Euler Chern Simons Gravity from Lovelock Born Infeld Gravity
Fernando Izaurieta, Eduardo Rodriguez, Patricio Salgado
TL;DR
This paper develops a gauge-theoretic approach to derive Euler-Chern-Simons gravity from higher-dimensional Lovelock Born-Infeld gravity through a generalized dimensional reduction process.
Contribution
It introduces a generalized dimensional reduction method that connects Lovelock Born-Infeld gravity to Euler-Chern-Simons gravity in lower dimensions.
Findings
Derived Euler-Chern-Simons gravity from Lovelock Born-Infeld gravity.
Generalized the dimensional reduction procedure of Grignani-Nardelli.
Established a gauge-theoretic formulation for higher-dimensional gravity.
Abstract
In the context of a gauge theoretical formulation, higher dimensional gravity invariant under the AdS group is dimensionally reduced to Euler-Chern-Simons gravity. The dimensional reduction procedure of Grignani-Nardelli [Phys. Lett. B 300, 38 (1993)] is generalized so as to permit reducing D-dimensional Lanczos Lovelock gravity to d=D-1 dimensions.
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