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Gravitational wave astronomy has tremendous potential for studying extreme astrophysical phenomena and exploring fundamental physics. The waves produced by binary black hole mergers will provide a pristine environment in which to study…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Neil Cornish , Laura Sampson , Nico Yunes , Frans Pretorius

The time delay experienced by a light ray as it passes through a changing gravitational potential by a non-zero mass distribution along the line of sight is usually referred to as Shapiro delay. Shapiro delay has been extensively measured…

Astrophysics of Galaxies · Physics 2016-04-28 Shantanu Desai , Emre O. Kahya

The second-generation interferometric gravitational wave detectors currently under construction are expected to make their first detections within this decade. This will firmly establish gravitational wave physics as an empirical science…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Chris Van Den Broeck

Precision timing of highly stable milli-second pulsars is a promising technique for the detection of very low frequency sources of gravitational waves. In any single pulsar, a stochastic gravitational wave signal appears as an additional…

General Relativity and Quantum Cosmology · Physics 2016-06-01 Neil J. Cornish , Laura M. Sampson

In the centenary year of Einstein's General Theory of Relativity, this paper reviews the current status of gravitational wave astronomy across a spectrum which stretches from attohertz to kilohertz frequencies. Sect. 1 of this paper reviews…

After a short review of prominent properties of gravitational waves and the newly born gravitational astronomy, we focus on theoretical aspects. Analytic approximation methods in general relativity have played a crucial role in the recent…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Luc Blanchet

Although the spatial curvature has been measured with very high precision, it still suffers from the well known cosmic curvature tension. In this paper, we propose an improved method to determine the cosmic curvature, by using the simulated…

Cosmology and Nongalactic Astrophysics · Physics 2022-08-03 Yuan He , Yu Pan , Dongping Shi , Jin Li , Shuo Cao , Wei Cheng

The problem of determining the post-Newtonian parameter $\gamma$ in massive scalar-tensor theories is considered. We demonstrate equivalent correspondence between the post-Newtonian parameter $\gamma$ and the parameter appearing in the…

General Relativity and Quantum Cosmology · Physics 2022-02-03 P. I. Dyadina , S. P. Labazova

We study the pulsar timing, focusing on the time delay induced by the gravitational field of the binary systems. In particular, we study the gravito-magnetic correction to the Shapiro time delay in terms of Keplerian and post-Keplerian…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Matteo Luca Ruggiero , Angelo Tartaglia

The equations for gravitational plane waves produced by a typical binary system as a solution of linear approximation of Einstein equations is derived. The dynamics of the corresponding gravitational field is analyzed in a 4-dimensional…

General Relativity and Quantum Cosmology · Physics 2016-11-23 S. Nayeh , A. Latifi , S. Arbabi , M. Ghominejad

The properties of gravitational-wave (GW) propagation are modified in alternative theories of gravity and are crucial observables to test gravity at cosmological distance. The propagation speed has already been measured from GW170817 so…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Atsushi Nishizawa , Shun Arai

We discuss the deflection of light and Shapiro delay under the influence of gravity as described by Schwarzschild metric. We obtain an exact expression based on the coordinate velocity, as first set forth by Einstein, and present a…

General Relativity and Quantum Cosmology · Physics 2012-10-23 Sina Ataollah Khorasani

In the next decade or two, extremely accurate tests of general relativity under extreme conditions are expected from gravitational wave observations of binary black hole mergers with a wide range of mass ratios. In addition, major…

General Relativity and Quantum Cosmology · Physics 2011-06-14 Neil Ashby , Peter L. Bender

Probing extra polarizations in gravitational waves (GWs) with space-based detectors is the most direct method for testing theories of gravity. In this paper, by employing the second-generation time-delay interferometry (TDI) to cancel out…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Tong Jiang , Chunyu Zhang

Certain alternative theories of gravity predict that gravitational waves will disperse as they travel from the source to the observer. The recent binary black hole observations by Advanced-LIGO have set limits on a modified dispersion…

General Relativity and Quantum Cosmology · Physics 2017-12-05 Anuradha Samajdar , K. G. Arun

With the advanced gravitational wave detectors coming on line in the next 5 years, we expect to make the first detections of gravitational waves from astrophysical sources, and study the properties of the waves themselves as tests of…

General Relativity and Quantum Cosmology · Physics 2019-08-15 Alan J. Weinstein

Using a relatively simple method, I compute the v/c correction to the gravitational time delay for light passing by a massive object moving with speed v. It turns out that the v/c effects are too small to have been measured in the recent…

Astrophysics · Physics 2014-10-13 Stuart Samuel

We study the effect of retardation of gravity in binary pulsars. It appears in pulsar timing formula as a periodic excess time delay to the Shapiro effect. The retardation of gravity effect can be large enough for observation in binary…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sergei M. Kopeikin

Despite its importance to our understanding of physics at supranuclear densities, the equation of state (EoS) of matter deep within neutron stars remains poorly understood. Millisecond pulsars (MSPs) are among the most useful astrophysical…

Gravitational wave (GW) observations are expected to serve as a powerful and independent probe of the expansion history of the universe. By providing direct and calibration-free measurements of luminosity distances through waveform…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-06 Shang-Jie Jin , Ji-Yu Song , Tian-Yang Sun , Si-Ren Xiao , He Wang , Ling-Feng Wang , Jing-Fei Zhang , Xin Zhang