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 Poincaré 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 ϕa, 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).
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