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Rotating black hole with a probe string in Horndeski Gravity
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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.
Forward citations
Cited by 2 Pith papers
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A Universal Smarr Formula via Coupling Constants
Coupling constants promoted to conserved charges make the Smarr formula work for black holes in NMG, Horndeski, MTZ, and higher-curvature gravity.
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$R^2$ corrections to Complexity Growth with a Probe String
In Gauss-Bonnet AdS5, the probe-string complexity growth is maximized at zero velocity, independent of the GB coupling when stationary, and linear in temperature.
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