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We study the polarizations of gravitational waves (GWs) in two classes of extended gravity theories. First, we formulate the polarizations in linear massive gravity (MG) with generic mass terms of non-Fierz-Pauli type by identifying all the…

General Relativity and Quantum Cosmology · Physics 2021-06-15 Tomoya Tachinami , Shinpei Tonosaki , Yuuiti Sendouda

In order to study gravitational waves in any realistic astrophysical scenario, one must consider geometry perturbations up to second order. Here, we present a general technique for studying linear and quadratic perturbations on a spacetime…

General Relativity and Quantum Cosmology · Physics 2019-05-01 Fernando Izaurieta , Eduardo Rodríguez , Omar Valdivia

The cosmological stochastic gravitational-wave background produced by the mildly non-linear evolution of density fluctuations is analyzed, in the frame of an Einstein-de Sitter model, by means of a fully relativistic perturbation expansion…

Astrophysics · Physics 2007-05-23 Sabino Matarrese , Silvia Mollerach

The generation of gravitational waves during inflation due to the non-linear coupling of scalar and tensor modes is discussed. Two methods describing gravitational wave perturbations are used and compared: a covariant and local approach, as…

General Relativity and Quantum Cosmology · Physics 2010-10-27 Bob Osano , Cyril Pitrou , Peter Dunsby , Jean-Philippe Uzan , Chris Clarkson

We employ multiple-scale analysis to systematically derive analytical approximations describing the cosmological propagation of gravitational waves beyond general relativity, in a framework with two interacting spin-2 fields with…

General Relativity and Quantum Cosmology · Physics 2025-11-25 Marco de Cesare , Mairi Sakellariadou , Benjamin Sutton

We investigate gravitational waves in the $f(Q)$ gravity, i.e., a geometric theory of gravity described by a non-metric compatible connection, free from torsion and curvature, known as symmetric-teleparallel gravity. We show that $f(Q)$…

General Relativity and Quantum Cosmology · Physics 2024-02-02 Salvatore Capozziello , Maurizio Capriolo , Shin'ichi Nojiri

Inspired by the translational gauge structure of teleparallel gravity, the theory for a fundamental massless spin-2 field is constructed. Accordingly, instead of being represented by a symmetric second-rank tensor, the fundamental spin-2…

General Relativity and Quantum Cosmology · Physics 2013-02-28 H. I. Arcos , Tiago Gribl Lucas , J. G. Pereira

We investigate propagation of gravitational waves in the most general teleparallel gravity model with second order field equations around the Minkowski background. We argue that in this case the most general Lagrangian at the first order of…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Manuel Hohmann , Martin Krššák , Christian Pfeifer , Ulbossyn Ualikhanova

In this paper, we systematically study gravitational waves (GWs) produced by remote compact astrophysical sources. To describe such GWs properly, we introduce three scales, $\lambda, \; L_c$ and $L$, denoting, respectively, the typical…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-30 Jared Fier , Xiongjun Fang , Bowen Li , Shinji Mukohyama , Anzhong Wang , Tao Zhu

We discuss the production of gravity waves from the fragmentation of a supersymmetric condensate in the early universe. Supersymmetry predicts the existence of flat directions in the potential. At the end of inflation, the scalar fields…

Cosmology and Nongalactic Astrophysics · Physics 2009-07-09 Alexander Kusenko , Anupam Mazumdar , Tuomas Multamaki

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

There exist six possible polarization modes of gravitational waves in general metric theory of gravity, while two tensor polarization modes are allowed in general relativity. The properties and number of polarization modes depend on gravity…

General Relativity and Quantum Cosmology · Physics 2019-08-28 Hiroki Takeda , Atsushi Nishizawa , Koji Nagano , Yuta Michimura , Kentaro Komori , Masaki Ando , Kazuhiro Hayama

Non-vacuum exact gravitational waves invariant for a non Abelian two-dimensional Lie algebra generated by two Killing fields whose commutator is of light type, are described. The polarization of these waves, already known from previous…

General Relativity and Quantum Cosmology · Physics 2009-11-10 F. Canfora , G. Vilasi

We determine the possible gravitational wave polarizations in two general classes of teleparallel gravity theories, using the metric and symmetric teleparallel geometries. For this purpose we apply the Newman-Penrose formalism, and find…

General Relativity and Quantum Cosmology · Physics 2019-01-09 Manuel Hohmann

In the last few years we have seen an increase interest on gravitational waves due to recent and striking experimental results confirming Einstein's general relativity once more. From the field theory point of view, gravity describes the…

High Energy Physics - Theory · Physics 2019-02-06 H. G. M. Fortes , D. Dalmazi

Physics beyond the Standard Model may give rise to first-order phase transitions proceeding via the nucleation of vacuum bubbles, whose subsequent collisions generate gravitational waves (GWs). Their detection would open the possibility of…

High Energy Physics - Phenomenology · Physics 2025-12-03 Katarina Trailović

Cosmological perturbations are considered in $f(T)$ and in scalar-torsion $f(\varphi)T$ teleparallel models of gravity. Full sets of linear perturbation equations are accurately derived and analysed at the relevant limits. Interesting…

General Relativity and Quantum Cosmology · Physics 2023-01-11 Alexey Golovnev , Tomi Koivisto

We consider a scenario with axions/axion-like particles Chern-Simons gravity coupling, such that gravitational waves can be produced directly from axion wave parametric resonance in the early universe after inflation. This axion gravity…

High Energy Physics - Phenomenology · Physics 2024-04-09 Mingqiu Li , Sichun Sun , Qi-Shu Yan , Zhijie Zhao

There is a growing expectation that the gravitational wave detectors will start probing the stochastic gravitational wave backgrounds in the following years. We explore the spectral shapes of gravitational waves induced to second order by…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-13 Ioannis Dalianis , Konstantinos Kritos

We derive the effects of a non-zero cosmological constant $\Lambda$ on gravitational wave propagation in the linearized approximation of general relativity. In this approximation we consider the situation where the metric can be written as…

High Energy Physics - Theory · Physics 2012-09-17 José Bernabeu , Domènec Espriu , Daniel Puigdomènech