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The number density of field galaxies per rotation velocity, referred to as the velocity function, is an intriguing statistical measure probing the smallest scales of structure formation. In this paper we point out that the velocity function…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-24 Aurel Schneider , Sebastian Trujillo-Gomez

We present a general theory for noise-induced corrections to the angular velocity of spiral waves. Stochasticity produces two second-order effects: an instantaneous term from heterogeneity that always slows rotation, and an orbital-drift…

Pattern Formation and Solitons · Physics 2025-12-09 Jolien Kamphuis , Desmond Kabus , Hermen Jan Hupkes , Tim De Coster

Pulsar timing array (PTA) collaborations have recently reported evidence of stochastic gravitational waves. Besides gravitational wave signals from cosmological or astrophysical origins, PTAs are also capable of detecting coherently…

General Relativity and Quantum Cosmology · Physics 2024-10-01 Qing-Hua Zhu

Several observational pieces of evidence indicate that specific evolutionary channels which involve Roche lobe overflow are not correctly accounted for by the classical Roche model. We generalize the concept of Roche lobe in the presence of…

Solar and Stellar Astrophysics · Physics 2015-05-13 T. Dermine , A. Jorissen , L. Siess , A. Frankowski

In the age of Kepler and Corot, extended observations have provided estimates of stellar pulsation frequencies that have achieved new levels of precision, regularly exceeding fractional levels of a few parts in $10^{4}$. These high levels…

Solar and Stellar Astrophysics · Physics 2015-06-22 G. R. Davies , R. Handberg , A. Miglio , T. L. Campante , W. J. Chaplin , Y. Elsworth

$f$-electron systems exhibit a subtle interplay between strong spin--orbit coupling and crystal-field effects, producing complex energy landscapes that are computationally demanding. We introduce auxiliary functions, constructed by…

Strongly Correlated Electrons · Physics 2026-01-27 Biaoyan Hu

Stars in the Galactic disk have mean radial velocities $\overline{v}_R$ that oscillate as a function of angular momentum $J_\varphi$. This `$J_\varphi$-${\overline{v}}_R$ wave' signal also exhibits a systematic phase shift when stars are…

Astrophysics of Galaxies · Physics 2026-02-09 Chris Hamilton , Andrew Mummery , Joss Bland-Hawthorn

The relationship between the harmonic mean and special relativity is concisely elucidated. The arguments in favor and against SRT are explored. It is shown that the ratio of the speed of light to the harmonic mean of the onward and return…

General Physics · Physics 2008-11-17 Chandru Iyer

We investigate the potential of the warped-extradimension framework as an explanation for the recently observed stochastic gravitational background at nHz frequencies in pulsar timing arrays (PTA). Our analysis reveals that the PTA data can…

High Energy Physics - Phenomenology · Physics 2023-08-07 Eugenio Megias , Germano Nardini , Mariano Quiros

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 propose a computer-efficient and accurate method of estimation of spatially correlated errors in astrometric positions, parallaxes and proper motions obtained by space and ground-based astrometry missions. In our method, the simulated…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 V. V. Makarov , B. N. Dorland , R. A. Gaume , G. S. Hennessy , C. T. Berghea , R. P. Dudik , H. R. Schmitt

The period and the period derivative of a pulsar are critical magnitudes for defining the properties of the magnetospheric size and plasma dynamics. The pulsar light cylinder, the magnetic field intensity nearby it, and the curvature radius…

High Energy Astrophysical Phenomena · Physics 2022-07-27 Daniel Íñiguez-Pascual , Diego F. Torres , Daniele Viganò

With the precision now afforded by modern space-based photometric observations from the retired K2 and current TESS missions, the effects of general relativity (GR) may be detectable in the light curves of pulsating white dwarfs (WDs).…

Solar and Stellar Astrophysics · Physics 2023-07-24 S Reece Boston , Charles R Evans , J Christopher Clemens

We search for stochastic gravitational wave background emitted from cosmic strings using the Parkes Pulsar Timing Array data over 15 years. While we find that the common power-law excess revealed by several pulsar timing array experiments…

High Energy Physics - Phenomenology · Physics 2022-11-23 Ligong Bian , Jing Shu , Bo Wang , Qiang Yuan , Junchao Zong

Pulsar timing arrays (PTAs) detect gravitational waves (GWs) via the correlations they create in the arrival times of pulses from different pulsars. The mean correlation, a function of the angle $\gamma$ between the directions to two…

General Relativity and Quantum Cosmology · Physics 2024-12-20 Bruce Allen , Joseph D. Romano

The measurement of the spin frequency in accreting millisecond X-ray pulsars (AMXPs) is strongly affected by the presence of an unmodeled component in the pulse arrival times called 'timing noise'. We show that it is possible to attribute…

High Energy Astrophysical Phenomena · Physics 2011-02-11 Alessandro Patruno , Rudy Wijnands , Michiel van der Klis

At nanohertz frequencies gravitational waves (GWs) cause variations in time-of-arrival of pulsar signals potentially measurable via precision timing observations. Here we compute very-low-frequency GW sensitivity constrained by…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Fredrick A. Jenet , J. W. Armstrong , Massimo Tinto

Several pulsar-timing array (PTA) collaborations are finding tantalising hints for a stochastic gravitational wave background signal in the nano-Hertz regime. So far, though, no convincing evidence for the expected Hellings-Downs…

General Relativity and Quantum Cosmology · Physics 2022-04-20 Gianmassimo Tasinato

Pulsars are famed for their rotational clock-like stability and their highly-repeatable pulse shapes. However, it has long been known that there are unexplained deviations (often termed "timing noise") from the rate at which we predict…

Astrophysics of Galaxies · Physics 2010-06-29 Andrew Lyne , George Hobbs , Michael Kramer , Ingrid Stairs , Ben Stappers

The dynamics of pseudo-classical spinning particles in spacetime of gravitational plane waves of general polarization and harmonic profile is studied. The resulting equations of motion are solved exactly and the results are compared with…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Morteza Mohseni