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Pulsar timing array projects are carrying out high precision observations of millisecond pulsars with the aim of detecting ultra-low frequency (~ 10^{-9} to 10^{-8} Hz) gravitational waves. We show how unambiguous detections of such waves…

Solar and Stellar Astrophysics · Physics 2015-05-19 George Hobbs

Direct detection of gravitational waves by pulsar timing arrays will become feasible over the next few years. In the low frequency regime ($10^{-7}$ Hz -- $10^{-9}$ Hz), we expect that a superposition of gravitational waves from many…

Instrumentation and Methods for Astrophysics · Physics 2015-06-15 Justin Ellis , Xavier Siemens , Rutger van Haasteren

In this paper, we propose a new framework for treating the angular information in the pulsar timing array response to a gravitational wave background based on standard cosmic microwave background techniques. We calculate the angular power…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-17 Elinore Roebber , Gilbert Holder

The detection of a stochastic background of low-frequency gravitational waves by pulsar-timing and astrometric surveys will enable tests of gravitational theories beyond general relativity. These theories generally permit gravitational…

General Relativity and Quantum Cosmology · Physics 2021-01-26 Wenzer Qin , Kimberly K. Boddy , Marc Kamionkowski

We investigate truncation schemes to reduce the computational cost of calculating correlations by the generator coordinate method based on mean-field wave functions. As our test nuclei, we take examples for which accurate calculations are…

Nuclear Theory · Physics 2009-11-10 M. Bender , G. Bertsch , P. -H. Heenen

In the nanohertz band, the spatial correlations in pulsar timing arrays (PTAs) produced by interfering gravitational waves (GWs) from multiple sources likely deviate from the traditional ones without interference under the assumption of an…

General Relativity and Quantum Cosmology · Physics 2025-10-01 Yu-Mei Wu , Yan-Chen Bi , Qing-Guo Huang

We study the observation of stochastic gravitational-wave background (SGWB) made by pulsar-timing arrays in the spherical harmonic space. Instead of using the Shapiro time delay, we keep the Sachs-Wolfe line-of-sight integral for the timing…

General Relativity and Quantum Cosmology · Physics 2022-09-14 Guo-Chin Liu , Kin-Wang Ng

We study the observation of polarized stochastic gravitational-wave background (SGWB) in pulsar-timing-array experiments. The time residual for an observed pulsar is formulated as a line-of-sight integral that incorporates the effects of…

General Relativity and Quantum Cosmology · Physics 2021-12-15 Yu-Kuang Chu , Guo-Chin Liu , Kin-Wang Ng

Pulsar timing arrays (PTAs) detect gravitational waves (GWs) via the correlations they induce in the arrival times of pulses from different pulsars. We assume that the GWs are described by a Gaussian ensemble. The mean correlation $h^2…

General Relativity and Quantum Cosmology · Physics 2023-08-25 Bruce Allen , Joseph D. Romano

The angular two-point correlation function between background QSOs and foreground galaxies induced by gravitational lensing is derived. It is shown that the shape of this correlation function depends sensitively on the spectrum of the…

Astrophysics · Physics 2007-05-23 Matthias Bartelmann

We compute here the spin-orbit and spin-spin couplings needed for an accurate computation of the phasing of gravitational waves emitted by comparable-mass binaries on eccentric orbits at the second post-Newtonian (PN) order. We use a…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Antoine Klein , Philippe Jetzer

We compute the two-point correlation function for spin configurations which are obtained by solving the Euclidean matching problem, for one family of points on a grid, and the second family chosen uniformly at random, when the cost depends…

Disordered Systems and Neural Networks · Physics 2014-12-17 Elena Boniolo , Sergio Caracciolo , Andrea Sportiello

We compute the late-time correlation functions on three-dimensional de Sitter spacetime for a higher-spin gravity theory. For this, we elaborate on the formulation to obtain the wave functional of universe from a dual conformal field…

High Energy Physics - Theory · Physics 2023-02-22 Heng-Yu Chen , Shi Chen , Yasuaki Hikida

We revisit the decay of the orbital period in binary systems that occurs due to the emission of gravitational waves in the context of modified gravity models where the coupling $G_{gw}$ between matter and on-shell gravitons is allowed to…

General Relativity and Quantum Cosmology · Physics 2022-11-22 Diego Santos de Jesus , Hermano Velten , Federico Piazza

We study statistical properties of stochastic variations in pulse arrival times, timing noise, in radio pulsars using a new analysis method applied in the time domain. The method proceeds in two steps. First, we subtract low-frequency…

High Energy Astrophysical Phenomena · Physics 2015-06-11 Steve Price , Bennett Link , Steve Shore , David Nice

A passing gravitational wave causes a deflection in the apparent astrometric positions of distant stars. The effect of the speed of the gravitational wave on this astrometric shift is discussed. A stochastic background of gravitational…

General Relativity and Quantum Cosmology · Physics 2020-01-29 Deyan P. Mihaylov , Christopher J. Moore , Jonathan Gair , Anthony Lasenby , Gerard Gilmore

The positive evidence of a nano-hertz gravitational wave background recently found by several pulsar timing array (PTA) collaborations opened up a window to test modified gravity theories in a unique frequency band in parallel to other…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-21 Qiuyue Liang , Ippei Obata , Misao Sasaki

Localized astronomical sources like a double stellar system, rotating neutron star, or a massive black hole at the center of the Milky Way emit periodic gravitational waves. For a long time only a far-zone contribution of gravitational…

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

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

We propose the gravitational analog of the chiroptical effect for the first time, demonstrating that gravitational waves (GWs) can induce a reversal of photon chirality through the exchange of angular momentum, namely the spin-2-gravitation…

General Relativity and Quantum Cosmology · Physics 2026-01-13 Haorong Wu , Xilong Fan