Affiliation:
1. Instituto de Física Universidade Federal do Rio de Janeiro Caixa Postal 68528 Rio de Janeiro RJ 21941‐972 Brazil
2. Main Astronomical Observatory of the NAS of Ukraine (MAO NASU) Kyiv 03143 Ukraine
3. Astronomical Observatory Taras Shevchenko National University of Kyiv 3 Observatorna St. Kyiv 04053 Ukraine
Abstract
AbstractThis work investigates the influence of a probe string on a complexity of braneworld according to the CA (Complexity equals action) conjecture within the Horndeski gravity. In the current study, it is considered that scalar fields that source Horndeski gravity have a spatial dependence. In addition, our system contains a particle moving on the boundary, which corresponds to the insertion of a fundamental string in the higher dimensional bulk. Such an effect is given by the Nambu‐Goto term, that also incorporates the time‐dependence and evolution in our system. Both warp factor, scalar field and superpotential values are derived numerically assuming appropriate initial conditions and the growth rate of holographic complexity is analysed within the so‐called Wheeler‐De Witt (WDW) patch with null‐like hypersurfaces present.
Subject
General Physics and Astronomy
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