# Dilaton Field Released under Collision of Dilatonic Black Holes with Gauss-Bonnet Term

## TL;DR

This paper analyzes the maximum gravitational radiation from colliding dilatonic black holes with Gauss-Bonnet coupling, highlighting the role of dilaton hair in energy emission.

## Contribution

It introduces a thermodynamics-based method to estimate the upper limit of radiation considering dilaton hair effects in black hole collisions.

## Key findings

- Radiation exceeds that of Schwarzschild black holes due to dilaton hair.
- Most dilaton hair can be emitted during collision, maximizing energy release.
- Energy radiated is highest when one black hole's horizon is minimized.

## Abstract

We investigate the upper limit of the gravitational radiation released upon the collision of two dilatonic black holes by analyzing the Gauss-Bonnet term. Dilatonic black holes have a dilaton hair coupled with this term. Using the laws of thermodynamics, the upper limit of the radiation is obtained, which reflected the effects of the dilaton hair. The amount of radiation released is greater than that emitted by a Schwarzschild black hole due to the contribution from the dilaton hair. In the collision, most of the dilaton hair can be released through radiation, where the energy radiated by the dilaton hair is maximized when the horizon of one black hole is minimized for a fixed second black hole.