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It has been suggested that single and double jets observed emanating from certain astrophysical objects may have a purely gravitational origin. We discuss new classes of pulsed gravitational wave solutions to the equation for perturbations…

广义相对论与量子宇宙学 · 物理学 2018-05-24 Robin W. Tucker , Timothy J. Walton

We study gravitational shock waves using scattering amplitude techniques. After first reviewing the derivation in General Relativity as an ultrarelativistic boost of a Schwarzschild solution, we provide an alternative derivation by…

高能物理 - 理论 · 物理学 2020-12-03 Andrea Cristofoli

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…

广义相对论与量子宇宙学 · 物理学 2023-01-20 Amaury Micheli , Patrick Peter

Utilizing various gauges of the radial coordinate, we give a General Relativistic (GR) description of static spherically symmetric spacetimes with a massive point source and vacuum outside this singularity. We show that in GR there exists a…

广义相对论与量子宇宙学 · 物理学 2019-11-13 Plamen P. Fiziev

A numerical-relativity calculation yields in general a solution of the Einstein equations including also a radiative part, which is in practice computed in a region of finite extent. Since gravitational radiation is properly defined only at…

广义相对论与量子宇宙学 · 物理学 2017-02-08 Nigel T. Bishop , Luciano Rezzolla

In classical General Relativity, the way to exhibit the equations for the gravitational waves is based on two "tricks" allowing to transform the Einstein equations after linearizing them over the Minkowski metric. With specific notations…

数学物理 · 物理学 2017-09-13 Jean-François Pommaret

A Hamiltonian linearization of the rest-frame instant form of tetrad gravity (gr-qc/0302084), where the Hamiltonian is the weak ADM energy ${\hat E}_{ADM}$, in a completely fixed (non harmonic) 3-orthogonal Hamiltonian gauge is defined. For…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Juri Agresti , Roberto De Pietri , Luca Lusanna , Luca Martucci

In this paper, the emission of gravitational waves in quadratic gravity theory is examined. The wave equations for massless and massive perturbations are derived, followed by the calculation of the energy and angular momentum radiated. In…

广义相对论与量子宇宙学 · 物理学 2025-04-23 Matheus F. S. Alves , R. R. Cuzinatto , C. A. M. de Melo , L. G. Medeiros , P. J. Pompeia

By making use of the weak gravitational field approximation, we obtain a linearized solution of the gravitational vacuum field equation in an anisotropic spacetime. The plane-wave solution and dispersion relation of gravitational wave is…

广义相对论与量子宇宙学 · 物理学 2012-04-03 Xin Li , Zhe Chang

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…

广义相对论与量子宇宙学 · 物理学 2018-09-11 Eyo Eyo Ita , Chopin Soo , Hoi-Lai Yu

We study the behavior of gravitational waves and their backreaction on the background in cosmological solutions of the five-dimensional Ho\v{r}ava-Witten theory. As a dynamical background, we consider two cosmological solutions with…

高能物理 - 理论 · 物理学 2009-10-31 Osamu Seto , Hideo Kodama

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…

广义相对论与量子宇宙学 · 物理学 2019-10-01 Aleš Paták , Martin Zouhar , Tomáš Řiháček , Oto Brzobohatý , Jan Geršl , Anna Charvátová Campbell

A gauge-invariant formulation for the gravitational wave equations is presented. Using this approach, weak, plane wave solutions in a vacuum are derived in various theories. These include general relativity with two modes of polarization…

广义相对论与量子宇宙学 · 物理学 2024-06-11 Junpei Harada

The constructive gravity programme applied to electrodynamics with vacuum birefringence yields the---up to unknown gravitational constants---unique compatible gravity theory for the underlying non-metric geometry. Starting from a…

广义相对论与量子宇宙学 · 物理学 2020-09-17 Nils Alex

We study gravitational theory in 1+2 spacetime dimensions which is determined by the Lagrangian constructed as a sum of the Einstein-Hilbert term plus the two (translational and rotational) gravitational Chern-Simons terms. When the…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Yuri N. Obukhov

We present a set of equations describing the evolution of the scalar-type cosmological perturbation in a gravity with general quadratic order curvature coupling terms. Equations are presented in a gauge ready form, thus are ready to…

广义相对论与量子宇宙学 · 物理学 2011-08-17 H. Noh , J. Hwang

We present the formalism for the covariant treatment of gravitational radiation in a magnetized environment and discuss the implications of the field for gravity waves in the cosmological context. Our geometrical approach brings to the fore…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Christos G. Tsagas

Using the Einstein gravitation theory we show how to obtain the basic equations which predict the gravitational waves. This paper was written to graduate and post-graduate students of Physics. We deduce the equations didactically following…

广义相对论与量子宇宙学 · 物理学 2010-01-15 M. Cattani

We consider generalised pp-waves with purely axial torsion, which we previously showed to be new vacuum solutions of quadratic metric-affine gravity. Our analysis shows that classical pp-waves of parallel Ricci curvature should not be…

广义相对论与量子宇宙学 · 物理学 2019-02-27 Elvis Barakovic , Vedad Pasic

We derive a relation between the two polarization modes of a plane, linear gravitational wave in the second-order approximation. Since these two polarizations are not independent, an initially monochromatic gravitational wave loses its…

广义相对论与量子宇宙学 · 物理学 2011-10-05 Nikodem J. Poplawski