2018/08/31 by Subhash Mahapatra, Pratim Roy · 55 citations
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Black hole (networking) #Computer science #Conformal map #Cosmology and Gravitation Theories #Dilaton #Einstein #Holography #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Spacetime #Theoretical physics #Upper and lower bounds #gr-qc #hep-th #quant-ph
paper · pdf · doi:10.1007/jhep11(2018)138
published in Journal of High Energy Physics 2018(11) (Springer Nature) · 33 pages, 27 figures, 1 table. Various typos corrected from the previous version, references and discussion added. Altered to match published version
openalex created_date 2018/09/07 · openalex publication_date 2018/11/01 · arxiv created 2018/12/03 · arxiv updated 2018/12/04 · openalex updated_date 2026/08/05
A bstract We study the holographic “complexity = action” (CA) and “complexity = volume” (CV) proposals in Einstein-dilaton gravity in all spacetime dimensions. We analytically construct an infinite family of black hole solutions and use CA and CV proposals to investigate the time evolution of the complexity. Using the CA proposal, we find dimensional dependent violation of the Lloyd bound in early as well as in late times. Moreover, depending on the parameters of the theory, the bound violation relative to the conformal field theory result can be tailored in the early times as well. In contrast to the CA proposal, the CV proposal in our model yields results similar to those obtained in the literature.