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Exact models of primordial gravitational waves in the Bianchi type III universe are constructed on the basis of the quadratic theory of gravity with a scalar field and pure radiation in Shapovalov wave spacetimes of type II (subtype 2).…

General Relativity and Quantum Cosmology · Physics 2023-08-02 Konstantin Osetrin , Ilya Kirnos , Evgeny Osetrin

We present a novel approach, based entirely on the gravitational potential, for studying the evolution of non-linear cosmological matter perturbations. Starting from the perturbed Einstein equations, we integrate out the non-relativistic…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Ram Brustein , Antonio Riotto

One of the predictions from simple inflation models is a stochastic background of gravitational waves (or literally what is called the Primordial Gravitational Waves (\textbf{PGW})) with a nearly scale--invariant spectrum. In this work, we…

General Relativity and Quantum Cosmology · Physics 2022-07-19 Taimur Mohammadi , Behrooz Malekolkalami

Black hole perturbation theory on spherically symmetric backgrounds has been instrumental in establishing various aspects about the gravitational dynamics close to black holes, and continues to be an interesting avenue to confront current…

General Relativity and Quantum Cosmology · Physics 2025-01-22 Gowtham Rishi Mukkamala , David Pereñiguez

We consider the propagation of strong gravitational waves interacting with a nonperturbative vacuum of spinor fields. To described the latter, we suggest an approximate model. The corresponding Einstein equation has the form of the…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Vladimir Dzhunushaliev , Vladimir Folomeev

The linearized Einstein field equations provide a low-energy wave equation for the propagation of gravitational fields which may originate from a high energy source. Motivated by loop quantum gravity, we propose the polymer quantization…

General Relativity and Quantum Cosmology · Physics 2021-05-05 Angel Garcia-Chung , James B. Mertens , Saeed Rastgoo , Yaser Tavakoli , Paulo Vargas Moniz

We compute analytically the tidal field and polarizations of an exact gravitational wave generated by a cylindrical beam of null matter of finite width and length in quadratic curvature gravity. We propose that this wave can represent the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 E. C. de Rey Neto , J. C. N. de Araujo , O. D. Aguiar

We investigate gravitational waves with an arbitrary potential within the framework of linearized Horndeski theory. We show that the minimum of the potential can play the role of an effective cosmological constant in this theory, which is…

General Relativity and Quantum Cosmology · Physics 2026-03-17 Hatice Özer , Özgür Delice

The dynamics of gravitational waves is investigated in full 3+1 dimensional numerical relativity, emphasizing the difficulties that one might encounter in numerical evolutions, particularly those arising from non-linearities and gauge…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Peter Anninos , Joan Masso , Edward Seidel , Wai-Mo Suen , Malcolm Tobias

We write out the explicit form of the metric for a linearized gravitational wave in the transverse-traceless gauge for any multipole, thus generalizing the well-known quadrupole solution of Teukolsky. The solution is derived using the…

General Relativity and Quantum Cosmology · Physics 2009-01-30 Oliver Rinne

Quadratic gravity is a well-motivated extension of general relativity~(GR) wherein the Einstein-Hilbert action is augmented by quadratic curvature terms. This theory is equivalent to GR in an effective-field-theory framework, while the two…

General Relativity and Quantum Cosmology · Physics 2026-04-03 Georgios Antoniou , Leonardo Gualtieri , Paolo Pani

The energy density spectrum is an observable of gravitational waves. Divergence has appeared in the energy density spectra of the scalar induced gravitational waves for different gauge fixings. To resolve the discrepancy, we investigate the…

General Relativity and Quantum Cosmology · Physics 2020-10-06 Zhe Chang , Sai Wang , Qing-Hua Zhu

The response of a gravitational wave detector to scalar waves is analysed in the framework of the debate on the choice of conformal frames for scalar-tensor theories. A correction to the geodesic equation arising in the Einstein conformal…

High Energy Physics - Theory · Physics 2009-11-07 S. Bellucci , V. Faraoni , D. Babusci

We highlight a non-canonical yet natural choice of variables for an efficient derivation of a kinetic equation for the energy density in non-isotropic systems, including internal gravity waves on a vertical plane, inertial and Rossby waves.…

Fluid Dynamics · Physics 2025-10-14 Michal Shavit , Oliver Bühler , Jalal Shatah

The description of gravitational waves as explosion and implosion waves as predicted by Weber and Wheeler [{\it Rev. Mod. Phys. {\bf 29} 509 (1957)}] in Einstein and Rosen spacetime, has recently been confirmed following observations by the…

General Relativity and Quantum Cosmology · Physics 2025-06-13 Jean Jules Defo , Victor Kamgang Kuetche

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 study a class of almost scale-invariant modified gravity theories, using a particular form of $f(R, G) = \alpha R^2 + \beta G \log G$ where $R$ and $G$ are the Ricci and Gauss-Bonnet scalars, respectively and $\alpha$, $\beta$ are…

General Relativity and Quantum Cosmology · Physics 2018-12-04 Jorge L. Fuentes , Usman A. Gillani , Karim A. Malik

We peform a study of gravitational waves emitted by inspiraling black holes in the context of quadratic gravity. By linearizing the field equations around a flat background, we demonstrate that all degrees of freedom satisfy wave-like…

General Relativity and Quantum Cosmology · Physics 2023-02-13 Matheus F. S. Alves , Luís F. M. A. M. Reis , L. G. Medeiros

Some black hole mimickers, as well as black strings and other higher-dimensional spacetimes, exhibit stable light rings-regions where light or high-frequency gravitational waves can be trapped. In these regions, linear perturbations decay…

General Relativity and Quantum Cosmology · Physics 2025-06-11 Jaime Redondo-Yuste , Alejandro Cárdenas-Avendaño

We present a covariant study of static space-times, as such and as solutions of gravity theories. By expressing the relevant tensors through the velocity and the acceleration vectors that characterise static space-times, the field equations…

General Relativity and Quantum Cosmology · Physics 2023-09-14 Carlo Alberto Mantica , Luca Guido Molinari
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