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We discuss an approach to gravitational waves based on Geometric Algebra and Gauge Theory Gravity. After a brief introduction to Geometric Algebra (GA), we consider Gauge Theory Gravity, which uses symmetries expressed within the GA of flat…

General Relativity and Quantum Cosmology · Physics 2019-12-13 Anthony N. Lasenby

Understanding the interplay between quantum mechanical systems and gravity is a crucial step towards unifying these two fundamental ideas. Recent theoretical developments have explored how global properties of spacetime would cause a…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Flynn Linton , Shubhanshu Tiwari

In general relativity, there is no dispersion in gravitational waves, while some modified gravity theories predict dispersion phenomena in the propagation of gravitational waves. In this paper, we demonstrate that this dispersion will…

General Relativity and Quantum Cosmology · Physics 2020-01-17 Shu-Cheng Yang , Wen-Biao Han , Shuo Xin , Chen Zhang

Guided by the Einstein equivalence principle that identifies the phenomenon of gravitation as a manifestation of the dynamics of spacetime in contrast to a localizable force, we review and explore its consequences on formulating a theory of…

General Relativity and Quantum Cosmology · Physics 2025-06-02 Jann Zosso

Gravitational memory, which describes the permanent shift in the strain after the passage of gravitational waves, is directly related to Weinberg's soft graviton theorems and the Bondi-Metzner-Sachs (BMS) symmetry group of asymptotically…

General Relativity and Quantum Cosmology · Physics 2025-04-01 Valerio De Luca , Justin Khoury , Sam S. C. Wong

Gravitational wave (GW) astronomy has revolutionized our capacity to explore nature. The next generation of observatories, among which the space-borne detector Laser Interferometer Space Antenna LISA, is expected to yield orders of…

General Relativity and Quantum Cosmology · Physics 2024-12-06 Henri Inchauspé , Silvia Gasparotto , Diego Blas , Lavinia Heisenberg , Jann Zosso , Shubhanshu Tiwari

We investigate the gravitational memory effect for linearized perturbations off of Minkowski space in odd spacetime dimensions $d$ by examining the effects of gravitational radiation from classical point particle scattering. We also…

General Relativity and Quantum Cosmology · Physics 2018-02-07 Gautam Satishchandran , Robert M. Wald

The modeling of gravitational wave ringdown has traditionally relied on linear perturbation theory, which mainly describes the late-time behavior of a perturbed black hole after a binary merger. However, the need for more accurate ringdown…

General Relativity and Quantum Cosmology · Physics 2026-04-03 Macarena Lagos

The direct detection of gravitational wave by Laser Interferometer Gravitational-Wave Observatory indicates the coming of the era of gravitational-wave astronomy and gravitational-wave cosmology. It is expected that more and more…

General Relativity and Quantum Cosmology · Physics 2017-12-27 Rong-Gen Cai , Zhoujian Cao , Zong-Kuan Guo , Shao-Jiang Wang , Tao Yang

Models of gravitational waveforms play a critical role in detecting and characterizing the gravitational waves (GWs) from compact binary coalescences. Waveforms from numerical relativity (NR), while highly accurate, are too computationally…

High Energy Astrophysical Phenomena · Physics 2018-01-03 Zoheyr Doctor , Ben Farr , Daniel E. Holz , Michael Pürrer

In nonlocal general relativity, linearized gravitational waves are damped as they propagate from the source to the receiver in the Minkowski vacuum. Nonlocal gravity is a generalization of Einstein's theory of gravitation in which…

General Relativity and Quantum Cosmology · Physics 2015-06-15 B. Mashhoon

In the plane wave spacetime, when gravitational waves pass by, an angular deviation exists between two free-falling gyroscopes, which naturally corresponds to the velocity memory effect. In the shackwave spacetime background, the angular…

General Relativity and Quantum Cosmology · Physics 2025-01-28 Yingxin Chen , Ke Wang , Chao-Jun Feng

We compute the non-linear memory contributions to the gravitational-wave amplitudes for compact binaries in eccentric orbits at the third post-Newtonian (3PN) order in general relativity. These contributions are hereditary in nature as they…

General Relativity and Quantum Cosmology · Physics 2019-10-22 Michael Ebersold , Yannick Boetzel , Guillaume Faye , Chandra K. Mishra , Bala R. Iyer , Philippe Jetzer

In addition to the dominant oscillatory gravitational wave signals produced during binary inspirals, a non-oscillatory component arises from the nonlinear "memory" effect, sourced by the emitted gravitational radiation. The memory grows…

General Relativity and Quantum Cosmology · Physics 2015-05-18 Denis Pollney , Christian Reisswig

With the improvement in sensitivity of gravitational wave (GW) detectors and the increasing diversity of GW sources, there is a strong need for accurate GW waveform models for data analysis. While the current model accuracy assessments…

General Relativity and Quantum Cosmology · Physics 2022-08-22 Qian Hu , John Veitch

The cosmological memory effect is a permanent change in the relative separation of test particles located in a FLRW spacetime due to the passage of gravitational waves. In the case of a spatially flat FLRW spacetime filled with a perfect…

General Relativity and Quantum Cosmology · Physics 2022-07-20 Mohammad Ali Gorji , Taisuke Matsuda , Shinji Mukohyama

We derive gravitational waves in a theory with non-local curvature corrections to the Hilbert-Einstein Lagrangian. In addition to the standard two massless tensor modes, with plus and cross polarizations, helicity 2 and angular frequency…

General Relativity and Quantum Cosmology · Physics 2021-09-01 Salvatore Capozziello , Maurizio Capriolo

We develop a general data-driven and template-free method for the extraction of event waveforms in the presence of background noise. Recent gravitational-wave observations provide one of the significant scientific areas requiring data…

Instrumentation and Methods for Astrophysics · Physics 2021-10-18 A. Akhshi , H. Alimohammadi , S. Baghram , S. Rahvar , M. R. Rahimi Tabar , H. Arfaei

We compute the gravitational waveform from a binary system in scalar-tensor gravity at 2PN relative order. We restrict our calculation to non-spinning binary systems on quasi-circular orbits and compute the spin-weighted spherical modes of…

General Relativity and Quantum Cosmology · Physics 2017-10-11 Noah Sennett , Sylvain Marsat , Alessandra Buonanno

A variety of gravitational-wave transient sources can be modeled in the Fourier domain using a power law. This simple power-law model provides a reasonable approximation for gravitational-wave bursts from cosmic string cusps, cosmic string…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Atul K. Divakarla , Eric Thrane , Paul D. Lasky , Bernard F. Whiting