Even-dimensional topological gravity from Chern-Simons gravity

Abstract

It is shown that the topological action for gravity in 2n-dimensions can be obtained from the 2n+1-dimensional Chern-Simons gravity genuinely invariant under the Poincare group. The 2n-dimensional topological gravity is described by the dynamics of the boundary of a 2n+1-dimensional Chern-Simons gravity theory with suitable boundary conditions. The field ${\varphi }^a$, which is necessary to construct this type of topological gravity in even dimensions, is identified with the coset field associated with the non-linear realizations of the Poincare group ISO(d-1,1).

References in corpus (2)

• Higher dimensional gravity invariant under the AdS group
• Euler Chern Simons Gravity from Lovelock Born Infeld Gravity

Cited by in corpus (6)

• Chern-Simons modified gravity and closed time-like curves
• Einstein-Gauss-Bonnet theory of gravity: The Gauss-Bonnet-Katz boundary term
• Topological gravity and Wess-Zumino-Witten term
• Generalized Einstein gravities and generalized AdS symmetries
• Chern-Weil theorem, Lovelock Lagrangians in critical dimensions and boundary terms in gravity actions
• Topological Gravity on $(D,N)-$Shift Superspace Formulation