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`How do our ideas about quantum mechanics affect our understanding of spacetime?' This familiar question leads to quantum gravity. The complementary question is also important: `How do our ideas about spacetime affect our understanding of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 James B. Hartle

Generalized differential forms are used in discussions of metric geometries and Einstein's vacuum field equations. Cartan's structure equations are generalized and applied. In particular flat generalized connections are associated with any…

Mathematical Physics · Physics 2022-06-14 D C Robinson

This is a review of exceptional field theory: a generalisation of Kaluza-Klein theory that unifies the metric and $p$-form gauge field degrees of freedom of supergravity into a generalised or extended geometry, whose additional coordinates…

High Energy Physics - Theory · Physics 2024-10-22 David S. Berman , Chris D. A. Blair

The Galileon model is a tensor-scalar theory of gravity which explains the late acceleration of the Universe expansion with no instabilities and recovers General Relativity in the strong field limit. Most constraints obtained so far on…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-16 Clément Leloup , Vanina Ruhlmann-Kleider , Jeremy Neveu , Arnaud de Mattia

Oscillons are extremely long lived, oscillatory, spatially localized field configurations that arise from generic initial conditions in a large number of non-linear field theories. With an eye towards their cosmological implications, we…

Cosmology and Nongalactic Astrophysics · Physics 2010-06-17 Mustafa A. Amin , David Shirokoff

We investigate a large class of infinitesimal, but fully nonlinear in the field, transformations of the Galileon and search for extended symmetries. The transformations involve powers of the coordinates $x$ and the field $\pi$ up to any…

High Energy Physics - Theory · Physics 2015-09-23 Johannes Noller , Vishagan Sivanesan , Mikael von Strauss

This article is intended to review the recent developments in the Horndeski theory and its generalization, which provide us with a systematic understanding of scalar-tensor theories of gravity as well as a powerful tool to explore…

General Relativity and Quantum Cosmology · Physics 2019-07-22 Tsutomu Kobayashi

We discuss the gauging of non-linearly realized symmetries as a method to systematically construct spontaneously broken gauge theories. We focus in particular on galileon fields and, using a coset construction, we show how to recover…

High Energy Physics - Theory · Physics 2019-07-23 Sebastian Garcia-Saenz , Jonghee Kang , Riccardo Penco

This work starts with the observation of a certain "rule" (up to now unexplored) in the fundamental laws of Nature. We show some evidence of this, and formulate it as a fundamental principle which exhibits a number physical consequences. In…

High Energy Physics - Theory · Physics 2007-05-23 M. Botta Cantcheff

It was previously found that in a certain parameter subspace of scalar-tensor theories emerging from massive gravity, the only stable field configuration created by static spherically symmetric sources was one with cosmological asymptotics.…

High Energy Physics - Theory · Physics 2015-06-15 L. Berezhiani , G. Chkareuli , C. de Rham , G. Gabadadze , A. J. Tolley

Multidimensional cosmological models with factorizable geometry and their dimensional reduction to effective four-dimensional theories are analyzed on sensitivity to different scalings. It is shown that a non-correct gauging of the…

General Relativity and Quantum Cosmology · Physics 2016-11-09 Uwe Guenther , Alexander Zhuk

We present a wide class of models which realise a bounce in a spatially flat Friedmann universe in standard General Relativity. The key ingredient of the theories we consider is a noncanonical, minimally coupled scalar field belonging to…

High Energy Physics - Theory · Physics 2011-11-14 Damien A. Easson , Ignacy Sawicki , Alexander Vikman

In this paper we study brane-world scenarios with a bulk scalar field, using a covariant formalism to obtain a 4D Einstein equation via projection onto the brane. We discuss, in detail, the effects of the bulk on the brane and how the…

High Energy Physics - Theory · Physics 2008-11-26 A. Mennim , R. A. Battye

Several modified cosmological models exist, which also try to address the tensions between data and predictions of the $\Lambda$-CDM model. Galileon models are particular scalar tensor theories that represent one such possibilities. While…

Cosmology and Nongalactic Astrophysics · Physics 2019-03-27 Francesco Giacomello , Antonio De Felice , Stefano Ansoldi

We present a general algorithm based on the concept of form-invariance which can be used for generating phantom cosmologies. It involves linear transformations between the kinetic energy and the potential of the scalar field, and transforms…

Astrophysics · Physics 2009-11-10 Luis P. Chimento , Ruth Lazkoz

We construct generalized symmetries for linearized Einstein gravity in arbitrary dimensions. First-principle considerations in QFT force generalized symmetries to appear in dual pairs. Verifying this prediction helps us find the full set of…

High Energy Physics - Theory · Physics 2023-05-24 Valentin Benedetti , Pablo Bueno , Javier M. Magan

We consider scalar field theories invariant under extended shift symmetries consisting of higher order polynomials in the spacetime coordinates. These generalize ordinary shift symmetries and the linear shift symmetries of the galileons. We…

High Energy Physics - Theory · Physics 2014-10-16 Kurt Hinterbichler , Austin Joyce

The geodesics of a spacetime seldom coincide with those of an embedded submanifold of codimension one. We investigate this issue for higher-dimensional general relativity-like models, firstly in the simpler case without branes to isolate…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Edward Anderson , Reza Tavakol

We show how the coupling of SO(N) gauge fields to galileons arises from a probe brane construction. The galileons arise from the brane bending modes of a brane probing a co-dimension N bulk, and the gauge fields arise by turning on certain…

High Energy Physics - Theory · Physics 2012-07-12 Garrett Goon , Kurt Hinterbichler , Austin Joyce , Mark Trodden

Degenerate scalar-tensor theories are recently proposed covariant theories of gravity coupled with a scalar field. Despite being characterised by higher order equations of motion, they do not propagate more than three degrees of freedom,…

High Energy Physics - Theory · Physics 2017-03-08 Javier Chagoya , Gianmassimo Tasinato
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