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We analyze the effect of weak field gravitational waves on the timing of pulsars, with particular attention to gauge invariance, that is, to the effects that are independent of the choice of coordinates. We find: (i) the Doppler shift…

Astrophysics · Physics 2014-11-18 Teviet Creighton , Fredrick A. Jenet , Richard H. Price

We apply the theory of high-order harmonic generation by low-frequency laser fields in the strong field approximation to the study of the spatial and temporal coherence properties of the harmonics. We discuss the role of dynamically induced…

Quantum Physics · Physics 2007-05-23 Pascal Salières , Anne L'Huillier , Philippe Antoine , Maciej Lewenstein

Analysis of pulsar timing data-sets may provide the first direct detection of gravitational waves. This paper, the third in a series describing the mathematical framework implemented into the tempo2 pulsar timing package, reports on using…

Solar and Stellar Astrophysics · Physics 2009-11-13 G. Hobbs , F. Jenet , K. J. Lee , J. P. W. Verbiest , D. Yardley , R. Manchester , A. Lommen , W. Coles , R. Edwards , C. Shettigara

Predictions for observables involving the cosmological 21-cm background require calculations of spatial correlations of star formation rate densities (SFRDs) which have a nonlinear dependence on the baryon-dark matter relative velocity.…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-18 Ryan Yuran Zhang , Marc Kamionkowski

Radio pulsar polarization exhibits a number of complex phenomena that are classified into the realm of `beyond the rotating vector model' (RVM). It is shown that these effects can be understood in geometrical terms, as a result of coherent…

High Energy Astrophysical Phenomena · Physics 2019-06-26 J. Dyks

Pulsar timing arrays can detect continuous nanohertz gravitational waves emitted by individual supermassive black hole binaries. The data analysis procedure can be formulated within a time-domain, state-space framework, in which the radio…

The primary goal of the pulsar timing array projects is to detect ultra-low-frequency gravitational waves. The pulsar data sets are affected by numerous noise processes including varying dispersive delays in the interstellar medium and from…

Instrumentation and Methods for Astrophysics · Physics 2017-10-11 Ze-xi Niu , George Hobbs , Jing-bo Wang , Shi Dai

Highly precise pulsar timing is very important for understanding the nature of a neutron star, and it can even be used to detect gravitational waves. Unfortunately, the accuracy of the pulsar timing is seriously affected by the spin-down…

High Energy Astrophysical Phenomena · Physics 2018-11-14 Zhaojun Wang , Guoliang Lü , Chunhua Zhu , Lin Li , Anzhong Wang

Detecting a stochastic gravitational wave background, particularly radiation from individually unresolvable super-massive black hole binary systems, is one of the primary targets for Pulsar Timing Arrays. Increasingly more stringent upper…

High Energy Astrophysical Phenomena · Physics 2015-06-16 Chiara M. F. Mingarelli , Trevor Sidery , Ilya Mandel , Alberto Vecchio

Cosmological perturbation theory is a powerful tool to predict the statistics of large-scale structure in the weakly non-linear regime, but even at 1-loop order it results in computationally expensive mode-coupling integrals. Here we…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-17 Xiao Fang , Jonathan A. Blazek , Joseph E. McEwen , Christopher M. Hirata

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

Geometric optics approximation is sufficient to describe the effects in the near-Earth environment. In this framework Faraday rotation is purely a reference frame (gauge) effect. However, it cannot be simply dismissed. Establishing local…

General Relativity and Quantum Cosmology · Physics 2023-01-27 Pravin Kumar Dahal , Daniel R. Terno

The motion of a local source inducing small oscillations in the gravitational field is investigated and shown to exhibit pure rotational kinetic energy. Should the net affect of these slow, revolving oscillations cause large-scale rotations…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Walter J. Christensen

We have constructed timing solutions for 81 gamma-ray pulsars covering more than five years of Fermi data. The sample includes 37 radio-quiet or radio-faint pulsars which cannot be timed with other telescopes. These timing solutions and the…

High Energy Astrophysical Phenomena · Physics 2015-12-02 Matthew Kerr , Paul Ray , Simon Johnston , Ryan Shannon , Fernando Camilo

We present an analysis of the two-point peculiar velocity correlation function using data from the CosmicFlows catalogues. The Millennium and MultiDark Planck 2 N-body simulations are used to estimate cosmic variance and uncertainties due…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-24 Yuyu Wang , Christopher Rooney , Hume A. Feldman , Richard Watkins

Electromagnetic temporal boundaries, emerging when the constitutive parameters of a medium undergo abrupt temporal variations, have garnered significant interest for their role in facilitating unconventional wave phenomena and enabling…

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

Warped time-frequency systems have recently been introduced as a class of structured continuous frames for functions on the real line. Herein, we generalize this framework to the setting of functions of arbitrary dimensionality. After…

Functional Analysis · Mathematics 2024-04-25 Nicki Holighaus , Felix Voigtlaender

The main purpose of the paper is to study sharp estimates of approximation of periodic functions in the H\"older spaces $H_p^{r,\alpha}$ for all $0<p\le\infty$ and $0<\alpha\le r$. By using modifications of the classical moduli of…

Classical Analysis and ODEs · Mathematics 2015-07-28 Yurii Kolomoitsev , Jürgen Prestin

Gravitational lensing in wave optics is a rich field combining caustic singularities, general relativity and interference phenomena. We present a detailed evaluation of wave optics effects resulting from the frame-dragging of a rotating…

General Relativity and Quantum Cosmology · Physics 2024-10-08 Béatrice Bonga , Job Feldbrugge , Ariadna Ribes Metidieri
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