Routing protocol

Gravitational-wave observatory

Tests of general relativity

Physics

Gravitation

Waveform

Consistency (knowledge bases)

LIGO

Computer network

Mathematics

Black hole (networking)

Link-state routing protocol

Astronomy

Graviton

General relativity

Theory of relativity

Voltage

Gravitational wave

Geometry

Theoretical physics

Computer science

Astrophysics

Quantum mechanics

Routing (electronic design automation)

Binary black hole

Numerical relativity

Physical review. D/Physical review. D.

The detection of gravitational waves by Advanced LIGO and Advanced Virgo provides an opportunity to test general relativity in a regime that is inaccessible to traditional astronomical observations and laboratory tests. We present four tests of the consistency of the data with binary black hole gravitational waveforms predicted by general relativity. One test subtracts the best-fit waveform from the data and checks the consistency of the residual with detector noise. The second test checks the consistency of the low- and high-frequency parts of the observed signals. The third test checks that phenomenological deviations introduced in the waveform model (including in the post-Newtonian coefficients) are consistent with zero. The fourth test constrains modifications to the propagation of gravitational waves due to a modified dispersion relation, including that from a massive graviton. We present results both for individual events and also results obtained by combining together particularly strong events from the first and second observing runs of Advanced LIGO and Advanced Virgo, as collected in the catalog GWTC-1. We do not find any inconsistency of the data with the predictions of general relativity and improve our previously presented combined constraints by factors of 1.1 to 2.5. In particular, we bound the mass of the graviton to be $m_g \leq 4.7 \times 10^{-23} \text{eV}/c^2$ ($90\%$ credible level), an improvement of a factor of 1.6 over our previously presented results. Additionally, we check that the four gravitational-wave events published for the first time in GWTC-1 do not lead to stronger constraints on alternative polarizations than those published previously.

Tests of general relativity with the binary black hole signals from the LIGO-Virgo catalog GWTC-1