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In this paper we obtain the Fourier Transform of a continuous gravitational wave. We have analysed the data set for (i) one year observation time and (ii) arbitrary observation time, for arbitrary location of detector and source taking into…

General Relativity and Quantum Cosmology · Physics 2007-05-23 D. C. Srivastava , S. K. Sahay

We present the Fourier Transform of continuous gravitational wave for arbitrary location of detector and source and for any duration of observation time in which both rotational motion of earth about its spin axis and orbital motion around…

General Relativity and Quantum Cosmology · Physics 2007-05-23 D. C. Srivastava , S. K. Sahay

We present analytical and numerical studies of the Fourier transform (FT) of the gravitational wave (GW) signal from a pulsar,taking into account the rotation of the Earth for a one day observation period.

This thesis is devoted to the investigations of gravitational wave (GW) data analysis from a continuous source e.g. a pulsar, a binary star system. The first Chapter is an introduction to gravitational wave and second Chapter is on the data…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. K. Sahay

The direct detection of continuous gravitational waves from pulsars is a much anticipated discovery in the emerging field of multi-messenger gravitational wave (GW) astronomy. Because putative pulsar signals are exceedingly weak large…

General Relativity and Quantum Cosmology · Physics 2021-08-04 S. R. Valluri , V. Dergachev , X. Zhang , F. A. Chishtie

We present analytical and numerical studies of the Fourier transform (FT) of the gravitational wave (GW) signal from a pulsar, taking into account the rotation and orbital motion of the Earth. We also briefly discuss the Zak-Gelfand…

This paper describes an incoherent method to search for continuous gravitational waves based on the Hough transform, a well known technique used for detecting patterns in digital images. We apply the Hough transform to detect patterns in…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Badri Krishnan , Alicia M. Sintes , M. A. Papa , Bernard F. Schutz , Sergio Frasca , Cristiano Palomba

We describe an improved version of the Hough transform search for continuous gravitational waves from isolated neutron stars assuming the input to be short segments of Fourier transformed data. The method presented here takes into account…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Alicia M. Sintes , Badri Krishnan

In this work, we present the analytic treatment of the Fourier Transform (FT) of the Gravitational Wave (GW) signal from a pulsar including spin down corrections in a parametrized model discussed by Brady et. al. The formalism lends itself…

Astrophysics · Physics 2007-05-23 S. R. Valluri , F. A. Chishtie , A. Vajda

We review current best estimates of the strength and detectability of the gravitational waves from a variety of sources, for both ground-based and space-based detectors, and we describe the information carried by the waves.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Curt Cutler , Kip S. Thorne

The main problem that we will face in the data analysis for continuous gravitational-wave sources is processing of a very long time series and a very large parameter space. We present a number of analytic and numerical tools that can be…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Andrzej Krolak

Considering plane gravitational waves propagating through flat spacetime, it is shown that curvatures experienced both in the starting point and during their arrival at the earth can cause a considerable shift in the frequencies as measured…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Claudio M. G. de Sousa

The first generation of gravitational wave interferometric detectors has taken data at, or close to, their design sensitivity. This data has been searched for a broad range of gravitational wave signatures. An overview of gravitational wave…

General Relativity and Quantum Cosmology · Physics 2011-01-28 Stephen Fairhurst , Gianluca M Guidi , Patrice Hello , John T Whelan , Graham Woan

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

We investigate the influence of a gravitational wave background on particles in circular motion. We are especially interested in waves leading to stationary orbits. This consideration is limited to circular orbits perpendicular to the…

General Relativity and Quantum Cosmology · Physics 2018-05-09 Manfried Faber , Martin Suda

Data from gravitational wave detectors are recorded as time series that include contributions from myriad noise sources in addition to any gravitational wave signals. When regularly sampled data are available, such as for ground based and…

General Relativity and Quantum Cosmology · Physics 2020-12-23 Neil J. Cornish

Electromagnetic methods recently proposed for detecting gravitational waves modify the Michelson phase shift analysis (historically employed for special relativity). We suggest that a frequency modulation analysis is more suited to general…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Sivasubramanian , Y. N. Srivastava , A. Widom

In this work we present analytic and numerical treatments of the gravitational wave signal from a pulsar which includes spindown. We consider phase corrections to a received monochromatic signal due to rotational and elliptical orbital…

Astrophysics · Physics 2009-11-11 S. R. Valluri , K. M. Rao , P. Wiegert , F. A. Chishtie

Continuous gravitational waves are long-lasting forms of gravitational radiation produced by persistent quadrupolar variations of matter. Standard expected sources for ground-based interferometric detectors are neutron stars presenting…

General Relativity and Quantum Cosmology · Physics 2021-12-08 Rodrigo Tenorio , David Keitel , Alicia M. Sintes

We have previously investigated the effect of the gravitational constant variation on the gravitational wave propagation. Pure theoretical analysis indicates that the leading order effect of the gravitational constant variation corrects the…

General Relativity and Quantum Cosmology · Physics 2025-09-01 Jiachen An , Bing Sun , Zhoujian Cao
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