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The geometrical-optics expansion reduces the problem of solving wave equations to one of solving transport equations along rays. Here we consider scalar, electromagnetic and gravitational waves propagating on a curved spacetime in general…

广义相对论与量子宇宙学 · 物理学 2018-06-25 Sam R Dolan

This dissertation consists of four parts. In Part I, we briefly review fundamental theories of gravity, performed experimental tests, and gravitational waves. The framework and the methods that we use in our calculations are discussed in…

广义相对论与量子宇宙学 · 物理学 2013-08-27 Saeed Mirshekari

A family of exact vacuum solutions, representing generalized plane waves propagating on the (anti-)de Sitter background, is constructed in the framework of Poincar\'e gauge theory. The wave dynamics is defined by the general Lagrangian that…

广义相对论与量子宇宙学 · 物理学 2017-09-21 Milutin Blagojević , Branislav Cvetković , Yuri N. Obukhov

In this paper, we study the polarization of a gravitational wave (GW) emitted by an astrophysical source at a cosmic distance propagating through the Friedmann-Lema\^itre-Robertson-Walk universe. By considering the null geodesic deviations,…

广义相对论与量子宇宙学 · 物理学 2021-10-25 Jia-Xi Feng , Fu-Wen Shu , Anzhong Wang

We explore the gravitational waves (GWs) within the framework of the $f(R)$ gravity model represented by $f(R)=R^{1+\delta}/R^\delta_c$ in the weak field approximation. In this scenario, gravitational waves exhibit an additional…

广义相对论与量子宇宙学 · 物理学 2024-01-17 Utkal Keshari Dash , Bal Krishna Yadav , Murli Manohar Verma

We study linear cosmological perturbations in the most general teleparallel gravity setting, where gravity is mediated by the torsion and nonmetricity of a flat connection alongside the metric. For a general linear perturbation of this…

广义相对论与量子宇宙学 · 物理学 2023-12-22 Lavinia Heisenberg , Manuel Hohmann

The direct detection of gravitational waves by LIGO/Virgo opened the possibility to test General Relativity and its alternatives in the high speed, strong field regime. Alternative theories of gravity generally predict more polarizations…

广义相对论与量子宇宙学 · 物理学 2018-08-10 Yungui Gong , Shaoqi Hou

We explore the possibility of further gravitational wave modes in $F(T)$ gravity, where $T$ is the torsion scalar in teleparallelism. It is explicitly demonstrated that gravitational wave modes in $F(T)$ gravity are equivalent to those in…

广义相对论与量子宇宙学 · 物理学 2013-11-14 Kazuharu Bamba , Salvatore Capozziello , Mariafelicia De Laurentis , Shin'ichi Nojiri , Diego Sáez-Gómez

In this second article of the series, we apply our recently derived equation for the electric field propagation along light rays [arXiv:2004.03496], valid on the electromagnetic geometrical optics limit, to the special case of a toy…

广义相对论与量子宇宙学 · 物理学 2021-03-05 João C. Lobato , Isabela S. Matos , Lucas T. Santana , Ribamar R. R. Reis , Maurício O. Calvão

In a general metric theory of gravitation in four dimensions, six polarizations of a gravitational wave are allowed: two scalar and two vector modes, in addition to two tensor modes in general relativity. Such additional polarization modes…

广义相对论与量子宇宙学 · 物理学 2013-09-23 Atsushi Nishizawa , Kazuhiro Hayama

The detection of gravitational wave signals by Advanced LIGO and Advanced Virgo enables us to probe the polarization content of gravitational waves. In general relativity, only tensor modes are present, while in a variety of alternative…

广义相对论与量子宇宙学 · 物理学 2020-06-05 Peter T. H. Pang , Rico K. L. Lo , Isaac C. F. Wong , Tjonnie G. F. Li , Chris Van Den Broeck

The models of New General Relativity have recently got attention of research community, and there are some works studying their dynamical properties. The formal aspects of this investigation have been mostly restricted to the primary…

广义相对论与量子宇宙学 · 物理学 2024-01-03 Alexey Golovnev , A. N. Semenova , V. P. Vandeev

The detection of gravitational waves by the Laser Interferometer Gravitational-Wave Observatory opens a new era to use gravitational waves to test alternative theories of gravity. We investigate the polarizations of gravitational waves in…

广义相对论与量子宇宙学 · 物理学 2018-04-02 Yungui Gong , Shaoqi Hou

Gravitational waves have only two polarization modes in General Relativity. However, there are six possible modes of polarization in metric theory of gravity in general. The tests of gravitational waves polarization can be tools for…

广义相对论与量子宇宙学 · 物理学 2018-07-19 Hiroki Takeda , Atsushi Nishizawa , Yuta Michimura , Koji Nagano , Kentaro Komori , Masaki Ando , Kazuhiro Hayama

In this review we consider the quadratic Metric-Affine Gauge gravity Lagrangian, which contains all the algebraic invariants up to quadratic order in torsion, nonmetricity and curvature. The goal will be to collect the known exact solutions…

广义相对论与量子宇宙学 · 物理学 2022-11-09 Alejandro Jiménez-Cano

The propagation of high-frequency gravitational waves can be analyzed using the geometrical optics approximation. In the case of large but finite frequencies, the geometrical optics approximation is no longer accurate, and…

广义相对论与量子宇宙学 · 物理学 2021-03-03 Lars Andersson , Jérémie Joudioux , Marius A. Oancea , Ayush Raj

We investigate the polarization modes of gravitational waves in $f(Q)$ non-metric gravity without gauge fixing. The main result of this study is that no further scalar mode appears more than the two standard plus and cross transverse…

广义相对论与量子宇宙学 · 物理学 2024-06-11 Salvatore Capozziello , Maurizio Capriolo

The propagation of free electromagnetic radiation in the field of a plane gravitational wave is investigated. A solution is found one order of approximation beyond the limit of geometrical optics in both transverse--traceless (TT) gauge and…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Enrico Montanari

The paper gives an introduction to the gravitational radiation theory of isolated sources and to the propagation properties of light rays in radiative gravitational fields. It presents a theoretical study of the generation, propagation,…

广义相对论与量子宇宙学 · 物理学 2016-12-07 Luc Blanchet , Sergei Kopeikin , Gerhard Schäfer

In the general theory of relativity, gravitational waves have two possible polarizations, which are transverse and traceless with helicity $\pm 2$. Some alternatives theories contain additional helicity $0$ and helicity $\pm 1$ polarization…

广义相对论与量子宇宙学 · 物理学 2019-03-25 Bruce Allen