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Pulsar timing array experiments search for phenomena that produce angular correlations in the arrival times of signals from millisecond pulsars. The primary goal is to detect an isotropic and stochastic gravitational wave background. We use…

Instrumentation and Methods for Astrophysics · Physics 2015-12-16 Caterina Tiburzi , George Hobbs , Matthew Kerr , William Coles , Shi Dai , Richard Manchester , Andrea Possenti , Ryan Shannon , Xiaopeng You

Gravitational waves (GWs) create correlations in the arrival times of pulses from different pulsars. The expected correlation $\mu(\gamma)$ as a function of the angle $\gamma$ between the directions to two pulsars was calculated by Hellings…

General Relativity and Quantum Cosmology · Physics 2023-02-27 Bruce Allen

We investigate the effects of gravitational lensing in the binary pulsar system J0737-3039. Current measurement of the orbital inclination allows the millisecond pulsar (A) to pass very close (at R_{min}=4000 km) in projection to the…

Astrophysics · Physics 2009-11-10 Dong Lai , Roman R. Rafikov

This article provides a method for quick computation of galaxy two-point correlation function(2pCF) from redshift surveys using python. One of the salient features of this approach is that it can be used for calculating galaxy clustering…

Cosmology and Nongalactic Astrophysics · Physics 2017-11-09 Yeluripati Rohin

The angular two-point correlation function is calculated for the first 300 square degrees of the FIRST radio survey. Results for various subsamples are also obtained. Double-lobed sources are shown to have a higher clustering amplitude than…

Astrophysics · Physics 2008-02-03 C. M. Cress , D. J. Helfand , R. H. Becker , R. L. White , M. D. Gregg

An improved formula for the timing of binary pulsars that accounts for the relativistic deflection of light in the gravitational field of the pulsar's companion is presented, and the measurability of this effect together with its variance…

Astrophysics · Physics 2015-06-24 Oleg Doroshenko , Sergei Kopeikin

We introduce a novel approach for detecting gravitational waves through their influence on the shape of resolved astronomical objects. This method, complementary to pulsar timing arrays and astrometric techniques, explores the…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-22 Giorgio Mentasti , Carlo R. Contaldi

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

Pulsar timing arrays (PTAs) are searching for nanohertz-frequency gravitational waves (GWs) through cross-correlation of pulse arrival times from a set of radio pulsars. PTAs have relied upon a frequency-shift formula of the pulse, where…

High Energy Astrophysical Phenomena · Physics 2024-07-03 Ryousuke Kubo , Kakeru Yamahira , Hideki Asada

Pulsar Timing Array (PTA) observations have recently gathered substantial evidence for the existence of a gravitational wave background in the nHz frequency band. Searching for anisotropies in this signal is key to determining its origin,…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-02 Paul Frederik Depta , Valerie Domcke , Gabriele Franciolini , Mauro Pieroni

We derive the contributions of spin-orbit and spin-spin coupling to the gravitational radiation from coalescing binary systems of spinning compact objects. We calculate spin effects in the symmetric, trace-free radiative multipoles that…

General Relativity and Quantum Cosmology · Physics 2010-01-06 Lawrence E. Kidder , Clifford M. Will , Alan G. Wiseman

Pulsar timing, i.e. the analysis of the arrival times of pulses from a pulsar, is a powerful tool in modern astrophysics. It allows us to measure the time delays of an electromagnetic signal caused by a number of physical processes as the…

Instrumentation and Methods for Astrophysics · Physics 2025-02-04 Konstantin A. Postnov , Nataliya K. Porayko , Maxim S. Pshirkov

Using the complete orthonormal basis sets of nonrelativistic and quasirelativistic orbitals introduced by the author in previous papers for particles with arbitrary spin the new analytical relations for the -component relativistic tensor…

Chemical Physics · Physics 2007-12-27 I. I. Guseinov

The autocorrelation function, A(t), measures the overlap (in Hilbert space) of a time-dependent quantum mechanical wave function, psi(x,t), with its initial value, psi(x,0). It finds extensive use in the theoretical analysis and…

Quantum Physics · Physics 2009-11-10 R. W. Robinett , L. C. Bassett

We provide an observation method for gravitational waves using a pulsar timing array to extend the observational frequency range up to the rotational frequency of pulsars. For this purpose, we perform an analysis of a perturbed…

General Relativity and Quantum Cosmology · Physics 2022-02-04 Chan Park

A 2-2-hole is an explicit realization of a horizonless object that can still very closely resemble a BH. An ordinary relativistic gas can serve as the matter source for the 2-2-hole solution of quadratic gravity, and this leads to a…

General Relativity and Quantum Cosmology · Physics 2020-12-29 Bob Holdom

We perform theoretical and numerical studies of the full relativistic two-point galaxy correlation function, considering the linear-order scalar and tensor perturbation contributions and the wide-angle effects. Using the gauge-invariant…

Cosmology and Nongalactic Astrophysics · Physics 2018-10-18 Fulvio Scaccabarozzi , Jaiyul Yoo , Sang Gyu Biern

We investigate the role of r-mode oscillations in pulsar spin-down and their implications for gravitational wave emission and pulsar timing analysis. Using a non-linear differential framework that includes r-mode contributions, we derive…

High Energy Astrophysical Phenomena · Physics 2025-09-15 Xiyuan Li , Shahram Abbassi , Varenya Upadhyaya , Xiyang Zhang , S. R. Valluri

For analyzing anisotropic low relative-velocity correlation-functions and the associated emission sources, we propose an expansion in terms of cartesian spherical harmonics. The expansion coefficients represent angular moments of the…

Nuclear Theory · Physics 2007-05-23 P. Danielewicz , S. Pratt

We introduce a unified formalism to describe both timing and astrometric perturbations induced on astrophysical point sources by gravitational waves using a complex spin field on the sphere. This allows the use of spin-weighted spherical…

General Relativity and Quantum Cosmology · Physics 2022-03-14 Sebastian Golat , Carlo R. Contaldi