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We analyse what happens when the Horndeski Lagrangian is varied within the Palatini approach by considering the metric and connection as independent variables. Assuming the connection to be torsionless, there can be infinitely many…

High Energy Physics - Theory · Physics 2020-02-05 Thomas Helpin , Mikhail S. Volkov

Higher derivative scalar interactions can give rise to interesting cosmological scenarios. We present a complete classification of such operators that can yield sizeable effects without introducing ghosts and, at the same time, define an…

High Energy Physics - Theory · Physics 2018-08-22 Luca Santoni , Enrico Trincherini , Leonardo G. Trombetta

Vector Galileons are ghost-free systems containing higher derivative interactions of vector fields. They break the vector gauge symmetry, and the dynamics of the longitudinal vector polarizations acquire a Galileon symmetry in an…

High Energy Physics - Theory · Physics 2016-03-30 Matthew Hull , Kazuya Koyama , Gianmassimo Tasinato

We construct the most general parity-even higher-derivative N=1 off-shell supergravity model in three dimensions with a maximum of six derivatives. Excluding terms quadratic in the curvature tensor with two explicit derivatives and…

High Energy Physics - Theory · Physics 2014-08-28 Eric Bergshoeff , Mehmet Ozkan

A necessary condition for a generally covariant scalar-tensor theory to be ghostfree is that it contains no extra degrees of freedom in the unitary gauge, in which the Lagrangian corresponds to the spatially covariant gravity. Comparing…

General Relativity and Quantum Cosmology · Physics 2022-02-23 Yu-Min Hu , Xian Gao

We provide nonlinear realization of supergravity with an arbitrary number of supersymmetries by means of coset construction. The number of gravitino degrees of freedom counts the number of supersymmetries, which will be possibly probed in…

High Energy Physics - Phenomenology · Physics 2014-11-20 K. -I. Izawa , Y. Nakai , Ryo Takahashi

Galileons are higher-derivative theories of a real scalar which nevertheless admit second order equations of motion. They have interesting applications as dark energy models and in early universe cosmology, and have been conjectured to…

High Energy Physics - Theory · Physics 2013-08-09 Michael Koehn , Jean-Luc Lehners , Burt Ovrut

The Horndeski Lagrangian brings together all possible interactions between gravity and a scalar field that yield second-order field equations in four-dimensional spacetime. As originally proposed, it only addresses phenomenology without…

General Relativity and Quantum Cosmology · Physics 2017-10-18 José Barrientos , Fabrizio Cordonier-Tello , Fernando Izaurieta , Perla Medina , Daniela Narbona , Eduardo Rodríguez , Omar Valdivia

In this manuscript we will present the theoretical framework of the recently proposed infinite derivative theory of gravity with a non-symmetric connection. We will explicitly derive the field equations at the linear level and obtain new…

General Relativity and Quantum Cosmology · Physics 2019-11-21 Álvaro de la Cruz-Dombriz , Francisco José Maldonado Torralba , Anupam Mazumdar

The Horndeski theories are extended into the Lovelock gravity theory. When the canonical scalar field is uniquely kinetically coupled to the Lovelock tensors, it is named after Lovelock scalar field. The Lovelock scalar field model is a…

General Relativity and Quantum Cosmology · Physics 2018-05-18 Changjun Gao

We present the most general quadratic curvature action with torsion including infinite covariant derivatives and study its implications around the Minkowski background via the Palatini approach. Provided the torsion is solely given by the…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Álvaro de la Cruz-Dombriz , Francisco José Maldonado Torralba , Anupam Mazumdar

This paper is concerned with the construction and analysis of boson stars in the context of nonminimal derivative coupling theories. In particular we embed our model in the biscalar extension of Horndeski gravity, considering a scalar field…

High Energy Physics - Theory · Physics 2016-07-06 Yves Brihaye , Adolfo Cisterna , Cristián Erices

A Goldstino field in the nonlinear realization of supersymmetry is constructed from an appropriate chiral super-multiplet of the linear theory, in general O'Raifeataigh-like models. The linear theories can thus be reformulated into their…

High Energy Physics - Theory · Physics 2010-03-02 Hui Luo , Mingxing Luo , Liucheng Wang

We construct four-dimensional covariant non-linear theories of massive gravity which are ghost-free in the decoupling limit to all orders. These theories resum explicitly all the nonlinear terms of an effective field theory of massive…

High Energy Physics - Theory · Physics 2011-07-25 Claudia de Rham , Gregory Gabadadze , Andrew J. Tolley

It has been suggested that using a gauge fixing Lagrangian that is not quadratic in a gauge fixing condition is most appropriate for gauge theories formulated on a hypersphere. We reexamine the appropriate ghost action that is to be…

High Energy Physics - Theory · Physics 2011-10-27 F. T. Brandt , D. G. C. McKeon

Horndeski gravity was highly constrained from the recent gravitational wave observations by the LIGO Collaboration down to $|c_{g}/c-1|\gtrsim 10^{-15}$. In this Letter we study the tensorial perturbations in a flat cosmological background…

General Relativity and Quantum Cosmology · Physics 2020-05-01 Sebastian Bahamonde , Konstantinos F. Dialektopoulos , Viktor Gakis , Jackson Levi Said

The field equations in modified gravity theories possess an important decoupling property with respect to certain classes of nonholonomic frames. This allows us to construct generic off--diagonal solutions depending on all spacetime…

General Relativity and Quantum Cosmology · Physics 2015-02-23 Sergiu I. Vacaru

We consider Horndeski cosmological models, with a minisuperspace Lagrangian linear in the field derivative, that are able to screen any vacuum energy and material content leading to a spatially flat de Sitter vacuum fixed by the theory…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Prado Martin-Moruno , Nelson J. Nunes , Francisco S. N. Lobo

Poincar\'e gauge theories provide an approach to gravity based on the gauging of the Poincar\'e group, whose homogeneous part generates curvature while the translational sector gives rise to torsion. In this note we revisit the stability of…

General Relativity and Quantum Cosmology · Physics 2020-12-16 Jose Beltrán Jiménez , Francisco José Maldonado Torralba

Theories formulated in the arena of teleparallel geometries are generically plagued by ghost-like instabilities or other pathologies that are ultimately caused by the breaking of some symmetries. In this work, we construct a class of…

General Relativity and Quantum Cosmology · Physics 2025-01-15 Antonio G. Bello-Morales , Jose Beltrán Jiménez , Alejandro Jiménez Cano , Antonio L. Maroto , Tomi S. Koivisto
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