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The pulsar timing residuals induced by gravitational waves from non-evolving single binary sources are affected by many parameters related to the relative positions of the pulsar and the gravitational wave sources. We will fully analyze the…

High Energy Astrophysical Phenomena · Physics 2015-06-18 Ming-Lei Tong , Cheng-Shi Zhao , Bao-Rong Yan , Ting-Gao Yang , Yu-Ping Gao

The periodic standing-wave method for binary inspiral computes the exact numerical solution for periodic binary motion with standing gravitational waves, and uses it as an approximation to slow binary inspiral with outgoing waves. Important…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Zeferino Andrade , Christopher Beetle , Alexey Blinov , Benjamin Bromley , Lior M. Burko , Maria Cranor , Robert Owen , Richard H. Price

In this short paper we investigate quantum gravitational effects on Einstein's equations using effective field theory techniques. We consider the leading order quantum gravitational correction to the wave equation. Besides the usual…

High Energy Physics - Theory · Physics 2016-08-24 Xavier Calmet , Iberê Kuntz , Sonali Mohapatra

The most accurate model to describe the gravitational interaction is the well-known theory of General Relativity. Several observational evidences corroborate the legitimacy of the theory compared to the older Newtonian gravity. General…

General Relativity and Quantum Cosmology · Physics 2021-10-07 Lorenzo Annulli

The rotation of the bodies and the eccentricity of the orbit have significant effects on the emitted gravitational radiation of binary systems. This work focuses on the evaluation of the gravitational wave polarization states for spinning…

General Relativity and Quantum Cosmology · Physics 2008-11-26 János Majár , Mátyás Vasúth

Sources of high frequency gravitational waves are reviewed. Gravitational collapse, rotational instabilities and oscillations of the remnant compact objects are potentially important sources of gravitational waves. Significant and unique…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Kostas D. Kokkotas

We present a new multivariate regression model for analysis and parameter estimation of gravitational waves observed from well but not perfectly modeled sources such as core-collapse supernovae. Our approach is based on a principal…

General Relativity and Quantum Cosmology · Physics 2014-12-17 William J. Engels , Raymond Frey , Christian D. Ott

The circular orbits and elliptical orbits of moving objects in a gravitational field are essential information in astronomy. There have been many methods developed in the literature and textbooks to describe these orbits. In this report, I…

Earth and Planetary Astrophysics · Physics 2024-02-22 Jixin Chen

These notes provide a student-friendly introduction to the theory of gravitational waves in full, non-linear general relativity (GR). We aim for a balance between physical intuition and mathematical rigor and cover topics such as the…

General Relativity and Quantum Cosmology · Physics 2022-01-28 Fabio D'Ambrosio , Shaun D. B. Fell , Lavinia Heisenberg , David Maibach , Stefan Zentarra , Jann Zosso

We derive a simple relationship between the energy emitted in gravitational waves for a narrowband source and the distance to which that emission can be detected by a single detector. We consider linearly polarized, elliptically polarized,…

General Relativity and Quantum Cosmology · Physics 2013-04-02 Patrick J. Sutton

We investigate an effect of the resonant interaction in the case of one-directional propagation of capillary-gravity surface waves arising as the free surface of a rotational water flow. Specifically, we assume a constant vorticity in the…

Fluid Dynamics · Physics 2019-11-14 Rossen I. Ivanov , Calin I. Martin

We introduce a circular restricted charged three-body problem on the plane. In this model, the gravitational and Coulomb forces, due to the primary bodies, act on a test particle; the net force exerted by some primary body on the test…

Dynamical Systems · Mathematics 2015-03-31 Abimael Bengochea , Claudio Vidal

The irreducible representations of the extended Galilean group are used to derive infinite sets of symmetric and asymmetric second-order differential equations with constant coeffcients. All derived equations are local and their Lagrangians…

General Physics · Physics 2023-04-14 Z. E. Musielak

We present a general method for computing the gravitational radiation arising from the motion of bubble walls or thin fluid shells in cosmological phase transitions. We discuss the application of this method to different wall kinematics. In…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-03 Ariel Megevand , Federico Agustin Membiela

Continuous wave gravitational radiation from isolated rotating neutron stars is discussed. The general waveform and orders of magnitude for the amplitude are presented for various known pulsars. The specific case of gravitational radiation…

Astrophysics · Physics 2007-05-23 E. Gourgoulhon , S. Bonazzola

A formalism is introduced which may describe both standard linearized waves and gravitational waves in Isaacson's high-frequency limit. After emphasizing main differences between the two approximation techniques we generalize the Isaacson…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Jiri Podolsky , Otakar Svitek

We demonstrate that evolutions of three-dimensional, strongly non-linear gravitational waves can be followed in numerical relativity, hence allowing many interesting studies of both fundamental and observational consequences. We study the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Miguel Alcubierre , Gabrielle Allen , Bernd Bruegmann , Gerd Lanfermann , Edward Seidel , Wai-Mo Suen , Malcolm Tobias

Compact object binaries formed from dynamics interactions will generically have non-zero orbital eccentricity. The gravitational waves from such binaries can change drastically depending on how large the eccentricity is, ranging from…

General Relativity and Quantum Cosmology · Physics 2021-08-31 Nicholas Loutrel

In this paper we discuss some general aspects of the gravitational wave background arising from post-inflationary short-lasting cosmological events such as phase transitions. We concentrate on the physics which determines the shape and the…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-18 Chiara Caprini , Ruth Durrer , Thomas Konstandin , Geraldine Servant

We derive a relativistic field equation for the trace of the metric perturbation beyond the weak field approximation to the Einstein field equations. The dynamics is governed by a massive Klein-Gordon equation on curved space-time, where…

General Physics · Physics 2025-05-02 Victor Atanasov , Avadh Saxena