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These notes provide a student-friendly introduction to the theory of gravitational waves in full, non-linear general relativity (GR). We aim for a balance between physical intuition and mathematical rigor and cover topics such as the…

General Relativity and Quantum Cosmology · Physics 2022-01-28 Fabio D'Ambrosio , Shaun D. B. Fell , Lavinia Heisenberg , David Maibach , Stefan Zentarra , Jann Zosso

Signal waves of the monotonously increasing frequency detected by LIGO are generally considered to be gravitational waves of spiral binary stars, thus confirming the general theory of relativity. Here we present a universal method for…

General Physics · Physics 2019-09-16 Rui Chen

Twisted gravitational waves (TGWs) are nonplanar waves with twisted rays that move along a fixed direction in space. We study further the physical characteristics of a recent class of Ricci-flat solutions of general relativity representing…

General Relativity and Quantum Cosmology · Physics 2021-01-19 Donato Bini , Carmen Chicone , Bahram Mashhoon , Kjell Rosquist

We hereby propose an alternative and additional angle on the nature of gravitational waves (GWs), postulating the theoretical and experimental possibility that GWs carry a deformation of the time component of spacetime, other than the…

General Relativity and Quantum Cosmology · Physics 2023-06-06 Stefano Bondani , Sergio Luigi Cacciatori

Gravity theories beyond general relativity (GR) can change the properties of gravitational waves: their polarizations, dispersion, speed, and, importantly, energy content are all heavily theory- dependent. All these corrections can…

General Relativity and Quantum Cosmology · Physics 2018-11-20 Maximiliano Isi , Leo C. Stein

We derive in this an expression for the rotation of plane of polarization, of an electromagnetic wave, induced by the field of a gravitational wave propagating along the same direction $\approx \f{G\mu d^2\Omega^4}{3\o}$, $\o$ and $\Omega$…

Astrophysics · Physics 2010-12-17 A. R. Prasanna , S. Mohanty

Modeling of gravitational waves (GWs) from binary black hole inspiral brings together early post-Newtonian waveforms and late quasinormal ringing waveforms. Attempts to bridge the two limits without recourse to numerical relativity involve…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Richard H Price , Gaurav Khanna

We perform tests of General Relativity (GR) with gravitational waves (GWs) from the inspiral stage of compact binaries using a theory-independent framework, which adds generic phase corrections to each multipole of a GR waveform model in…

General Relativity and Quantum Cosmology · Physics 2023-04-05 Ajit Kumar Mehta , Alessandra Buonanno , Roberto Cotesta , Abhirup Ghosh , Noah Sennett , Jan Steinhoff

We analyze the gravitational wave (GW) emission from our recently published set of relativistic neutron star (NS) merger simulations and determine characteristic signal features that allow one to link GW measurements to the properties of…

Astrophysics · Physics 2008-11-26 R. Oechslin , H. -T. Janka

Starting with the conceptual foundation of general relativity (GR) - equivalence principle, space-time geometry and special relativity, I train cross hairs on two characteristic predictions of GR - black holes and gravitational waves. These…

General Relativity and Quantum Cosmology · Physics 2015-09-23 Patrick Das Gupta

Neutron star-white dwarf (NS-WD) binaries evolve into either ultra-compact X-ray binaries undergoing stable mass transfer or direct mergers by unstable mass transfer. While much attention has been on gravitational wave (GW) emissions from…

High Energy Astrophysical Phenomena · Physics 2024-10-07 Shu-Qing Zhong , Yan-Zhi Meng , Jia-Hong Gu

Compact binaries inspiralling along eccentric orbits are plausible gravitational wave (GW) sources for the ground-based laser interferometers. We explore the losses in the event rates incurred when searching for GWs from compact binaries…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Tessmer , A. Gopakumar

We study gravitational waves (GWs) induced by non-Gaussian curvature perturbations. We calculate the density parameter per logarithmic frequency interval, $\Omega_\text{GW}(k)$, given that the power spectrum of the curvature perturbation…

Cosmology and Nongalactic Astrophysics · Physics 2019-05-29 Rong-gen Cai , Shi Pi , Misao Sasaki

Two mechanisms of gravitational waves (GWs) emission in fast-spinning white dwarfs (WDs) are investigated: accretion of matter and magnetic deformation. In both cases, the GW emission is generated by an asymmetry around the rotation axis of…

Solar and Stellar Astrophysics · Physics 2020-02-06 Manoel F. Sousa , Jaziel G. Coelho , José C. N. de Araujo

Massive black hole binaries (MBHBs) are unavoidable outcomes of the hierarchical structure formation process, and according to the theory of general relativity are expected to be the loudest gravitational wave (GW) sources in the Universe.…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 A. Sesana

In general relativity (GR), gravitational waves (GWs) propagate the well-known plus and cross polarization modes which are the signature of a massless spin-2 field. However, diffraction of GWs caused by intervening objects along the line of…

General Relativity and Quantum Cosmology · Physics 2022-01-12 Charles Dalang , Giulia Cusin , Macarena Lagos

We describe the dynamical behavior of newborn pulsars modeled as homogeneous rotating spheroids. The dynamical evolution is triggered by the escape of trapped neutrinos, provided the initial equilibrium configuration. It is shown that for a…

High Energy Astrophysical Phenomena · Physics 2014-07-17 Hilario Rodrigues , Ana Maria Endler , Sergio B. Duarte , Marcelo Chiapparini

With the strong evidence for a gravitational wave (GW) background in the nanohertz frequency band from pulsar timing arrays, the detection of continuous GWs from individual supermassive black hole binaries is already at the dawn. Utilizing…

General Relativity and Quantum Cosmology · Physics 2024-10-23 Dicong Liang , Siyuan Chen , Chao Zhang , Lijing Shao

The examination of parity symmetry in gravitational interactions has drawn increasing attention. Although Einstein's General Relativity is parity-conserved, numerous theories of parity-violating (PV) gravity in different frameworks have…

General Relativity and Quantum Cosmology · Physics 2023-02-15 Jin Qiao , Zhao Li , Tao Zhu , Ran Ji , Guoliang Li , Wen Zhao

Explaining gravitational-wave (GW) observations of binary neutron star (BNS) mergers requires an understanding of matter beyond nuclear saturation density. Our current knowledge of the properties of high-density matter relies on…

High Energy Astrophysical Phenomena · Physics 2024-03-15 Giuseppe Rivieccio , Davide Guerra , Milton Ruiz , José A. Font