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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 ($O[(v/c)^4] \sim O[(Gm/rc^2)^2]$)…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Clifford M. Will , Alan G. Wiseman

It is investigated the gravitational waves phenomena in the geometric scalar theory of gravity (GSG), a class of theories such that gravity is described by a single scalar field. The associated physical metric describing the spacetime is…

General Relativity and Quantum Cosmology · Physics 2019-08-16 Júnior Diniz Toniato

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

We study a correspondence between gravitational shockwave geometry and its fluid description near a Rindler horizon in Minkowski spacetime. Utilizing the Petrov classification that describes algebraic symmetries for Lorentzian spaces, we…

High Energy Physics - Theory · Physics 2024-07-29 Sang-Eon Bak , Cynthia Keeler , Yiwen Zhang , Kathryn M. Zurek

In the presence of an ultralight bosonic field, spinning black holes are unstable to superradiance. The rotational energy of the black hole is converted into a non-axisymmetric, oscillating boson cloud which dissipates through the emission…

General Relativity and Quantum Cosmology · Physics 2020-01-09 Nils Siemonsen , William E. East

Electromagnetic methods recently proposed for detecting gravitational waves modify the Michelson phase shift analysis (historically employed for special relativity). We suggest that a frequency modulation analysis is more suited to general…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Sivasubramanian , Y. N. Srivastava , A. Widom

The light-like limit of the Kerr gravitational field relative to a distant observer moving rectilinearly in an arbitrary direction is an impulsive plane gravitational wave with a singular point on its wave front. By colliding particles with…

General Relativity and Quantum Cosmology · Physics 2009-11-11 C. Barrabes , V. P. Frolov , P. A. Hogan

The low-energy dynamics of any system admitting a continuum of static configurations is approximated by slow motion in moduli (configuration) space. Here, following Ferrell and Eardley, this moduli space approximation is utilized to study…

General Relativity and Quantum Cosmology · Physics 2017-10-04 Joan Camps , Shahar Hadar , Nicholas S. Manton

The direct detection of gravitational waves by ground-based interferometers opened an unprecedented channel to probe alternative theories of gravitation. Several theories predict a dispersion of the gravitational waves during their…

General Relativity and Quantum Cosmology · Physics 2021-06-30 Leïla Haegel

These lectures aim at providing an introduction to the properties of gravitational waves and in particular to those gravitational waves that are expected as a consequence of perturbations of black holes and neutron stars. Imprinted in the…

General Relativity and Quantum Cosmology · Physics 2009-04-16 Luciano Rezzolla

Under the action of the Geroch group, the Minkowski metric can be transformed into any vacuum metric with two commuting Killing vectors. In principle, this reduces the problem of deriving vacuum metrics with two commuting Killing vectors to…

General Relativity and Quantum Cosmology · Physics 2021-08-25 Robert F. Penna

The detection of gravitational waves from the merger of binary black holes by the LIGO Collaboration has opened a new window to astrophysics. With the sensitivities of ground based detectors in the coming years we can only detect the local…

High Energy Astrophysical Phenomena · Physics 2017-06-28 Ilias Cholis

These notes address the planar gravitational wave solutions of general relativity in empty space-time, and analyze the motion of test particles in the gravitational wave field. Next we consider related solutions of the Einstein equations…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. W. van Holten

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…

General Relativity and Quantum Cosmology · Physics 2012-07-13 J. Bicak , J. Katz , T. Ledvinka , D. Lynden-Bell

This paper studies diagonal spacetime metrics. It is shown that the overdetermined Einstein vacuum equations are compatible if one Killing vector exists. The stability of plane gravitational waves of the Robinson type is studied. This…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Yaron Hadad , Vladimir Zakharov

We develop a new approach to gravitational waves in which the Einstein equations are governed by the cosmological constant which is related to the existence of a manifold which is closed. We study an example in which the matter Lagrangian…

General Relativity and Quantum Cosmology · Physics 2015-03-20 Luis Santiago Ridao , Mauricio Bellini

Cosmic bubbles are nucleated through the quantum tunneling process. After nucleation they would expand and undergo collisions with each other. In this paper, we focus in particular on collisions of two equal-sized bubbles and compute…

General Relativity and Quantum Cosmology · Physics 2015-03-25 Dong-Hoon Kim , Bum-Hoon Lee , Wonwoo Lee , Jongmann Yang , Dong-han Yeom

The emission of gravitational waves is studied for a system of massive objects interacting on hyperbolic orbits within the quadrupole approximation following the work of Capozziello et al. Here we focus on the derivation of an analytic…

General Relativity and Quantum Cosmology · Physics 2012-08-13 Lorenzo De Vittori , Philippe Jetzer , Antoine Klein

In this work, we examine the propagation of gravitational waves in cosmological and astrophysical spacetimes in the context of Einstein--Gauss-Bonnet gravity, in view of the GW170817 event. The perspective we approach the problem is to…

General Relativity and Quantum Cosmology · Physics 2024-01-30 Shin'ichi Nojiri , S. D. Odintsov , V. K. Oikonomou

According to the classical Einstein-Maxwell theory of gravity and electromagnetism, a light-wave traveling in empty space-time is accompanied by a gravitational field of the pp-type. Therefore point masses are scattered by a light wave,…

High Energy Physics - Phenomenology · Physics 2015-05-13 J. W. van Holten