Rotating black hole with a probe string in Horndeski Gravity

Abstract

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. For the Nambu-Goto term, we can analyze the time development of this system, which is affected by the parameters of Horndeski's gravity. In our case, we show some interesting complexity properties for this gravity.

12 pages, 4 figures

References in corpus (7)

• Black holes with non-minimal derivative coupling
• Asymptotically locally AdS and flat black holes in the presence of an electric field in the Horndeski scenario
• Thermodynamics of a BTZ black hole solution with an Horndeski source
• Fab Four: When John and George play gravitation and cosmology
• Axionic black branes in the k-essence sector of the Horndeski model
• Complexity of AdS_5 black holes with a rotating string
• Mimicking dark matter in Horndeski gravity

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• Complexity growth of massive black hole with a probe string
• Holographic complexity of braneworld in Horndeski gravity
• Complexity growth of BTZ black hole in massive gravity with a null string
• Quantum fluctuation on the worldsheet of probe string in BTZ black hole
• Probe strings on AdS accelerating black holes
• Propagation of tensor perturbation in Horndeski-like gravity