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Careful analysis of parametrized variational principles in mechanics and field theory leads to a generalization of Einstein theory that includes a cosmological stress tensor. This generalization also follows by restricting variations of the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Arlen Anderson

Probing extra polarizations in gravitational waves (GWs) with space-based detectors is the most direct method for testing theories of gravity. In this paper, by employing the second-generation time-delay interferometry (TDI) to cancel out…

广义相对论与量子宇宙学 · 物理学 2025-07-22 Tong Jiang , Chunyu Zhang

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…

广义相对论与量子宇宙学 · 物理学 2023-03-31 Alejandro Casallas-Lagos , Claudia Moreno , Javier M. Antelis , Rafael Hernández-Jiménez

We derive a relation between the two polarization modes of a plane, linear gravitational wave in the second-order approximation. Since these two polarizations are not independent, an initially monochromatic gravitational wave loses its…

广义相对论与量子宇宙学 · 物理学 2011-10-05 Nikodem J. Poplawski

In this paper, we study the gravitational wave polarization modes for some particular $f(R)$ models using Newman-Penrose formalism. We find two extra scalar modes of gravitational wave (longitudinal and transversal modes) in addition to two…

广义相对论与量子宇宙学 · 物理学 2017-12-06 M. Sharif , Aisha Siddiqa

We consider an extended theory of gravity with Lagrangian $\mathcal{L} = f(R,{\bf T}^{(n)})$, with ${\bf T}^{(n)}$ being a $2n$-th order invariant made of contractions of the energy-momentum tensor. When $n=1$ this theory reduces to…

广义相对论与量子宇宙学 · 物理学 2022-10-05 Habib Abedi , Francesco Bajardi , Salvatore Capozziello

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

When modified theories of gravity are considered, at most six gravitational wave polarization modes are allowed and classified in tensor modes, the only ones predicted by General Relativity (GR), along with additional vector and scalar…

宇宙学与河外天体物理 · 物理学 2022-03-29 Loris Amalberti , Nicola Bartolo , Angelo Ricciardone

A non-geometrical (but with curved space) theory of gravitation characterized by a vector field representing gravitational matter and a metric tensor presenting space is presented. It is derived from a more general theory of matter and…

广义相对论与量子宇宙学 · 物理学 2008-03-13 Boris Hikin

Einstein-aether theory provides a model to test the validity of local Lorentz invariance in gravitational interactions. The speed of gravitational waves as measured from the binary neutron star event GW170817 sets stringent limits on…

广义相对论与量子宇宙学 · 物理学 2025-08-06 Julius Streibert , Hector O. Silva , Miguel Zumalacárregui

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 general relativity, a gravitational wave has two polarization modes (tensor mode), but it could have additional polarizations (scalar and vector modes) in the early stage of the universe, where the general relativity may not strictly…

广义相对论与量子宇宙学 · 物理学 2014-11-20 Atsushi Nishizawa , Atsushi Taruya , Seiji Kawamura

A gauge-invariant formulation for the gravitational wave equations is presented. Using this approach, weak, plane wave solutions in a vacuum are derived in various theories. These include general relativity with two modes of polarization…

广义相对论与量子宇宙学 · 物理学 2024-06-11 Junpei Harada

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 $f(Q)$…

广义相对论与量子宇宙学 · 物理学 2024-02-02 Salvatore Capozziello , Maurizio Capriolo , Shin'ichi Nojiri

We review the status of "Einstein-Aether theory", a generally covariant theory of gravity coupled to a dynamical, unit timelike vector field that breaks local Lorentz symmetry. Aspects of waves, stars, black holes, and cosmology are…

广义相对论与量子宇宙学 · 物理学 2007-05-23 C. Eling , T. Jacobson , D. Mattingly

Gravitational waves offer a key insight into the viability of classes of gravitational theories beyond general relativity. The observational constraints on their speed of propagation can provide strong constraints on generalized classes of…

广义相对论与量子宇宙学 · 物理学 2025-09-11 Shivam Kumar Mishra , Jackson Levi Said , B. Mishra

We analyze the features of the Minkowskian limit of a particular non-analytical f(R) model, whose Taylor expansion in the weak field limit does not hold, as far as gravitational waves (GWs) are concerned. We solve the corresponding Einstein…

广义相对论与量子宇宙学 · 物理学 2014-10-24 Donatella Fiorucci , Orchidea Maria Lecian , Giovanni Montani

We search for the isotropic stochastic gravitational-wave background, including the nontensorial polarizations that are allowed in general metric theories of gravity, in the Parkes Pulsar Timing Array (PPTA) second data release (DR2). We…

宇宙学与河外天体物理 · 物理学 2025-03-28 Yu-Mei Wu , Zu-Cheng Chen , Qing-Guo Huang

In this article, I present an elementary introduction to the theory of gravitational waves. This article is meant for students who have had an exposure to general relativity, but, results from general relativity used in the main discussion…

物理教育 · 物理学 2007-05-23 Indrajit Chakrabarty

The recent detections of gravitational waves by the advanced LIGO and Virgo detectors open up new tests of modified gravity theories in the strong-field and dynamical, extreme gravity regime. Such tests rely sensitively on the phase…

广义相对论与量子宇宙学 · 物理学 2018-03-14 Alexander Saffer , Nicolas Yunes , Kent Yagi