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The role played by torsion in gravitation is critically reviewed. After a description of the problems and controversies involving the physics of torsion, a comprehensive presentation of the teleparallel equivalent of general relativity is…

General Relativity and Quantum Cosmology · Physics 2009-11-11 H. I. Arcos , J. G. Pereira

A significant fraction of gravitational-wave mergers are expected to be eccentric in the Laser-Interferometer-Space-Antenna (LISA) frequency band, $10^{-4} - 10^{-1}$ Hz. Several LIGO-Virgo-KAGRA events show potential hints of residual…

High Energy Astrophysical Phenomena · Physics 2025-10-16 Evgeni Grishin , Isobel M. Romero-Shaw , Alessandro A. Trani

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

The conserved quantities, that are, gravitational energy-momentum and its relevant quantities are investigated for cylindrical and spherical gravitational waves in the framework of teleparallel equivalent of General Relativity using the…

General Relativity and Quantum Cosmology · Physics 2010-03-04 M. Sharif , Sumaira Taj

We analyze the propagation and polarization properties of high-frequency gravitational waves in Einstein-\AE ther theory on vorticity-free and slowly-varying backgrounds at both leading and next-to-leading orders within the geometric optics…

General Relativity and Quantum Cosmology · Physics 2026-01-21 Yu-Qi Dong , Shinji Mukohyama , Yu-Xiao Liu

We consider a new form of theories of gravity in which the action is written in terms of the Ricci scalar and its first and second derivatives. Despite the higher derivative nature of the action, the theory is free from ghost under an…

General Relativity and Quantum Cosmology · Physics 2019-04-24 Atsushi Naruko , Daisuke Yoshida , Shinji Mukohyama

The inspiral phase of gravitational waves emitted by spinless compact binary systems is derived through the fourth-and-a-half post-Newtonian (4.5PN) order beyond quadrupole radiation, and the leading amplitude mode ($\ell$, m) = (2, 2) is…

General Relativity and Quantum Cosmology · Physics 2023-10-03 Luc Blanchet , Guillaume Faye , Quentin Henry , François Larrouturou , David Trestini

Gravitational waves are generated during first-order phase transitions, either by turbolence or by bubble collisions. If the transition takes place at temperatures of the order of the electroweak scale, the frequency of these gravitational…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Riccardo Apreda , Michele Maggiore , Alberto Nicolis , Antonio Riotto

In this work, we discuss the polarization contents of Einstein-\ae ther theory and the generalized tensor-vector-scalar (TeVeS) theory, as both theories have a normalized timelike vector field. We derive the linearized equations of motion…

General Relativity and Quantum Cosmology · Physics 2018-04-25 Yungui Gong , Shaoqi Hou , Dicong Liang , Eleftherios Papantonopoulos

Scalar polarization modes of gravitational waves, which are often introduced in the context of the viable extension of gravity, have been actively searched. However, couplings of the scalar modes to the matter are strongly constrained by…

General Relativity and Quantum Cosmology · Physics 2023-07-19 Hiroki Takeda , Yusuke Manita , Hidetoshi Omiya , Takahiro Tanaka

We construct the consistent ghost-free covariant scalar-vector-tensor gravity theories with second order equations of motion with derivative interactions. We impose locality, unitarity, Lorentz invariance and pseudo-Riemannian geometry as…

General Relativity and Quantum Cosmology · Physics 2018-11-07 Lavinia Heisenberg

Teleparallel gravity is a modified theory of gravity for which the Ricci scalar $R$ of the underlying geometry in the action is replaced by an arbitrary functional form of torsion scalar $T$. In doing so, cosmology in $% f(T)$ gravity…

General Physics · Physics 2022-07-20 Sanjay Mandal , Snehasish Bhattacharjee , S. K. J. Pacif , P. K. Sahoo

We study second order gravitational perturbations on plane wave spacetimes from both the metric and curvature perturbation points of view. For the former, we explicitly use the isometries of the background to introduce tensor oscillator…

General Relativity and Quantum Cosmology · Physics 2025-09-05 Kwinten Fransen , David Pereñiguez , Jaime Redondo-Yuste

The properties of metric perturbations are determined in the context of an expanding Universe governed by a modified theory of gravity with a non-minimal coupling between curvature and matter. We analyse the dynamics of the 6 components of…

General Relativity and Quantum Cosmology · Physics 2025-01-07 Miguel Barroso Varela , Orfeu Bertolami

In this review we examine the amplitude intensity associated to tensorial and non-tensorial polarization modes generated by binary systems at their inspiral stage, within the alternative theories of gravity of Brans Dicke, Rosen, and…

General Relativity and Quantum Cosmology · Physics 2023-03-31 Alejandro Casallas-Lagos , Claudia Moreno , Javier M. Antelis , Rafael Hernández-Jiménez

Gravitational coupling of the propagation four-vectors of matter wave functions is formulated in flat space-time. Coupling at the momentum level rather than at the "force-law" level greatly simplifies many calculations. This locally…

General Relativity and Quantum Cosmology · Physics 2015-03-18 Carver Mead

This work is an application of the second order gauge theory for the Lorentz group, where a description of the gravitational interaction is obtained which includes derivatives of the curvature. We analyze the form of the second field…

General Relativity and Quantum Cosmology · Physics 2015-02-24 R. R. Cuzinatto , C. A. M. de Melo , L. G. Medeiros , P. J. Pompeia

Teleparallel gravity offers a new avenue in which to construct gravitational models beyond general relativity. While teleparallel gravity can be framed in a way to be dynamically equivalent to general relativity, its modifications are…

General Relativity and Quantum Cosmology · Physics 2021-01-28 Sebastian Bahamonde , Viktor Gakis , Stella Kiorpelidi , Tomi Koivisto , Jackson Levi Said , Emmanuel N. Saridakis

First order phase transitions in the early universe can give rise to a stochastic background of gravitational waves. A hypothetical first order electroweak phase transition is particularly interesting in this respect, since the signal is in…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-17 Chiara Caprini

We compute the gravitational waves generated by compact binary systems in a class of massless scalar-tensor (ST) theories to the 1.5 post-Newtonian (1.5PN) order beyond the standard quadrupole radiation in general relativity (GR). Using and…

General Relativity and Quantum Cosmology · Physics 2023-06-02 David Trestini