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Related papers: Primordial Gravitational Waves in Quadratic Gravit…

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It is well-known that the primordial scalar curvature and tensor perturbations, $\zeta$ and $\gamma_{ij}$, are conserved on super-horizon scales in minimal inflation models. However, their wave functional has a rapidly oscillating phase…

High Energy Physics - Theory · Physics 2023-07-04 Sirui Ning , Chon Man Sou , Yi Wang

We address the question of how one can modify the inflationary tensor spectrum without changing at all the successful predictions on the curvature perturbation. We show that this is indeed possible, and determine the two quadratic curvature…

High Energy Physics - Theory · Physics 2015-11-11 Kohji Yajima , Tsutomu Kobayashi

We investigate the gravitational waves and their properties in various modified teleparallel theories, such as $f(T), f(T,B)$ and $f(T,T_G)$ gravities. We perform the perturbation analysis both around a Minkowski background, as well as in…

General Relativity and Quantum Cosmology · Physics 2019-08-21 Gabriel Farrugia , Jackson Levi Said , Viktor Gakis , Emmanuel N. Saridakis

Inspired by the chromo-natural inflation model of Adshead&Wyman, we reshape its scalar content to relax the tension with current observational bounds. Besides an inflaton, the setup includes a spectator sector in which an axion and SU(2)…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-18 Emanuela Dimastrogiovanni , Matteo Fasiello , Tomohiro Fujita

In this paper we consider Quadratic Gravity as a low energy effective field theory of some unknown UV-complete theory of gravity. Using the spin-2 ghost pathology that occurs in Quadratic Gravity, we derive maximum value for the classical…

General Relativity and Quantum Cosmology · Physics 2021-04-08 Callum Hunter

Whether or not the primordial gravitational wave (GW) produced during inflation is sufficiently strong to be observable, GWs are necessarily produced from the primordial curvature perturbations in the second order of perturbation. The…

General Relativity and Quantum Cosmology · Physics 2018-07-02 Kazunori Kohri , Takahiro Terada

In the framework of classical scale invariance, we consider quadratic gravity in the Palatini formalism and investigate the inflationary predictions of the theory. Our model corresponds to a two-field scalar-tensor theory, that involves the…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-28 Ioannis D. Gialamas , Alexandros Karam , Thomas D. Pappas , Vassilis C. Spanos

In quadratic gravity, with a positive Weyl squared coefficient, the extra spin-2 sector is shown to correspond to a dual inverted harmonic oscillator, instead of a ghost. Using the Wightman spectrum condition, we prove that the associated…

High Energy Physics - Theory · Physics 2026-04-27 K. Sravan Kumar , João Marto

In this Letter, we consider original Nash theory of gravity. In terms of the scalar fields representation, Nash gravity is equivalent to the action of bi-scalar tensor gravity with four derivative terms of metric tensor. We then quantify…

General Relativity and Quantum Cosmology · Physics 2020-09-01 Phongpichit Channuie , Davood Momeni , Mudhahir Al Ajmi

Primordial scalar perturbations that reenter the horizon after inflation may induce a second-order Gravitational Wave spectrum with information about the primordial Universe on scales inaccessible to Cosmic Microwave Background experiments.…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-16 Samuel Sánchez López , José Jaime Terente Díaz

We consider Modified Gravity models involving inverse powers of fourth-order curvature invariants. Using these models' equivalence to the theory of a scalar field coupled to a linear combination of the invariants, we investigate the…

Astrophysics · Physics 2007-05-23 Antonio De Felice , Mark Hindmarsh , Mark Trodden

This thesis focuses on gravitational waves (GWs) that arise beyond linear order in cosmological perturbation theory. In recent years, scalar-induced GWs have attracted significant attention because they may serve as the observational…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-13 Raphael Picard

In this paper, the emission of gravitational waves in quadratic gravity theory is examined. The wave equations for massless and massive perturbations are derived, followed by the calculation of the energy and angular momentum radiated. In…

General Relativity and Quantum Cosmology · Physics 2025-04-23 Matheus F. S. Alves , R. R. Cuzinatto , C. A. M. de Melo , L. G. Medeiros , P. J. Pompeia

This paper investigates the effects of nonvanishing spatial curvature on the propagation of primordial gravitational waves produced during inflation. In particular, we consider tensor perturbations over a homogeneous and isotropic…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-29 Rocco D'Agostino , Matteo Califano , Nicola Menadeo , Daniele Vernieri

Quadratic gravity is a UV completion of general relativity, which also solves the hierarchy problem. The presence of 4 derivatives implies via the Ostrogradsky theorem that the $classical$ Hamiltonian is unbounded from below. Here we solve…

General Relativity and Quantum Cosmology · Physics 2019-05-15 Alberto Salvio

This work systematically investigates the post-Newtonian behavior of general quadratic gravity in the weak-field regime. By extending the Einstein-Hilbert action to include quadratic curvature terms as $\mathcal{L}\propto R-\lambda C^2+\mu…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Jie Zhu , Hao Li

We investigate the gravitational radiation emitted by an isolated system for gravity theories with Lagrange density $f(R) = R + aR^2$. As a formal result we obtain leading order corrections to the quadrupole formula in General Relativity.…

General Relativity and Quantum Cosmology · Physics 2011-08-08 Joachim Näf , Philippe Jetzer

The post-Minkowskian limit and gravitational wave solutions for general fourth-order gravity theories are discussed. Specifically, we consider a Lagrangian with a generic function of curvature invariants $f(R,…

General Relativity and Quantum Cosmology · Physics 2015-04-28 A. Stabile , S. Capozziello

We investigate the gravitational wave background induced by the first order scalar perturbations in the curvaton models. We consider the quadratic and axion-like curvaton potential which can generate the blue-tilted power spectrum of…

Cosmology and Nongalactic Astrophysics · Physics 2013-09-09 Masahiro Kawasaki , Naoya Kitajima , Shuichiro Yokoyama

Primordial gravitational waves constitute a promising probe of the very early Universe and the laws of gravity. We study in this work changes to tensor-mode perturbations (TMPs) that can arise in various proposed modified gravity (MG)…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-28 Weikang Lin , Mustapha Ishak
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