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Main Authors: Baka, Tomasz, Cirok, Balázs, Haris, K., Noller, Johannes, Krishnendu, N. V.
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2511.00497
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author Baka, Tomasz
Cirok, Balázs
Haris, K.
Noller, Johannes
Krishnendu, N. V.
author_facet Baka, Tomasz
Cirok, Balázs
Haris, K.
Noller, Johannes
Krishnendu, N. V.
contents Searching for a modified dispersion relation is one of the general relativity tests performed by the LIGO-Virgo-KAGRA collaboration with each new cumulative Gravitational Wave Transient Catalog (GWTC). It considers classes of theories that modify the dispersion of gravitational waves by introducing a massive graviton or breaking Lorentz invariance. The symmetry breaking is parameterized phenomenologically by a momentum power law term $p^α$ added to the dispersion relation, with the test placing constraints on the amplitude $A_α$ of the introduced deviation. In this work, we implement improvements to the test, chief among them group velocity parametrization, a better sampling procedure, and extension to negative exponents $α$ of $p$. We then reanalyze the events from the third catalog, GWTC-3, with our improved method. Compared with GWTC-3 results, we find significant improvement, mostly from the improved sampling method, in the posteriors obtained by analyzing individual event and more modest improvements in the combined bounds on amplitude parameters $A_α$ -- on average, we observe 19% shrinking of posterior width. The 90% upper bound on the graviton mass changes from $2.42 \times 10^{-11}$ peV to $2.21 \times 10^{-11}$ peV. For the extension of our test to $α\in \{-1, -2, -3\}$, we find no evidence in favor of general relativity violation.
format Preprint
id arxiv_https___arxiv_org_abs_2511_00497
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Testing general relativity with gravitational waves -- improving and extending Modified Dispersion Relation tests
Baka, Tomasz
Cirok, Balázs
Haris, K.
Noller, Johannes
Krishnendu, N. V.
General Relativity and Quantum Cosmology
Searching for a modified dispersion relation is one of the general relativity tests performed by the LIGO-Virgo-KAGRA collaboration with each new cumulative Gravitational Wave Transient Catalog (GWTC). It considers classes of theories that modify the dispersion of gravitational waves by introducing a massive graviton or breaking Lorentz invariance. The symmetry breaking is parameterized phenomenologically by a momentum power law term $p^α$ added to the dispersion relation, with the test placing constraints on the amplitude $A_α$ of the introduced deviation. In this work, we implement improvements to the test, chief among them group velocity parametrization, a better sampling procedure, and extension to negative exponents $α$ of $p$. We then reanalyze the events from the third catalog, GWTC-3, with our improved method. Compared with GWTC-3 results, we find significant improvement, mostly from the improved sampling method, in the posteriors obtained by analyzing individual event and more modest improvements in the combined bounds on amplitude parameters $A_α$ -- on average, we observe 19% shrinking of posterior width. The 90% upper bound on the graviton mass changes from $2.42 \times 10^{-11}$ peV to $2.21 \times 10^{-11}$ peV. For the extension of our test to $α\in \{-1, -2, -3\}$, we find no evidence in favor of general relativity violation.
title Testing general relativity with gravitational waves -- improving and extending Modified Dispersion Relation tests
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2511.00497