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In this paper, we discuss the gravitational waves in the context of gauge theory gravity with a negative cosmological constant. The gauge theory gravity is a gravity theory under gauge formulation in the language of geometric algebra. In…

General Relativity and Quantum Cosmology · Physics 2022-09-12 Jianfei Xu

In this paper, we consider the possible effect of the teleparallel gravity on the production of the primordial black holes (PBH) and on the gravitational waves (GWs). We investigate the relationship between the slow roll, the e-folds number…

General Relativity and Quantum Cosmology · Physics 2022-10-14 K. El Bourakadi , B. Asfour , Z. Sakhi , Z. M. Bennai , Taoufik Ouali

We consider the effects of the quantum stress tensor fluctuations of a conformal field in generating gravity waves in inflationary models. We find a non-scale invariant, non-Gaussian contribution which depends upon the total expansion…

General Relativity and Quantum Cosmology · Physics 2011-12-08 Chun-Hsien Wu , Jen-Tsung Hsiang , L. H. Ford , Kin-Wang Ng

The examination of parity symmetry in gravitational interactions has drawn increasing attention. Although Einstein's General Relativity is parity-conserved, numerous theories of parity-violating (PV) gravity in different frameworks have…

General Relativity and Quantum Cosmology · Physics 2023-02-15 Jin Qiao , Zhao Li , Tao Zhu , Ran Ji , Guoliang Li , Wen Zhao

We numerically integrate the Einstein's equations for a spatially flat Friedmann-Lemaire-Robertson-Walker (FLRW) background spacetime with a spatial curvature perturbation and evolving primordial tensor perturbations using the Einstein…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-29 Ke Wang

Relying upon the equivalence between a gauge theory for the translation group and general relativity, a teleparallel version of the original Kaluza-Klein theory is developed. In this model, only the internal space (fiber) turns out to be…

General Relativity and Quantum Cosmology · Physics 2009-10-31 V. C. de Andrade , L. C. T. Guillen , J. G. Pereira

This paper is the third in a series of theorems which state how cosmological observations can provide evidence for an early phase of acceleration in the universe. Previous theorems demonstrated that the observed power spectrum for scalar…

Cosmology and Nongalactic Astrophysics · Physics 2015-08-19 Ghazal Geshnizjani , William H. Kinney

We review the current status of the Lorentz covariance in teleparallel and modified teleparallel theories of gravity, and discuss the controversial features of the different approaches. We also revisit the issue of the remnant Lorentz gauge…

General Relativity and Quantum Cosmology · Physics 2019-07-05 Cecilia Bejarano , Rafael Ferraro , Franco Fiorini , María José Guzmán

We consider generalized teleparallel gravity in the flat FRW universe with a viable power-law f(T) model. We construct its equation of state and deceleration parameters which give accelerated expansion of the universe in quintessence era…

General Physics · Physics 2015-06-18 M. Sharif , Shamaila Rani

General relativity and its cosmological solution predicts the existence of tensor modes of perturbations evolving on top of our Friedman-Lema\^itre-Robertson-Walker expanding Universe. Being gauge invariant and not necessarily coupled to…

General Relativity and Quantum Cosmology · Physics 2023-01-20 Amaury Micheli , Patrick Peter

Gravitational waves offer a potent mean to test the underlying theory of gravity. In general theories of gravity, such as scalar-tensor theories, one expects modifications in the friction term and the sound speed in the gravitational wave…

General Relativity and Quantum Cosmology · Physics 2024-10-17 Yi-Fu Cai , Guillem Domènech , Alexander Ganz , Jie Jiang , Chunshan Lin , Bo Wang

Second-order tensor modes induced by nonlinear gravity are a key component of the cosmological background of gravitational waves. A detection of this background would allow us to probe the primordial power spectrum at otherwise inaccessible…

General Relativity and Quantum Cosmology · Physics 2022-10-05 Atsuhisa Ota , Hayley J. Macpherson , William R. Coulton

Four-dimensional asymptotically flat spacetimes have been central to recent developments in infrared physics. Gravitational waves reaching the asymptotic boundary reveal an infinite-dimensional symmetry group known as the…

General Relativity and Quantum Cosmology · Physics 2025-12-19 Florian Girelli , Jianhui Qiu , Céline Zwikel

A specific choice of gauge is shown to imply a decoupling between the tensor and scalar components of Gravitational Radiation in the context of Brans-Dicke type theories of gravitation. The comparison of the predictions of these theories…

General Relativity and Quantum Cosmology · Physics 2007-08-14 Y. Wiaux

Inspired by the teleparallel formulation of General Relativity, whose Lagrangian is the torsion invariant T, we have constructed the teleparallel equivalent of Gauss-Bonnet gravity in arbitrary dimensions. Without imposing the Weitzenbock…

General Relativity and Quantum Cosmology · Physics 2014-10-29 Georgios Kofinas , Emmanuel N. Saridakis

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

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

General Teleparallel theories assume that curvature is vanishing in which case gravity can be solely represented by torsion and/or nonmetricity. Using differential form language, we express the Riemannian Gauss-Bonnet invariant concisely in…

General Relativity and Quantum Cosmology · Physics 2023-11-13 Juan Manuel Armaleo , Sebastian Bahamonde , Georg Trenkler , Leonardo G. Trombetta

Primordial gravitational waves on small scales are not tightly constrained by current cosmological observations, which allows for the possibility of large amplitudes at small scales. We investigate second-order tensor induced gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-31 Fei-Yu Chen , Jing-Zhi Zhou , Di Wu , Zhi-Chao Li , Peng-Yu Wu

Extended Theories of Gravity can be considered a new paradigm to cure shortcomings of General Relativity at infrared and ultraviolet scales. They are an approach that, by preserving the undoubtedly positive results of Einstein's Theory, is…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Salvatore Capozziello , Mariafelicia De Laurentis