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It is shown that polynomial gravity theories with more than four derivatives in each scalar and tensor sectors have a regular weak-field limit, without curvature singularities. This is achieved by proving that in these models the effect of…

General Relativity and Quantum Cosmology · Physics 2019-07-09 Breno L. Giacchini , Tibério de Paula Netto

We examine the teleparallel formulation of non-minimally coupled scalar Einstein-Gauss-Bonnet gravity. In the teleparallel formulation, gravity is described by torsion instead of curvature, causing the usual Gauss-Bonnet invariant expressed…

General Relativity and Quantum Cosmology · Physics 2023-09-26 Sebastian Bahamonde , Daniela D. Doneva , Ludovic Ducobu , Christian Pfeifer , Stoytcho S. Yazadjiev

We analyse scale invariant quadratic quantum gravity incorporating non-minimal coupling to a multiplet of scalar fields in a gauge theory, with particular emphasis on the consequences for its interpretation resulting from a transformation…

High Energy Physics - Theory · Physics 2018-03-07 Martin B. Einhorn , D. R. Timothy Jones

This paper presents the first derivation of the quadratic action for curvature perturbations, $\zeta$, within the framework of cuscuton gravity. We study the scalar cosmological perturbations sourced by a canonical single scalar field in…

High Energy Physics - Theory · Physics 2017-07-26 Supranta S. Boruah , Hyung J. Kim , Ghazal Geshnizjani

We prove that many cosmological models characterized by vectors nonminimally coupled to the curvature (such as the Turner-Widrow mechanism for the production of magnetic fields during inflation, and models of vector inflation or vector…

Cosmology and Nongalactic Astrophysics · Physics 2010-01-07 Burak Himmetoglu , Carlo R. Contaldi , Marco Peloso

In the framework of teleparallel gravity, the Friedman-Robertson-Walker cosmological model with scalar tensor theory where scalar field is non-minimally coupled to both the torsion scalar and boundary term is studied. Utilizing the Noether…

General Relativity and Quantum Cosmology · Physics 2018-08-29 Ganim Gecim , Yusuf Kucukakca

We calculate the scalar-induced gravitational wave energy density in the theory of Ghost Inflation, assuming scale invariance and taking into account both the power spectrum- and trispectrum-induced contributions. For the latter we consider…

General Relativity and Quantum Cosmology · Physics 2023-12-06 Sebastian Garcia-Saenz , Yizhou Lu , Zhiming Shuai

A discussion of the number of degrees of freedom, and their dynamical properties, in higher derivative gravitational theories is presented. The complete non-linear sigma model for these degrees of freedom is exhibited using the method of…

High Energy Physics - Theory · Physics 2011-04-15 Ahmed Hindawi , Burt A. Ovrut , Daniel Waldram

We study a cosmological model in the framework of teleparallel gravity, where a vector field $A_\mu$ is non-minimally coupled to the torsion scalar $T$ in a flat Friedmann-Robertson-Walker (FRW) universe. Using the Noether symmetry…

General Relativity and Quantum Cosmology · Physics 2025-08-26 Yusuf Kucukakca , Fereshteh Omidvar , Amin Rezaei Akbarieh

Higher derivative quantum corrections are essential components of scalar tensor effective field theories (EFTs), yet they typically reintroduce the Ostrogradsky ghost instability that the classical theory was designed to evade. This paper…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-21 Ginevra Braga , Raul Jimenez , Sabino Matarrese

We discuss how tensor polarizations of gravitational waves can suffer Landau damping in the presence of velocity birefringence, when parity symmetry is explicitly broken. In particular, we analyze the role of the Nieh-Yan and Chern-Simons…

General Relativity and Quantum Cosmology · Physics 2023-02-07 Flavio Bombacigno , Fabio Moretti , Simon Boudet , Gonzalo J. Olmo

In gravitostatics, the minimally generalized Newtonian theory, the simplest cosmological model implies a cosmological redshift with acceleration parameter -1. If the gravitational potential satisfies a wave equation, the total mass density…

Astrophysics · Physics 2007-05-23 Peter Rastall

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 perform the complete canonical analysis of the tetrad formulation of bimetric gravity and confirm that it is ghost-free describing the seven degrees of freedom of a massless and a massive gravitons. In particular, we find explicit…

High Energy Physics - Theory · Physics 2014-09-04 Sergei Alexandrov

Three models with nonlinear realizations of conformal symmetry are discussed. The simplest model can only describe a universe expanding with a deceleration and does not include inflation. The other models are equivalent up to a variables…

General Relativity and Quantum Cosmology · Physics 2021-12-23 Stanislav Alexeyev , Daniil Krichevskiy , Boris Latosh

We describe the fully gauge invariant cosmological perturbation equations in teleparallel gravity by using the gauge covariant version of the Stewart lemma for obtaining the variations in tetrad perturbations. In teleparallel theory,…

General Relativity and Quantum Cosmology · Physics 2016-05-31 A. Behboodi , S. Akhshabi , K. Nozari

We study cosmological perturbations in a non-local higher-derivative model of gravity introduced by Biswas, Mazumdar and Siegel. We extend previous work, which had focused on classical scalar perturbations around a cosine hyperbolic bounce…

High Energy Physics - Theory · Physics 2015-06-22 Ben Craps , Tim De Jonckheere , Alexey S. Koshelev

We perform a full investigation on dynamics of a new dark energy model in which the four-derivative of a non-canonical scalar field (tachyon) is non-minimally coupled to the vector torsion. Our analysis is done in the framework of…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Behnaz Fazlpour , Ali Banijamali

In this paper we establish the correspondence between ghost-free bimetric theory and a class of higher derivative gravity actions, including conformal gravity and New Massive Gravity. We also characterize the relation between the respective…

High Energy Physics - Theory · Physics 2015-07-24 S. F. Hassan , Angnis Schmidt-May , Mikael von Strauss

We introduce a new class of two dimensional gravity models using ideas motivated by the Teleparallel Equivalent of General Relativity. This leads to a rather natural formulation of a theory that has close links with Jackiw-Teitelboim…

General Relativity and Quantum Cosmology · Physics 2024-09-13 Christian G. Boehmer , Rafael Ferraro , Franco Fiorini
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