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The theoretical and numerical models for gravity driven coating flow on upper cylinder and sphere are formulated. Using a perturbation method, the governing equations which depend on one Bond number $Bo$ are derived for a liquid film flow…

Fluid Dynamics · Physics 2017-08-04 Shuo Hou

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

In general relativity (GR), gravitational waves (GWs) propagate the well-known plus and cross polarization modes which are the signature of a massless spin-2 field. However, diffraction of GWs caused by intervening objects along the line of…

General Relativity and Quantum Cosmology · Physics 2022-01-12 Charles Dalang , Giulia Cusin , Macarena Lagos

Gravitational waves (GWs) offer a new observational window into the universe, providing insights into compact objects and cosmic structures. Gravitational lensing, commonly studied in electromagnetic waves, also affects GWs, introducing…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-25 Xing-Yu Yang , Tan Chen , Rong-Gen Cai

We describe the computation of the Bondi news for gravitational radiation. We have implemented a computer code for this problem. We discuss the theory behind it as well as the results of validation tests. Our approach uses the compactified…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Nigel T. Bishop , Roberto Gómez , Luis Lehner , Manoj Maharaj , Jeffrey Winicour

Symmetric teleparallel gravity (STG) offers an interesting third geometric interpretation of gravitation besides its formulation in terms of a spacetime metric and Levi-Civita connection or its teleparallel formulation. It describes gravity…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Manuel Hohmann , Christian Pfeifer , Jackson Levi Said , Ulbossyn Ualikhanova

The two independent ``plus" and ``cross" polarization waveforms associated with the gravitational waves emitted by inspiralling, non-spinning, compact binaries are presented, ready for use in the data analysis of signals received by future…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Luc Blanchet , Bala R. Iyer , Clifford M. Will , Alan G. Wiseman

The rapid development of gravitational wave astronomy provides the unique opportunity of exploring the dynamics of the Universe using clustering properties of coalescing binary black hole mergers. Gravitational wave data, along with…

Cosmology and Nongalactic Astrophysics · Physics 2023-12-04 Michele Bosi , Nicola Bellomo , Alvise Raccanelli

In this paper the theory and simulation results are presented for 3D vector cylindrical rotationally symmetric electromagnetic wave propagation in an isotropic nonlinear medium using a modified finite-difference time-domain general vector…

Pattern Formation and Solitons · Physics 2025-09-10 Caleb J. Grimms , Robert D. Nevels

In this study, we investigate the polarization properties of gravitational waves within a torsionless spacetime framework, as described by the Palatini formalism. Our analysis uncovers the presence of two novel polarization modes, referred…

General Relativity and Quantum Cosmology · Physics 2025-11-06 Yu-Qi Dong , Xiao-Bin Lai , Yu-Zhi Fan , Yu-Xiao Liu

Gravitational wave astronomy is just beginning, after the recent success of the four direct detections of binary black hole (BBH) mergers, the first observation from a binary neutron star inspiral and with the expectation of many more…

Instrumentation and Methods for Astrophysics · Physics 2018-01-23 I. Di Palma , M. Drago

Binary systems of two compact objects circularize and spiral toward each other via the emission of gravitational waves. The coupling of the spins of each object with the orbital angular momentum causes the orbital plane to precess, which…

General Relativity and Quantum Cosmology · Physics 2017-02-08 Katerina Chatziioannou , Antoine Klein , Neil Cornish , Nicolas Yunes

The modeling of gravitational wave ringdown has traditionally relied on linear perturbation theory, which mainly describes the late-time behavior of a perturbed black hole after a binary merger. However, the need for more accurate ringdown…

General Relativity and Quantum Cosmology · Physics 2026-04-03 Macarena Lagos

New boundary conditions are imposed on the familiar cylindrical gravitational wave vacuum spacetimes. The new spacetime family represents cylindrical waves in a flat expanding (Kasner) universe. Space sections are flat and nonconical where…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Robert H. Gowdy , B. Douglas Edmonds

Gravitational waves (GWs) distort galaxy shapes through the tidal effect, offering a novel avenue to probe the nature of gravity. In this paper, we investigate how extra GW polarizations beyond those predicted by general relativity imprint…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-10 Yusuke Mikura , Teppei Okumura , Misao Sasaki

Galaxy clusters are sources of gravitational radiation. The main aim of this paper is to give numerical estimates and theoretical description of the relevant features of the gravitational radiation coming from an appropriate spatial…

Astrophysics · Physics 2016-08-30 Vicent Quilis , Jose M. Ibanez , Diego Saez

The breaking of an approximate discrete symmetry, the final stages of a first order phase transition, or a post-inflationary biased probability distribution for scalar fields are possible cosmological scenarios characterized by the presence…

Astrophysics · Physics 2009-10-30 Marcelo Gleiser , Ronald Roberts

We transform the metric of an isolated matter source in the multipolar post-Minkowskian approximation from harmonic (de Donder) coordinates to radiative Newman-Unti (NU) coordinates. To linearized order, we obtain the NU metric as a…

General Relativity and Quantum Cosmology · Physics 2021-02-05 Luc Blanchet , Geoffrey Compère , Guillaume Faye , Roberto Oliveri , Ali Seraj

Conventional approaches for scattering manipulations rely on the technique of field expansions into spherical harmonics (electromagnetic multipoles), which nevertheless is non-generic (expansion coefficients depend on the position of the…

Optics · Physics 2024-05-24 Pengxiang Wang , Yuntian Chen , Wei Liu

Relations between the kinematical tensors (the expansion, the shear, and the vorticity) and the polarization modes of gravitational waves are studied within the context of metric theories of gravity by considering freely falling test…

General Relativity and Quantum Cosmology · Physics 2026-04-03 Cynthia Maldonado , Francisco Nettel , Pedro A. Sánchez