmology · Physics 2025-10-15 Sandipan Sengupta

We have been studied the model of light Galileon with translational shift symmetry $\phi\to \phi+c$. The matter Lagrangian is presented in the form $\mathcal{L}_{\phi}= -\eta (\partial \phi)^2+\beta…

General Relativity and Quantum Cosmology · Physics 2018-10-09 D. Momeni , M. J. S. Houndjo , E. Güdekli , M. E. Rodrigues , F. G. Alvarenga , R. Myrzakulov
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