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We give a rigorous and mathematically clear presentation of the Covariant and Gauge Invariant theory of gravitational waves in a perturbed Friedmann-Lemaitre-Robertson-Walker universe for Fourth Order Gravity, where the matter is described…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kishore N. Ananda , S. Carloni , P. K. S. Dunsby

We compute classical gravitational bremsstrahlung from the gravitational scattering of two massless particles at leading order in the (center of mass) deflection angle $\theta\sim 4 G \sqrt{s}/b = 8 G E/b \ll 1$. The calculation, although…

General Relativity and Quantum Cosmology · Physics 2016-04-18 Andrei Gruzinov , Gabriele Veneziano

Gravitational radiation is an elusive form of radiation predicted by general relativity, it is the subject of intense theoretical and experimental research at the limit of the sensitivity of today's instrumentation. In spite of the fact…

Space Physics · Physics 2009-11-07 Giorgio Fontana

We investigate the gravitational radiation emitted by an isolated system for gravity theories with Lagrange density $f(R) = R + aR^2$. As a formal result we obtain leading order corrections to the quadrupole formula in General Relativity.…

General Relativity and Quantum Cosmology · Physics 2011-08-08 Joachim Näf , Philippe Jetzer

We present a general relativistic framework for studying gravitational effects in quantum mechanical phenomena. We concentrate our attention on the case of ultra-relativistic, spin-1/2 particles propagating in Kerr spacetime. The…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Kohkichi Konno , Masumi Kasai

General relativity (GR) has been extensively tested in the solar system and in binary pulsars, but never in the strong-field, dynamical regime. Soon, gravitational-wave (GW) detectors like Advanced LIGO and eLISA will be able to probe this…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Ryan N. Lang

In a recent paper we have deduced the basic equations that predict the emission of gravitational waves (GW) according to the Einstein gravitation theory. In a subsequent paper these equations have been used to calculate the luminosities and…

General Relativity and Quantum Cosmology · Physics 2010-04-15 M. Cattani

1+3 covariant approach to cosmological perturbation theory often employs the electric part ($E_{ab}$), the magnetic part ($H_{ab}$) of the Weyl tensor or the shear tensor ($\sigma_{ab}$) in a phenomenological description of gravitational…

General Relativity and Quantum Cosmology · Physics 2017-10-31 Bob Osano

Gravitational radiation with roughly spherical wavefronts, produced by roughly spherical black holes or other astrophysical objects, is described by an approximation scheme. The first quasi-spherical approximation, describing radiation…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Sean A. Hayward

We begin with the time-dependent electric and magnetic dipole solution of Maxwell's equations in Minkowski space. This Maxwell field is then used to determine the behavior of the gravitational field (the Weyl tensor) as a second-order…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Tim Adamo , Ezra T Newman

We study the interaction between gravitational waves and a quantum two-level system consisting of a spin 1/2 particle using the formalism of the proper detector frame. This approach highlights the effects of gravitational waves on both the…

General Relativity and Quantum Cosmology · Physics 2025-02-28 Matteo Luca Ruggiero

Gravitational waves perturb the paths of photons, impacting both the time-of-flight and the arrival direction of light from stars. Pulsar timing arrays can detect gravitational waves by measuring the variations in the time of flight of…

General Relativity and Quantum Cosmology · Physics 2018-07-18 Logan O'Beirne , Neil J. Cornish

We explicitly derive a~vortex inspired solution for the metric perturbation within the linearized Einsteins general theory of relativity in arbitrary dimensions $D\geq 4$. We focus on $D=4$ where our solution is the gravitational analog of…

General Relativity and Quantum Cosmology · Physics 2019-10-01 Aleš Paták , Martin Zouhar , Tomáš Řiháček , Oto Brzobohatý , Jan Geršl , Anna Charvátová Campbell

Spin-2, spin-1 and spin-0 modes in linearised teleparallelism are obtained where the totally skew-symmetric complex contortion tensor generates scalar torsion waves and the symmetric contortion in the last two indices generates…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. C. Garcia de Andrade

Scalar polarization modes of gravitational waves, which are often introduced in the context of the viable extension of gravity, have been actively searched. However, couplings of the scalar modes to the matter are strongly constrained by…

General Relativity and Quantum Cosmology · Physics 2023-07-19 Hiroki Takeda , Yusuke Manita , Hidetoshi Omiya , Takahiro Tanaka

We find exact nonlinear solutions of general relativity that represent twisted gravitational waves (TGWs) in the presence of a cosmological constant. A TGW is a nonplanar wave propagating along a fixed spatial direction with a null Killing…

General Relativity and Quantum Cosmology · Physics 2019-10-23 Hassan Firouzjahi , Bahram Mashhoon

We study gravitational waves with torsion as exact vacuum solutions of three-dimensional gravity with propagating torsion. The new solutions are a natural generalization of the plane-fronted gravitational waves in general relativity with a…

General Relativity and Quantum Cosmology · Physics 2014-09-16 M. Blagojević , B. Cvetković

The gravitational wave equations form a parametric resonance system during oscillatory reheating after inflation, when cast in terms of the electric and magnetic parts of the Weyl tensor. This is in direct analogy with preheating. For…

High Energy Physics - Phenomenology · Physics 2009-10-30 Bruce A. Bassett

We consider in this work continuous gravitational wave (GW) emission from non-axisymmetric radio pulsars. We treat in some detail the observational issues related to the known radio pulsar sample with the aim of unveiling the actual number…

Astrophysics · Physics 2009-10-30 J. A. de Freitas Pacheco , J. E. Horvath

We present analytic integral solutions for the second-order induced gravitational waves (GWs). After presenting all the possible second-order source terms, we calculate explicitly the solutions for the GWs induced by the linear scalar and…

General Relativity and Quantum Cosmology · Physics 2021-12-14 Jinn-Ouk Gong
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