arXiv:2505.18192v1 Announce Type: new
Abstract: Gravitational waves offer a key insight into the viability of classes of gravitational theories beyond general relativity. The observational constraints on their speed of propagation can provide strong constraints on generalized classes of broader gravitational frameworks. In this work, we reconsider the general class of Gauss-Bonnet theories in the context of teleparallel gravity, where the background geometry is expressed through torsion. We perform tensor perturbations on a flat FLRW background, and derive the gravitational wave propagation equation. We find that gravitational waves propagate at the speed of light in these classes of theories. We also derive the distance-duality relationship for radiation propagating in the gravitational wave and electromagnetic domains.
Conclusions:
The study of gravitational waves has provided valuable insights into alternative gravitational theories beyond general relativity. Specifically, the speed of propagation of gravitational waves can constrain and inform broader frameworks of gravitational theories.
In this work, the class of Gauss-Bonnet theories in the context of teleparallel gravity was reconsidered. It was found that gravitational waves within these theories propagate at the speed of light. Additionally, the distance-duality relationship for radiation in the gravitational wave and electromagnetic domains was derived.
Future Roadmap:
Potential Challenges:
- Verifying the speed of gravitational wave propagation in other gravitational theories
- Exploring the implications of the distance-duality relationship for observational astronomy
- Testing the predictions of Gauss-Bonnet theories in teleparallel gravity through experimental or observational data
Opportunities on the Horizon:
- Developing a deeper understanding of alternative gravitational theories
- Advancing our knowledge of the fundamental properties of gravitational waves
- Applying insights from gravitational wave studies to improve our understanding of the Universe’s structure and evolution