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We derive in this an expression for the rotation of plane of polarization, of an electromagnetic wave, induced by the field of a gravitational wave propagating along the same direction $\approx \f{G\mu d^2\Omega^4}{3\o}$, $\o$ and $\Omega$…

Astrophysics · Physics 2010-12-17 A. R. Prasanna , S. Mohanty

The scattering cross section for a long-wavelength planar gravitational wave impinging upon a rotating black hole is calculated, for the special case in which the direction of incidence is aligned with the rotation axis. We show that black…

General Relativity and Quantum Cosmology · Physics 2008-11-14 Sam R. Dolan

The prospects for detection of gravitational waves from precessing pulsars have been considered by constructing fully relativistic rotating neutron star models and evaluating the expected wave amplitude $h$ from a galactic source. For a…

Astrophysics · Physics 2016-06-08 J. C. N. de Araújo , J. A. de Freitas Pacheco , J. E. Horvath , M. Cattani

We have studied the effects of imperfections in spherical gravitational wave antenna on our ability to properly interpret the data it will produce. The results of a numerical simulation are reported that quantitatively describe the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Stephen M. Merkowitz , Warren W. Johnson

The discovery of gravitational waves, which are ripples of space-time itself, opened a new window to test general relativity, because it predicts that there are only plus and cross polarizations for gravitational waves. For alternative…

General Relativity and Quantum Cosmology · Physics 2020-07-01 Chunyu Zhang , Qing Gao , Yungui Gong , Bin Wang , Alan J. Weinstein , Chao Zhang

In some modified theories of gravity, gravitational waves can contain up to six different polarizations, which can travel at speeds different from that of light. Searches for these different polarizations in gravitational wave data are…

General Relativity and Quantum Cosmology · Physics 2023-11-21 Kristen Schumacher , Nicolas Yunes , Kent Yagi

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

We describe the signatures of a circularly polarized gravitational-wave background on the timing residuals obtained with pulsar-timing arrays. Most generally, the circular polarization will depend on the gravitational-wave direction, and we…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-08 Enis Belgacem , Marc Kamionkowski

This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a…

Analysis of PDEs · Mathematics 2026-04-10 Tram Thi Ngoc Nguyen , Damien Fournier , Laurent Gizon , Thorsten Hohage

The construction of a massive (~ 40 ton) spherical antennas for gravitational wave astronomy has been proposed by a number of groups worldwide. Summed over all five quadrupole modes, the sphere has a direction-independent cross section,…

General Relativity and Quantum Cosmology · Physics 2016-01-27 Ho Jung Paik

In this article we study two problems that arise when using timing and amplitude estimates from a network of interferometers (IFOs) to evaluate the direction of an incident gravitational wave burst (GWB). First, we discuss an angular bias…

General Relativity and Quantum Cosmology · Physics 2009-01-08 J. Markowitz , M. Zanolin , L. Cadonati , E. Katsavounidis

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…

General Relativity and Quantum Cosmology · Physics 2024-06-11 Junpei Harada

The orbital motion of the Laser Interferometer Space Antenna (LISA) introduces modulations into the observed gravitational wave signal. These modulations can be used to determine the location and orientation of a gravitational wave source.…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Neil J. Cornish , Louis J. Rubbo

In this technical note, we study the possibility of using networks of ground-based detectors to directly measure gravitational-wave polarizations using signals from compact binary coalescences. We present a simple data analysis method to…

General Relativity and Quantum Cosmology · Physics 2017-10-12 Maximiliano Isi , Alan J. Weinstein

General Relativity is a hugely successful description of gravitation. However, both theory and observations suggest that General Relativity might have significant classical and quantum corrections in the Strong Gravity regime. Testing the…

General Relativity and Quantum Cosmology · Physics 2019-09-27 S. Shankaranarayanan

The direct detection of gravitational waves provides the opportunity to measure fundamental aspects of gravity which have never been directly probed before, including the polarization of gravitational waves. In the context of searches for…

General Relativity and Quantum Cosmology · Physics 2017-08-18 Maximiliano Isi , Matthew Pitkin , Alan J. Weinstein

A world-wide array of highly sensitive interferometers stands poised to usher in a new era in astronomy with the first direct detection of gravitational waves. The data from these instruments will provide a unique perspective on extreme…

General Relativity and Quantum Cosmology · Physics 2013-02-27 Neil J. Cornish

Angular fluctuations of suspended mirrors in gravitational wave interferometers are a source of noise both for the locking and the operation of the detectors. We describe here some of the sources of these fluctuations and methods for the…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Gabriela Gonzalez

The circular polarization of gravitational waves is a powerful observable to test parity violation in gravity and to distinguish between the primordial or the astrophysical origin of the stochastic background. This property comes from the…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-02 Lorenzo Valbusa Dall'Armi , Atsushi Nishizawa , Angelo Ricciardone , Sabino Matarrese

The geometric optics approximation traditionally used to study the propagation of gravitational waves on a curved background, breaks down in the vicinity of compact and extended astrophysical objects, where wave-like effects like diffusion…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-06 Giulia Cusin , Ruth Durrer , Pedro G. Ferreira