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Related papers: Frequency shift up to the 2-PM approximation

200 papers

A parametrized multipolar gravitational wave phasing within multipolar post-Minkowskian and post-Newtonian formalism was developed in earlier works [S. Kastha et al., PRD 98, 124033 (2018) and PRD 100, 044007 (2019)]. This facilitates the…

General Relativity and Quantum Cosmology · Physics 2024-10-14 Parthapratim Mahapatra , Shilpa Kastha

An analytical solution for the light trajectory in the near-zone of the gravitational field of one pointlike body in arbitrary slow-motion in the post-post-Newtonian approximation is presented in harmonic gauge. Expressions for total light…

General Relativity and Quantum Cosmology · Physics 2017-09-19 Sven Zschocke

As a photon propagates along a null geodesic, the space-time curvature around the geodesic distorts its wave function. We utilise the Fermi coordinates adapted to a general null geodesic, and derive the equation for interaction between the…

General Relativity and Quantum Cosmology · Physics 2022-04-12 Qasem Exirifard , Ebrahim Karimi

The post-Newtonian approximation is a method for solving Einstein's field equations for physical systems in which motions are slow compared to the speed of light and where gravitational fields are weak. Yet it has proven to be remarkably…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Clifford M. Will

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

We compute the energy spectra of the gravitational signals emitted when a pointlike mass moves on a closed orbit around a non rotating neutron star, inducing a perturbation of its gravitational field and its internal structure. The Einstein…

General Relativity and Quantum Cosmology · Physics 2009-11-07 L. Gualtieri , E. Berti , J. A. Pons , G. Miniutti , V. Ferrari

We propose a new method of searching for the composition-dependent dilatonic waves, predicted by unified theories of strings. In this method, Earth's surface-gravity changes due to translational motions of its inner core, excited by…

General Relativity and Quantum Cosmology · Physics 2010-04-15 Sachie Shiomi

We study propagation of high-frequency electromagnetic waves in a curved spacetime. We demonstrate how a modification of the standard geometric optics allows one to include the helicity dependent corrections into the equations of motion of…

General Relativity and Quantum Cosmology · Physics 2020-10-14 Valeri P. Frolov

Wave propagation through sunspots involves conversion between waves of acoustic and magnetic character. In addition, the thermal structure of sunspots is very different than that of the quiet Sun. As a consequence, the interpretation of…

Solar and Stellar Astrophysics · Physics 2016-10-05 T. Felipe , D. C. Braun , A. D. Crouch , A. C. Birch

The passage of time is tracked by counting oscillations of a frequency reference, such as Earth's revolutions or swings of a pendulum. By referencing atomic transitions, frequency (and thus time) can be measured more precisely than any…

We propose a high precision satellite experiment to further test Einstein's General Relativity and constrain extended theories of gravity. We consider the frequency shift of a photon radially exchanged between two observers located on Earth…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Luca Buoninfante , Gaetano Lambiase , Antonio Stabile

The accuracy of time-domain solutions of the inhomogeneous Teukolsky equation is improved significantly. Comparing energy fluxes in gravitational waves with highly accurate frequency-domain results for circular equatorial orbits in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Lior M. Burko , Gaurav Khanna

We revisit the old problem of the self-force on a particle moving in a weak-field spacetime in the context of renewed interest in two-body gravitational scattering. We analytically calculate the scalar, electromagnetic, and gravitational…

General Relativity and Quantum Cosmology · Physics 2024-06-06 Samuel E. Gralla , Kunal Lobo

Motivation is given for trying a theory of gravity with a preferred reference frame (``ether'' for short). One such theory is summarized, that is a scalar bimetric theory. Dynamics is governed by an extension of Newton's second law. In the…

General Relativity and Quantum Cosmology · Physics 2007-11-19 Mayeul Arminjon

Glitches represent a category of non-Gaussian and transient noise that frequently intersects with gravitational wave (GW) signals, exerting a notable impact on the processing of GW data. The inference of GW parameters, crucial for GW…

General Relativity and Quantum Cosmology · Physics 2024-03-15 Tian-Yang Sun , Chun-Yu Xiong , Shang-Jie Jin , Yu-Xin Wang , Jing-Fei Zhang , Xin Zhang

Strict measurement of the speed of gravitational wave (GW) is very important for fundamental physics. In this paper, taking cosmological effect into account, we derive a more precise formula for calculating the speed of GW based on GW…

High Energy Astrophysical Phenomena · Physics 2019-07-17 Shuang Du

General relativity predicts that two counter-orbiting clocks around a spinning mass differ in the time required to complete the same orbit. The difference in these two values for the orbital period is generally referred to as the…

General Relativity and Quantum Cosmology · Physics 2024-03-26 Kaye Jiale Li , Kinwah Wu , Ziri Younsi , Joana Teixeira , Dinesh Singh

Einstein's theory of general relativity states that clocks at different gravitational potentials tick at different rates - an effect known as the gravitational redshift. As fundamental probes of space and time, atomic clocks have long…

This article provides the details on the technical derivation of the gravitational waveform and total gravitational-wave energy flux of non-spinning compact binary systems to the 4PN (fourth post-Newtonian) order beyond the Einstein…

General Relativity and Quantum Cosmology · Physics 2023-10-03 Luc Blanchet , Guillaume Faye , Quentin Henry , François Larrouturou , David Trestini

The article provides ready-to-use 1pN-accurate frequency-domain gravitational wave forms for eccentric nonspinning compact binaries of arbitrary mass ratio including the first post-Newtonian (1pN) point particle corrections to the far-zone…

General Relativity and Quantum Cosmology · Physics 2011-02-28 Manuel Tessmer , Gerhard Schaefer