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In an extended, new form of general relativity, which is a teleparallel theory of gravity, we examine the energy-momentum and angular momentum carried by gravitational wave radiated from Newtonian point masses in a weak-field approximation.…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Eisaku Sakane , Toshiharu Kawai

We provide a pedagogical approach to gravitational waves in cosmology with focus on gravitational wave signals related to primordial black holes. These lectures notes contain more details than one is able to present in the two two-hour…

General Relativity and Quantum Cosmology · Physics 2023-07-17 Guillem Domènech

We investigate the propagation of the gravitational waves in a cosmological background. Based on the framework of spatially covariant gravity, we derive the general quadratic action for the gravitational waves. The spatial derivatives of…

General Relativity and Quantum Cosmology · Physics 2020-04-01 Xian Gao , Xun-Yang Hong

The detection of gravitational waves in 2015 ushered in a new era of gravitational wave astronomy capable of probing into the strong field dynamics of black holes and neutron stars. It has opened up an exciting new window for laboratory and…

High Energy Physics - Theory · Physics 2024-10-14 Jen-Tsung Hsiang , Hing-Tong Cho , Bei-Lok Hu

The direct detection of gravitational waves opens the possibility to test general relativity and its alternatives in the strong field regime. Here we focus on the test of the existence of extra dimensions. The classification of…

General Relativity and Quantum Cosmology · Physics 2024-02-26 Yu-Qiang Liu , Yu-Qi Dong , Yu-Xiao Liu

If a set of massive objects collide in space and the fragments disperse, possibly forming black holes, then this process will emit gravitational waves. Computing the detailed gravitational wave-form associated with this process is a…

High Energy Physics - Theory · Physics 2025-06-24 Ashoke Sen

Gravitational waves in cylindrically symmetric Einstein gravity are described by an effective energy tensor with the same form as that of a massless Klein- Gordon field, in terms of a gravitational potential generalizing the Newtonian…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Sean A. Hayward

It is shown that the equations of gravitational waves and cosmological acceleration follow from the tensor of inertial forces. The possibility of the existence of three types of gravitational waves: transverse, potential and vortex waves…

General Physics · Physics 2022-02-10 Yurii A. Spirichev

Gravitational waves provide a unique window into gravity, cosmology, and high-energy physics, enabling the exploration of fundamental phenomena across a wide range of scales. This review presents a coherent and pedagogical framework that…

General Relativity and Quantum Cosmology · Physics 2025-12-25 Azadeh Maleknejad

We present new results for pulsating stars in general relativity. First we show that the so-called gravitational-wave modes of a neutron star can be excited when a gravitational wave impinges on the star. Numerical simulations suggest that…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Nils Andersson , Kostas D. Kokkotas

In General Relativity, the propagation of electromagnetic waves is usually described by the vacuum Maxwell's equations on a fixed curved background. In the limit of infinitely high frequencies, electromagnetic waves can be localized as…

General Relativity and Quantum Cosmology · Physics 2019-04-23 Marius A. Oancea , Claudio F. Paganini , Jérémie Joudioux , Lars Andersson

Expression for second post-Newtonian level gravitational deflection angle of massive particles is obtained in a model independent framework. Several of its important implications including the possibility of testing gravitational theories…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. Bhadra , K. Sarkar , K. K. Nandi

We derive exact expressions, in the form of Fourier integrals over the (k,w) domain, for the energy, momentum, and angular momentum of a light pulse propagating in free space. The angular momentum is seen to split naturally into two parts.…

Optics · Physics 2012-05-29 Masud Mansuripur

The two independent ``plus" and ``cross" polarization waveforms associated with the gravitational waves emitted by inspiralling, non-spinning, compact binaries are presented, ready for use in the data analysis of signals received by future…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Luc Blanchet , Bala R. Iyer , Clifford M. Will , Alan G. Wiseman

For steady-state and some other types of mechanical waves of an arbitrary form, intensity and nature, propagating in a free uniform waveguide, we present the following. Relations for the axial momentum as it directly follows from the…

General Physics · Physics 2016-05-17 Leonid I. Slepyan

We study the resonant interaction of charged particles with a gravitational wave propagating in the non-empty interstellar space in the presence of a uniform magnetic field. It is found that this interaction can be cast in the form of a…

General Relativity and Quantum Cosmology · Physics 2009-10-31 K. Kleidis , H. Varvoglis , D. B. Papadopoulos

The present work investigates some exact solutions of the gravitational wave equation in some widely used cosmological spacetimes. The examples are taken from spatially flat and closed isotropic models as well as Kasner metric which is…

General Relativity and Quantum Cosmology · Physics 2021-07-06 Sushovan Mondal , Saif Ali , Shanima S , Narayan Banerjee , Golam Mortuza Hossain

The propagation of gravitational waves on the background of a nonperturbative vacuum of a spinor field is considered. It is shown that there are several distinctive features in comparison with the propagation of plane gravitational waves…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Vladimir Dzhunushaliev , Vladimir Folomeev

We describe the properties of evanescent gravitational waves (EGWs)---wave solutions of Einstein equations which decay exponentially in some direction while propagating in another. Evanescent waves are well-known in acoustics and optics and…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-30 Sebastian Golat , Eugene A. Lim , Francisco J. Rodríguez-Fortuño

The paper gives an introduction to the gravitational radiation theory of isolated sources and to the propagation properties of light rays in radiative gravitational fields. It presents a theoretical study of the generation, propagation,…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Luc Blanchet , Sergei Kopeikin , Gerhard Schäfer
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