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It has been argued that the energy content in time varying spacetimes can be obtained by using the approximate Lie symmetries of the geodesics equations in that spacetime. When applied to cylindrical gravitational waves, it gives a…

Astrophysics of Galaxies · Physics 2009-03-11 Asghar Qadir

A continuous stochastic background of gravitational waves (GWs) for burst sources is produced if the mean time interval between the occurrence of bursts is smaller than the average time duration of a single burst at the emission, i.e., the…

Astrophysics · Physics 2009-10-31 J. C. N. de Araujo , O. D. Miranda , O. D. Aguiar

Gravitational waves (GWs) originating from cosmological sources offer direct insights into the physics of the primordial Universe, the fundamental nature of gravity, and the cosmic expansion of the Universe. In this review paper, we present…

The cosmological background of gravitational waves can be tuned by Extended Theories of Gravity. In particular, it can be shown that assuming a generic function f(R) of the Ricci scalar R gives a parametric approach to control the evolution…

General Relativity and Quantum Cosmology · Physics 2008-12-02 S. Capozziello , M. De Laurentis , M. Francaviglia

Gravitational waves from cosmic strings are generated in the first fractions of a second after the Big Bang, potentially providing a unprecedented probe of the early universe. We discuss the key dynamical processes underlying calculations…

Astrophysics · Physics 2007-05-23 R. A. Battye , R. R. Caldwell , E. P. S. Shellard

We calculate the ``seeing'' effect on distant sources due to a gravitational wave background. We derive the limit in strain and energy density of the gravitational wave based on the limit of detectability of this effect with the present day…

Astrophysics · Physics 2007-05-23 Francine Marleau , Glenn Starkman

The cosmological stochastic gravitational-wave background produced by the mildly non-linear evolution of density fluctuations is analyzed, in the frame of an Einstein-de Sitter model, by means of a fully relativistic perturbation expansion…

Astrophysics · Physics 2007-05-23 Sabino Matarrese , Silvia Mollerach

Gravitational-wave astronomy will soon become a new tool for observing the Universe. Detecting and interpreting gravitational waves will require deep theoretical insights into astronomical sources. The past three decades have seen…

General Relativity and Quantum Cosmology · Physics 2015-04-03 Alessandra Buonanno , B. S. Sathyaprakash

It is well known that energy fluxes will produce gravitational wave memory. The gravitational wave memory produced by background including cosmic microwave background (CMB), cosmic neutrino background (C$\nu$B), and gravitational wave…

General Relativity and Quantum Cosmology · Physics 2022-11-01 Zhoujian Cao , Xiaokai He , Zhi-Chao Zhao

Non radial oscillations of neutron stars are associated with the emission of gravitational waves. The characteristic frequencies of these oscillations can be computed using the theory of stellar perturbations, and they are shown to carry…

General Relativity and Quantum Cosmology · Physics 2011-05-10 Valeria Ferrari

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

In this paper we discuss some general aspects of the gravitational wave background arising from post-inflationary short-lasting cosmological events such as phase transitions. We concentrate on the physics which determines the shape and the…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-18 Chiara Caprini , Ruth Durrer , Thomas Konstandin , Geraldine Servant

Within the closed universe, we obtain the amplitude and frequency of gravitational waves in the terms of discrete wave numbers, wave propagation time, and cosmological constant using the deviation equation in the first-order perturbed…

General Relativity and Quantum Cosmology · Physics 2021-05-27 Jafar Khodagholizadeh , Amir H. Abbassi , Ali Vahedi , Komeil Babaei

The cosmological background of gravitational waves can be tuned by Extended Theories of Gravity. In particular, it can be shown that assuming a generic function $f(R)$ of the Ricci scalar $R$ gives a parametric approach to control the…

General Relativity and Quantum Cosmology · Physics 2009-02-19 M. De Laurentis , S. Capozziello , L. Izzo

We demonstrate that any scaling source in the radiation era produces a background of gravitational waves with an exact scale-invariant power spectrum. Cosmic defects, created after a phase transition in the early Universe, are such a…

Cosmology and Nongalactic Astrophysics · Physics 2013-03-14 Daniel G. Figueroa , Mark Hindmarsh , Jon Urrestilla

The energy spectrum of gravitational waves (GWs), which depicts the energy of GWs per unit volume of space per logarithmic frequency interval normalized to the critical density of the Universe, is a widely used way for quantifying the…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-15 Rong-Gen Cai , Xing-Yu Yang , Long Zhao

Binary Systems are the most studied sources of gravitational waves. The mechanisms of emission and the behavior of the orbital parameters are well known and can be written in analytic form in several cases. Besides, the strongest indication…

Cosmology and Nongalactic Astrophysics · Physics 2015-04-24 E. F. D. Evangelista , J. C. N. de Araujo

The power spectrum of a homogeneous and isotropic stochastic variable, characterized by a finite correlation length, does in general not vanish on scales larger than the correlation scale. If the variable is a divergence free vector field,…

Astrophysics · Physics 2008-11-26 Chiara Caprini , Ruth Durrer

Gravitational-wave experiments with interferometers and with resonant masses can search for stochastic backgrounds of gravitational waves of cosmological origin. We review both experimental and theoretical aspects of the search for these…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Michele Maggiore

Quantum fluctuations of the gravitational field in the early Universe, amplified by inflation, produce a primordial gravitational-wave background across a broad frequency band. We derive constraints on the spectrum of this gravitational…