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We review the construction of Lagrangians for higher spin fields of mixed symmetry in the framework of graded geometry. The main advantage of the graded formalism in this context is that it provides universal expressions, in the sense that…

High Energy Physics - Theory · Physics 2024-06-11 Athanasios Chatzistavrakidis , Georgios Karagiannis , Peter Schupp

We review Extended Theories of Gravity in metric and Palatini formalism pointing out their cosmological and astrophysical application. The aim is to propose an alternative approach to solve the puzzles connected to dark components.

Astrophysics · Physics 2008-11-26 Salvatore Capozziello , Mauro Francaviglia

This thesis is devoted to the study of gravitational theories which can be seen as modifications or generalisations of General Relativity. The motivation for considering such theories, stemming from Cosmology, High Energy Physics and…

General Relativity and Quantum Cosmology · Physics 2011-11-10 Thomas P. Sotiriou

In this paper I give overviews of the polysymplectic approach to covariant Hamiltonian field theory and the simplest geometric quantization of classical particle theories. I then give a synopsis of a recently proposed toy model for applying…

General Relativity and Quantum Cosmology · Physics 2020-12-15 Tom McClain

We study the regularization of theories of ``brane induced'' gravity in codimension $N>1$. The brane can be interpreted as a thin dielectric with a large dielectric constant, embedded in a higher dimensional space. The kinetic term for the…

High Energy Physics - Theory · Physics 2009-11-10 Marko Kolanovic , Massimo Porrati , Jan-Willem Rombouts

In this paper I shall consider various possible scalar-vector-tensor field theories which might be used to describe the Universe. After imposing numerous constraints of a physical and mathematical nature on the theories under consideration,…

General Relativity and Quantum Cosmology · Physics 2018-04-02 Gregory W. Horndeski

The use of quantum field theory to understand astrophysical phenomena is not new. However, for the most part, the methods used are those that have been developed decades ago. The intervening years have seen some remarkable developments in…

High Energy Astrophysical Phenomena · Physics 2019-11-11 Daniel J. Burger , Raúl Carballo-Rubio , Nathan Moynihan , Jeff Murugan , Amanda Weltman

We constrain effective field theories by going beyond the familiar positivity bounds that follow from unitarity, analyticity, and crossing symmetry of the scattering amplitudes. As interesting examples, we discuss the implications of the…

High Energy Physics - Theory · Physics 2018-04-25 Brando Bellazzini , Francesco Riva , Javi Serra , Francesco Sgarlata

We construct free Lie algebras which, together with the algebra of spatial rotations, form infinite-dimensional extensions of finite-dimensional Galilei Maxwell algebras appearing as global spacetime symmetries of extended non-relativistic…

High Energy Physics - Theory · Physics 2020-06-23 Joaquim Gomis , Axel Kleinschmidt , Jakob Palmkvist

Theories of modified gravity attempt to reconcile physics at the largest and the smallest scales by explaining the accelerated expansion of our universe without introducing the cosmological constant. One class of such theories, known as…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-11 Youngsoo Park , Mark Wyman

A generalization of two recently proposed general relativity Hamiltonians, to the case of a general (d+1)-dimensional dilaton gravity theory in a manifold with a timelike or spacelike outer boundary, is presented.

General Relativity and Quantum Cosmology · Physics 2009-10-31 M. Cadoni , P. G. L. Mana

Generalisations of geometry have emerged in various forms in the study of field theory and quantization. This mini-review focuses on the role of higher geometry in three selected physical applications. After motivating and describing some…

High Energy Physics - Theory · Physics 2023-05-24 Athanasios Chatzistavrakidis

In this paper, we initiate the study of multi-flavor Galileon theories using the methods of scattering amplitudes. We explore this topic from different perspectives and extend the techniques employed so far mainly in the single-flavor case.…

High Energy Physics - Theory · Physics 2020-12-30 Karol Kampf , Jiri Novotny

We show a model of the slow expansion, in which the scale invariant spectrum of curvature perturbation is adiabatically induced by its increasing mode, by applying a generalized Galileon field. In this model, initially \epsilon << -1, which…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Zhi-Guo Liu , Jun Zhang , Yun-Song Piao

The Galileon model is a modified gravity model that can explain the late-time accelerated expansion of the Universe. In a previous work, we derived experimental constraints on the Galileon model with no explicit coupling to matter and…

General Relativity and Quantum Cosmology · Physics 2014-11-07 J. Neveu , V. Ruhlmann-Kleider , P. Astier , M. Besançon , A. Conley , J. Guy , A. Möller , N. Palanque-Delabrouille , E. Babichev

A century ago, Einstein formulated his elegant and elaborate theory of General Relativity, which has so far withstood a multitude of empirical tests with remarkable success. Notwithstanding the triumphs of Einstein's theory, the tenacious…

General Relativity and Quantum Cosmology · Physics 2019-05-01 Lavinia Heisenberg

It is shown that a disformally coupled theory in which the gravitational sector has the Einstein-Hilbert form is equivalent to a quartic DBI Galileon Lagrangian, possessing non-linear higher derivative interactions, and hence allowing for…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-02 Miguel Zumalacarregui , Tomi S. Koivisto , David F. Mota

Galilean transformation properties of different physical quantities are investigated from the point of view of four dimensional Galilean relativistic (non-relativistic) space-time. The objectivity of balance equations of general heat…

Classical Physics · Physics 2020-09-02 Peter Ván , Vincenzo Ciancio , Liliana Restuccia

We investigate the existence and behavior of oscillons in theories in which higher derivative terms are present in the Lagrangian, such as galileons. Such theories have emerged in a broad range of settings, from higher-dimensional models,…

High Energy Physics - Theory · Physics 2018-12-19 Jeremy Sakstein , Mark Trodden

We analyse cosmological perturbations around a homogeneous and isotropic background for scalar-tensor, vector-tensor and bimetric theories of gravity. Building on previous results, we propose a unified view of the effective parameters of…

General Relativity and Quantum Cosmology · Physics 2018-03-28 Macarena Lagos , Emilio Bellini , Johannes Noller , Pedro G. Ferreira , Tessa Baker