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We give a rigorous and mathematically clear presentation of the Covariant and Gauge Invariant theory of gravitational waves in a perturbed Friedmann-Lemaitre-Robertson-Walker universe for Fourth Order Gravity, where the matter is described…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kishore N. Ananda , S. Carloni , P. K. S. Dunsby

We find exact solutions of topologically massive gravity (TMG) and new massive gravity (NMG) in ${2+1}$ dimensions (3D) with an arbitrary cosmological constant, pure radiation, and gyratons, i.e., with possibly non-zero $T_{uu}$ and…

General Relativity and Quantum Cosmology · Physics 2025-04-10 Ercan Kilicarslan , Ivan Kolář

We estimate the possible variations of the gravitational constant G in the framework of a generalized (Bergmann-Wagoner-Nordtvedt) scalar-tensor theory of gravity on the basis of the field equations, without using their special solutions.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 K. A. Bronnikov , V. N. Melnikov , Mario Novello

We discuss the detectability of gravitational waves with a time dependent mass contribution, by means of the stochastic gravitational wave observations. Such a mass term typically arises in the cosmological solutions of massive gravity…

High Energy Physics - Theory · Physics 2012-12-13 A. Emir Gumrukcuoglu , Sachiko Kuroyanagi , Chunshan Lin , Shinji Mukohyama , Norihiro Tanahashi

We derive the equations of motion of a test particle with intrinsic hypermomentum in spacetimes with both torsion $S$ and nonmetricity $Q$ (along with curvature $R$). Accordingly, $S$ and $Q$ can be measured by tracing out the trajectory…

General Relativity and Quantum Cosmology · Physics 2023-10-25 Danianos Iosifidis , Friedrich W. Hehl

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 generalize Einstein's General Relativity (GR) by assuming that all matter (including macro-objects) has quantum effects. An appropriate theory to fulfill this task is Gauge Theory Gravity (GTG) developed by the Cambridge group. GTG is a…

General Relativity and Quantum Cosmology · Physics 2022-12-14 Da-Ming Chen

We analyze the propagation of gravitational waves in a medium containing bounded subsystems ("molecules"), able to induce significant Macroscopic Gravity effects. We establish a precise constitutive relation between the average quadrupole…

General Relativity and Quantum Cosmology · Physics 2019-07-26 Giovanni Montani , Fabio Moretti

The direct detection of gravitational waves opens the possibility to test general relativity and its alternatives in the strong field regime. Here we focus on the test of the existence of extra dimensions. The classification of…

General Relativity and Quantum Cosmology · Physics 2024-02-26 Yu-Qiang Liu , Yu-Qi Dong , Yu-Xiao Liu

We study the motion of test particles and electromagnetic waves in the Kerr-Newman-Taub-NUT spacetime in order to elucidate some of the effects associated with the gravitomagnetic monopole moment of the source. In particular, we determine…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Donato Bini , Christian Cherubini , Robert T. Jantzen , Bahram Mashhoon

We study topologically massive (2+1)-dimensional gravity with a negative cosmological constant. The masses of the linearized curvature excitations about AdS_3 backgrounds are not only shifted from their flat background values but, more…

High Energy Physics - Theory · Physics 2010-04-28 S. Carlip , S. Deser , A. Waldron , D. K. Wise

A gravitational field model based on two symmetric tensors, $g_{\mu \nu}$ and $\tilde{g}_{\mu \nu}$, is presented. In this model, new matter fields are added to the original matter fields, motivated by an additional symmetry…

General Relativity and Quantum Cosmology · Physics 2017-11-06 Jorge Alfaro , Pablo González

In the context of a gauge theory for the translation group, we have obtained, for a spinless particle, a gravitational analog of the Lorentz force. Then, we have shown that this force equation can be rewritten in terms of magnitudes related…

General Relativity and Quantum Cosmology · Physics 2011-07-19 V. C. de Andrade , J. G. Pereira

Polarization wiggling is an observational effect of a gravitational field on the polarization of electromagnetic radiation traversing it. We find that in linear gravity, the polarization wiggle rate contributions from scalar, vector and…

General Relativity and Quantum Cosmology · Physics 2026-04-27 Kjell Tangen

In the context of the teleparallel equivalent of general relativity, we show that the energy-momentum density for the gravitational field can be described by a true spacetime tensor. It is also invariant under local (gauge) translations of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. C. de Andrade , L. C. T. Guillen , J. G. Pereira

A tensor-type cosmological perturbation, defined as a transverse and traceless spatial fluctuation, is often interpreted as the gravitational waves. While decoupled from the scalar-type perturbations in linear order, the tensor…

Cosmology and Nongalactic Astrophysics · Physics 2017-06-28 Jai-chan Hwang , Donghui Jeong , Hyerim Noh

We study the classical solutions of three dimensional topologically massive gravity (TMG) and its higher spin generalization, in the first order formulation. The action of higher spin TMG has been proposed in arXiv:1110.5113 to be of a…

High Energy Physics - Theory · Physics 2015-06-04 Bin Chen , Jiang Long , Jian-dong Zhang

We perform a cosmological test of Cotton gravity, which describes gravity by cotton tensor. We assume in Cotton gravity the background evolution is the same as the flat FLRW background. We derive the cosmological perturbation theory of the…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-23 Pengbo Xia , Dongdong Zhang , Xin Ren , Bo Wang , Yen Chin Ong

It is well known that the cosmological constant term in the Einstein field equations can be interpreted as a stress tensor for dark energy. This stress tensor is formally analogous to an elastic constitutive equation in continuum mechanics.…

General Relativity and Quantum Cosmology · Physics 2024-09-02 Nader Inan , Ahmed Farag Ali , Kimet Jusufi , Abdelrahman Yasser

We investigate the new observational constraints on $f(T)$ gravity that arise from the effects of primordial gravitational waves (GWs) on the cosmic microwave background (CMB) anisotropies and the BB spectrum. We first show that on the GWs…

General Relativity and Quantum Cosmology · Physics 2018-11-30 Rafael C. Nunes , Supriya Pan , Emmanuel N. Saridakis