Einstein-Chern-Simons equations on the 3-brane world
F. Izaurieta, P. Salgado, R. Salgado
TL;DR
This paper explores the derivation of effective four-dimensional Einstein-Chern-Simons equations for a 3-brane in a five-dimensional AdS-Chern-Simons gravity framework, using junction conditions and the S-expansion method.
Contribution
It introduces a novel approach to obtain 4D Einstein-Chern-Simons equations from 5D AdS-Chern-Simons gravity via junction conditions and S-expansion.
Findings
Derived effective 4D Einstein-Chern-Simons equations.
Mapped junction conditions from 5D to 4D.
Provided a new framework for brane-world gravity models.
Abstract
In this article it is studied the 3-brane world in the context of five-dimensional Einstein-Chern-Simons gravity. We started by considering Israel's junction condition for AdS-Chern-Simons gravity. Using the S-expansion procedure, we mapped the AdS-Chern-Simons junction conditions to Einstein-Chern-Simons gravity, allowing us to derive effective four-dimensional Einstein-Chern-Simons field equations.
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