English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Open

Presents the pdf analysis as premium feature

PDF Analysis

Insights

Presents the summarisation as premium feature

Summarisation

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

In 5D relativity, the usual 4D cosmological constant is determined by theextra dimension. If the extra dimension is spacelike, one can get a positivecosmological constant $\Lambda$ and a 4D de Sitter (dS) space. In this paper wepresent that, if the extra dimension is timelike oppositely, the negative$\Lambda$ will be emerged and the induced 4D space will be an asymptoticAnti-de Sitter (AdS). Under the minimum assumption, we solve the Kaluza-Kleinequation $R_{AB} = 0$ in a canonical system and obtain the AdS solution in ageneral case. The result shows that an AdS space is induced naturally from aKaluza-Klein manifold on a hypersurface (brane). The Lagrangian of testparticle indicates the equation of motion can be geodesics if the 4D metric isindependent of extra dimension. The causality is well respected because it isappropriately defined by a null higher dimensional interval. In this 5Drelativity, the holographic principle can be used safely because the brane isasymptotic Euclidean AdS in the bulk. We also explore some possible holographicduality implications about the field/operator correspondence and the two-pointscorrelation functions.

New asymptotic Anti-de Sitter solution with a timelike extra dimension in 5D relativity