Rotating black hole with a probe string in Horndeski Gravity

Understand

In this work, we present the effect of a probe string on the complexity of a black hole according to the CA (Complexity equals action) conjecture on Horndeski's gravity.

• In our system, we consider a particle moving on the boundary of black hole spacetime in ($2+1$)-dimensions.
• To obtain a dual description, we need to insertion a fundamental string on the bulk spacetime.
• The effect of this string is given by the Nambu-Goto term.