# Hairy Waves: Gravitational Waves in the presence of Screening Mechanism

## TL;DR

This paper analyzes how screening mechanisms in modified gravity models affect gravitational wave emissions from binary black hole systems, showing that screening can decrease GW frequency compared to general relativity.

## Contribution

It derives the impact of scalar fields in screened modified gravity on GW power, binding energy, and frequency in binary black hole systems, highlighting effects near the screening transition region.

## Key findings

- GW frequency decreases due to screening effects
- Scalar field influences GW power and energy
- Screening alters GW emission characteristics in binary systems

## Abstract

We consider a binary system in the context of screened modified gravity models and investigate its emitted gravitational wave which has been shown that is a hairy wave. We derive power of the gravitational wave and the binding energy of the binary system and then trace back the effect of the additional scalar field, present at screening models, in the frequency of GW emitted from the binary. The binary is considered as two astrophysical black holes in a spherically symmetric galactic ambient/halo with constant density. Effectively in the ISCO region the screening force is in charge due to the sharp transition in the density of matter field. It is shown that, in the presence of screening, when one companion of the binary system is between $R_{thinshell}$ and $R_{ISCO}$, the frequency of the gravitational emission have decreased, compared to GR without screening.