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Gravitational waves emitted by high redshift sources propagate through various epochs of the Universe including the current era of measurable, accelerated expansion. Historically, the calculation of gravitational wave power on cosmological…

General Relativity and Quantum Cosmology · Physics 2017-10-11 Béatrice Bonga , Jeffrey S. Hazboun

We compute the spectrum of primordial gravitational wave perturbations in open de Sitter spacetime. The background spacetime is taken to be the continuation of an O(5) symmetric instanton saddle point of the Euclidean no boundary path…

High Energy Physics - Theory · Physics 2009-10-31 S. W. Hawking , Thomas Hertog , Neil Turok

Perturbation of gravitational fields may be decomposed into scalar,vector and tensor components.In this paper we concern with the evolution of tensor mode perturbations in a spatially closed deSitter background of RW form. It may be thought…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Amir H. Abbassi , J. Khodagholizadeh , Amir M. Abbassi

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

Linearized gravitational waves in de Sitter space-time are analyzed in detail to obtain guidance for constructing the theory of gravitational radiation in presence of a positive cosmological constant in full, nonlinear general relativity.…

General Relativity and Quantum Cosmology · Physics 2015-09-02 Abhay Ashtekar , Béatrice Bonga , Aruna Kesavan

We study gravitational radiation produced by time changing matter source in de Sitter spacetime. We consider a cosmological Killing horizon instead of the conformal boundary used in the radiation theory in the Minkowski spacetime. The…

General Relativity and Quantum Cosmology · Physics 2022-09-07 Denis Dobkowski-Ryłko , Jerzy Lewandowski

One of the longstanding problems of modern gravitational physics is the detection of gravitational waves, for which the standard theoretical analysis relies upon the split of the space-time metric into a background metric plus perturbation.…

General Relativity and Quantum Cosmology · Physics 2010-04-19 Roberto Valentino Montaquila

The construction of exact linearized solutions to the Einstein equations within the Bondi-Sachs formalism is extended to the case of linearization about de Sitter spacetime. The gravitational wave field measured by distant observers is…

General Relativity and Quantum Cosmology · Physics 2016-03-03 Nigel T. Bishop

We study the production of primordial gravitational waves in the context of extended teleparallel gravity models and compare them with those of general relativity. Teleparallel gravity has been widely studied in the context of the late…

General Relativity and Quantum Cosmology · Physics 2023-08-29 Geovanny A. Rave-Franco , Celia Escamilla-Rivera , Jackson Levi Said

For there is always a wrong sign in the mass of graviton in the so-called perturbation expansion approximation of both Minkowski and de Sitter spacetimes, the existence of gravitational wave from the metric perturbation of de Sitter…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Liao Liu

Gravitational waves are investigated in Intrinsic Time Geometrodynamics. This theory has a non-vanishing physical Hamiltonian generating intrinsic time development in our expanding universe, and four-covariance is explicitly broken by…

General Relativity and Quantum Cosmology · Physics 2018-09-11 Eyo Eyo Ita , Chopin Soo , Hoi-Lai Yu

We consider the most general three point function for gravitational waves produced during a period of exactly de Sitter expansion. The de Sitter isometries constrain the possible shapes to only three: two preserving parity and one violating…

High Energy Physics - Theory · Physics 2011-09-13 Juan M. Maldacena , Guilherme L. Pimentel

Gravitational waves are considered as metric perturbations about a curved background metric, rather than the flat Minkowski metric since several situations of physical interest can be discussed by this generalization. In this case, when the…

General Relativity and Quantum Cosmology · Physics 2008-12-21 Donato Bini , Salvatore Capozziello , Giampiero Esposito

The classical Isaacson's procedure for describing back-reaction of the averaged energy-momentum for high frequency gravitational waves is generalized to the $f(R)$ gravity case. From the beginning it is assumed that an initial background…

General Relativity and Quantum Cosmology · Physics 2025-10-23 Petr V. Tretyakov , Alexander N. Petrov

Motivated by the desire to understand the causal structure of physical signals produced in curved spacetimes -- particularly around black holes -- we show how, for certain classes of geometries, one might obtain its retarded or advanced…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Yi-Zen Chu

A variety of mechanisms in the early Universe lead to the generation of gravitational waves (GWs). We introduce here a novel source of GWs generated by vacuum fluctuations after inflation. Given that gravitons are minimally coupled…

General Relativity and Quantum Cosmology · Physics 2026-04-09 Alina Mierna , Gabriele Perna , Sabino Matarrese , Nicola Bartolo , Angelo Ricciardone

A de-Sitter gauge theory of the gravitational field is developed using a spherical symmetric Minkowski space-time as base manifold. The gravitational field is described by gauge potentials and the mathematical structure of the underlying…

General Relativity and Quantum Cosmology · Physics 2009-11-10 G. Zet , C. D. Oprisan , S. Babeti

We discuss the gravitational wave background generated by primordial density perturbations evolving during the radiation era. At second-order in a perturbative expansion, density fluctuations produce gravitational waves. We calculate the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kishore N. Ananda , Chris Clarkson , David Wands

We consider the gravitational radiation in conformal gravity theory. We perturb the metric from flat Mikowski space and obtain the wave equation after introducing the appropriate transformation for perturbation. We derive the effective…

General Relativity and Quantum Cosmology · Physics 2018-08-28 Rong-Jia Yang

Gravitational waves affect the observed direction of light from distant sources. At telescopes, this change in direction appears as periodic variations in the apparent positions of these sources on the sky; that is, as proper motion. A wave…

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