Einstein-Horndeski gravity and the ultra slowly evaporating black hole

TL;DR

This paper investigates the unique evaporation behavior of charged black holes in Einstein-Horndeski gravity, revealing that non-minimal coupling causes a prolonged black hole lifetime compared to standard Reissner-Nordstrom black holes.

Contribution

It provides a detailed analysis of the thermodynamics and evaporation dynamics of Horndeski black holes, highlighting the impact of scalar charge and non-minimal coupling on black hole longevity.

Findings

Horndeski black holes have slower late-stage evaporation rates.

The black hole lifetime is significantly extended due to non-minimal coupling.

Distinct spacetime and electric field structures influence evaporation behavior.

Abstract

In this work, we study the evaporation behaviors of asymptotically flat charged black holes in the Einstein-Horndeski gravity theory. Based on the thermodynamics of the Horndeski black hole, we present a physical understanding of the scalar charge of the Horndeski black hole and also clarify its connection to the Einstein vector theory. As the presence of non-minimal coupling, the evaporating behaviors of the Horndeski black hole are vastly different from the Reissner-Nordstrom (RN) black hole case. Due to the different spacetime and electric field structures, the evaporation rate of the Horndeski black hole will slow down at the late stage of evaporation and thus gain a lifetime much longer than the RN black hole. These results illuminate the effect of non-minimally coupled matters on the black hole evaporation and provide clues to search for these matter fields in future observations.