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The standard model extension (SME) is an effective field theory framework that can be used to study the possible violations of Lorentz symmetry and diffeomorphism invariance in the gravitational interaction. In this paper, we explore both…

General Relativity and Quantum Cosmology · Physics 2025-07-18 Qiang Wang , Jian-Ming Yan , Tao Zhu , Wen Zhao

High-order spatial derivatives are of crucial importance for constructing the low energy effective action of a Lorentz or parity violating theory of quantum gravity. One example is the Ho\v{r}ava-Lifshitz gravity, in one has to consider at…

General Relativity and Quantum Cosmology · Physics 2022-03-02 Cheng Gong , Tao Zhu , Rui Niu , Qiang Wu , Jing-Lei Cui , Xin Zhang , Wen Zhao , Anzhong Wang

The LIGO gravitational wave (GW) detectors will begin collecting data in 2015, with Virgo following shortly after. The use of squeezing has been proposed as a way to reduce the quantum noise without increasing the laser power, and has been…

General Relativity and Quantum Cosmology · Physics 2015-02-24 Ryan Lynch , Salvatore Vitale , Lisa Barsotti , Matthew Evans , Sheila Dwyer

Increasing the sensitivity of a gravitational-wave (GW) detector improves our ability to measure the characteristics of detected sources. It also increases the number of weak signals that contribute to the data. Because GW detectors have…

General Relativity and Quantum Cosmology · Physics 2009-11-06 Tania Regimbau , Scott A. Hughes

Lorentz violation modifies the dispersion relation of gravitational waves (GWs), and induces birefringence and anisotropy in propagation. Our study shows that Lorentz violation can also activate multiple polarizations of GWs. We use the…

General Relativity and Quantum Cosmology · Physics 2022-12-20 Dicong Liang , Rui Xu , Xuchen Lu , Lijing Shao

Gravitational wave observations of compact binary mergers are already providing stringent tests of general relativity and constraints on modified gravity. Ground-based interferometric detectors will soon reach design sensitivity and they…

General Relativity and Quantum Cosmology · Physics 2021-09-07 Scott E. Perkins , Nicolás Yunes , Emanuele Berti

We study the effect of Spontaneous Lorentz Symmetry Breaking (SLSB) on Primordial Gravitational Waves (PGWs) generated during inflation. The SLSB is induced by a time-like Bumblebee vector field which is non-minimally coupled to the Ricci…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-23 Mohsen Khodadi , Gaetano Lambiase , Leonardo Mastrototaro , Tanmay Kumar Poddar

Recent gravitational wave observations have allowed stringent new constraints on modifications to General Relativity (GR) in the extreme gravity regime. Although these observations were consistent with compact binaries with no orbital…

General Relativity and Quantum Cosmology · Physics 2019-12-12 Sizheng Ma , Nicolas Yunes

This paper focuses on how the production and polarization of gravitational waves are affected by spontaneous Lorentz symmetry breaking, which is driven by a self-interacting vector field. Specifically, we examine the impact of a smooth…

General Relativity and Quantum Cosmology · Physics 2024-06-13 K. M. Amarilo , M. B. Ferreira Filho , A. A. Araújo Filho , J. A. A. S. Reis

A recent proposal describes space based gravitational wave (GW) detection with optical lattice atomic clocks [Kolkowitz et. al., Phys. Rev. D 94, 124043 (2016)] [1]. Based on their setup, we propose a new measurement method for…

General Relativity and Quantum Cosmology · Physics 2020-05-15 Feifan He , Baocheng Zhang

In this work, we review the effective field theory framework to search for Lorentz and CPT symmetry breaking during the propagation of gravitational waves. The article is written so as to bridge the gap between the theory of…

General Relativity and Quantum Cosmology · Physics 2021-10-26 Kellie O'Neal-Ault , Quentin G. Bailey , Tyann Dumerchat , Leila Haegel , Jay Tasson

Spaceborne gravitational-wave (GW) detectors observing at milli-Hz and deci-Hz frequencies are expected to detect large numbers of quasi-monochromatic signals. The first and second time-derivative of the GW frequency ($\dot f_0$ and $\ddot…

General Relativity and Quantum Cosmology · Physics 2023-04-12 R. Barbieri , S. Savastano , L. Speri , A. Antonelli , L. Sberna , O. Burke , J. R. Gair , N. Tamanini

Lorentz invariance is a cornerstone of modern physics, yet its possible violation remains both theoretically intriguing and experimentally significant. In this work, using quantum electrodynamics as an example, we explore how Lorentz…

High Energy Physics - Phenomenology · Physics 2026-01-21 Zurab Kepuladze

Using a deformed dispersion relation for gravitational waves, Advanced LIGO and Advanced Virgo have been able to place constraints on violations of local Lorentz invariance as well as the mass of the graviton. We summarise the method to…

General Relativity and Quantum Cosmology · Physics 2019-11-11 Anuradha Samajdar

Lorentz violations in gravitational waves are investigated. Plane-wave solutions for arbitrary gauge-invariant violations in linearized gravity are constructed. Signatures of Lorentz violation include dispersion, birefringence, and…

General Relativity and Quantum Cosmology · Physics 2019-06-05 Matthew Mewes

We study the propagation of cosmological gravitational wave (GW) backgrounds from the early radiation era until the present day in modified theories of gravity. Comparing to general relativity (GR), we study the effects that modified…

General Relativity and Quantum Cosmology · Physics 2023-06-21 Yutong He , Alberto Roper Pol , Axel Brandenburg

Gravitational wave (GW) observations probe both a diffuse, stochastic gravitational wave background (SGWB) as well as individual cataclysmic events such as the merger of two compact objects. The detection and description of the…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-28 Eleanor Gleave , Andrew Jaffe

Using the recent observation of gravitational waves (GW) produced by a black-hole merger, we place a lower bound on the energy above which a multifractal spacetime would display an anomalous geometry and, in particular, violations of…

General Relativity and Quantum Cosmology · Physics 2017-05-09 Gianluca Calcagni

The effects of local Lorentz violation on dispersion and birefringence of gravitational waves are investigated. The covariant dispersion relation for gravitational waves involving gauge-invariant Lorentz-violating operators of arbitrary…

General Relativity and Quantum Cosmology · Physics 2016-04-27 Alan Kostelecky , Matthew Mewes

Gravitational wave observations have been used to test Lorentz symmetry by looking for dispersive effects that are caused by higher order corrections to the dispersion relation. In this Letter I argue on general grounds that, when such…

General Relativity and Quantum Cosmology · Physics 2018-01-31 Thomas P. Sotiriou