# On gravitational radiation in Brans-Dicke gravity

## TL;DR

This paper explores gravitational radiation in Brans-Dicke gravity, highlighting differences from General Relativity, especially regarding naked singularities, stable orbits, and implications for gravitational wave observations.

## Contribution

It demonstrates that Brans-Dicke gravity allows stable orbits around naked singularities with unbounded frequencies, impacting gravitational wave signals in a way distinct from GR.

## Key findings

- Stable circular orbits exist at all radii in certain parameter regimes.
- Orbital frequencies can become unbounded as the radius decreases.
- Implications for gravitational wave signals from EMRI systems are significant.

## Abstract

Brans-Dicke gravity admits spherical solutions describing naked singularities rather than black holes. Depending on some parameters entering such a solution, stable circular orbits exist for all radius. One argues that, despite the fact that the naked singularity is an infinite redshift location, the far observed orbital motion frequency is unbounded for an adiabatically decreasing radius. This is a salient difference with General Relativity, and the incidence on the gravitational radiation by EMRI systems is stressed. Since this behaviour survives the infinite omega limit, the possibility of such solutions is of utmost interest in the new gravitational wave astronomy context, despite the current constraints on scalar-tensor gravity.