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We study gravitational waves to first and second order in amplitude in vacuum asymptotically flat spacetimes. The Einstein equations are solved to first order and these solutions are superposed to form a time-symmetric ingoing and then…

广义相对论与量子宇宙学 · 物理学 2012-07-13 J. Bicak , J. Katz , T. Ledvinka , D. Lynden-Bell

The motion of rockets is part of the study devoted to the motion of variable mass systems. Notably those in which the mass leaves permanently the considered system. Rockets are propelled forward by the reaction force produced by the hot…

经典物理 · 物理学 2024-06-04 Adel Alameh

By using virial theorem, Helmholtz and Kelvin showed that the contraction of a bound self-gravitating system must be accompanied by release of radiation energy irrespective of the details of the contraction process. This happens because the…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Abhas Mitra

Due to Lorentz invariance of General Relativity gravitational interaction is limited to the speed of light. Thus for particles, moving within a matter field, retardation leads to loss of energy by emission of gravitational radiation. This…

天体物理学 · 物理学 2008-05-14 Ernst Fischer

In this paper, we discuss the leading order correction to the equation of motion of the particle, which presumably describes the effect of gravitational radiation reaction. We derive the equation of motion in two different ways. The first…

广义相对论与量子宇宙学 · 物理学 2009-10-09 Yasushi Mino , Misao Sasaki , Takahiro Tanaka

The mere principle of relativity and Lorentz transformations for the mass current predict, in close analogy to electromagnetism, the existence of gravitomagnetic fields. With the reasonable assumption of the non existence of a…

综合物理 · 物理学 2013-09-05 P. Christillin , L. Barattini

Gravitational waves, as predicted by Einstein's general relativity theory, appear as ripples in the fabric of spacetime traveling at the speed of light. We prove that the propagation of small amplitude gravitational waves in a curved…

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

The nonaxisymmetric Ekman flow excited inside a neutron star following a rotational glitch is calculated analytically including stratification and compressibility. For the largest glitches, the gravitational wave strain produced by the…

广义相对论与量子宇宙学 · 物理学 2010-04-15 C. A. van Eysden , A. Melatos

Particles in a yet unexplored dark sector with sufficiently large mass and small gauge coupling may form purely gravitational atoms (quantum gravitational bound states) with a rich phenomenology. In particular, we investigate the…

高能物理 - 唯象学 · 物理学 2019-06-26 Niklas G. Nielsen , Andrea Palessandro , Martin S. Sloth

We show that in complete agreement with classical mechanics, the dynamics of any quantum mechanical wave packet in a linear gravitational potential involves the gravitational and the inertial mass only as their ratio. In contrast, the…

量子物理 · 物理学 2011-06-28 E. Kajari , N. L. Harshman , E. M. Rasel , S. Stenholm , G. Süßmann , W. P. Schleich

The energy-loss formula of the production of gravitons by the binary is derived in the source theory formulation of gravity. Then, the quantum energy-loss formula involving radiative corrections is derived. We postulate an idea that…

高能物理 - 唯象学 · 物理学 2007-05-23 Miroslav Pardy

Einstein's General Theory of Relativity predicts that accelerating mass distributions produce gravitational radiation, analogous to electromagnetic radiation from accelerating charges. These gravitational waves have not been directly…

量子物理 · 物理学 2024-11-13 Roman Schnabel , Nergis Mavalvala , David E. McClelland , Ping Koy Lam

We study the gravitational wave (GW) production induced by the asymmetric jets of gamma-ray bursts (GRBs). The asymmetric jets result in a recoil force acted on the central compact object, whose motion leads to emission of GW. Under…

高能天体物理现象 · 物理学 2018-07-25 Shuang Du , Xiao-Dong Li , Yi-Ming Hu , Fang-Kun Peng , Miao Li

The emission of gravitational waves from a system of massive objects interacting on elliptical, hyperbolic and parabolic orbits is studied in the quadrupole approximation. Analytical expressions are then derived for the gravitational wave…

广义相对论与量子宇宙学 · 物理学 2009-06-29 M. De Laurentis , S. Capozziello

A gravitational wave must be nonlinear to be able to transport its own source, that is, energy and momentum. A physical gravitational wave, therefore, cannot be represented by a solution to a linear wave equation. Relying on this property,…

广义相对论与量子宇宙学 · 物理学 2010-03-02 R. Aldrovandi , J. G. Pereira , Roldao da Rocha , K. H. Vu

We derive the gravitational waveform and gravitational-wave energy flux generated by a binary star system of compact objects (neutron stars or black holes), accurate through second post-Newtonian order ($O[(v/c)^4] \sim O[(Gm/rc^2)^2]$)…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Clifford M. Will , Alan G. Wiseman

Gyratonic pp-waves are exact solutions of Einstein's equations that represent non-linear gravitational waves endowed with angular momentum. We consider gyratonic pp-waves that travel in the $z$ direction and whose time dependence on the…

广义相对论与量子宇宙学 · 物理学 2018-05-03 J. W. Maluf , J. F. da Rocha-Neto , S. C. Ulhoa , F. L. Carneiro

We present a pedagogical introduction to some key computations in gravitational waves via a side-by-side comparison with the quadrupole contribution of electromagnetic radiation. Subtleties involving gauge choices and projections over…

广义相对论与量子宇宙学 · 物理学 2022-01-31 Glauber C. Dorsch , Lucas E. A. Porto

Gravitational waves in the linear approximation propagate in the Schwarzschild spacetime similarly as electromagnetic waves. A fraction of the radiation scatters off the curvature of the geometry. The energy of the backscattered part of an…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Edward Malec , Gerhard Schaefer