# Multi-band gravitational wave tests of general relativity

## TL;DR

Multi-band gravitational wave observations from ground and space significantly enhance tests of general relativity, enabling more precise parameter estimation and probing phenomena like parity-violation in strong gravity regimes.

## Contribution

This paper demonstrates the improved resolving power of multi-band gravitational wave observations for testing general relativity compared to single-band detections.

## Key findings

- Enhanced parameterized tests of GR with multi-band data
- Improved consistency checks across waveform phases
- Potential to detect parity-violation in gravity

## Abstract

The violent collisions of black holes provide for excellent test-beds of Einstein's general relativity in the strong/dynamical gravity regime. We here demonstrate the resolving power one can gain upon the use of multi-band observations of gravitational waves from both ground- and space-based detectors. We find significant improvement in both generic parameterized tests of general relativity and consistency tests of inspiral-merger-ringdown parts of the waveform over single-band detections. Such multi-band observations are crucial for unprecedented probes of e.g. parity-violation in gravity.