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Extended solution space for Chern-Simons gravity

Extended solution space for Chern-Simons gravity

EC + CS vs. EH + CSEH +

EC + CS vs. EH + CSEH + CSEC + CSS[g] S[e,ω]ω = Γ ω = Γ + KT = 0 T ∝ ∂ϑG (0)µν + C µν = T µν G µν = T µν∇ µ C µν = 0 ∇ T µG µν = ∇ T µT µν• Pontryagin constraint generalized. In the EC case suffice to have Lorentzinvariance in matter sector for consistence except for a residual conditionon ϑ allowing for more possibilities,VIII Silafae - UTFSM, Valparaíso, 2010 Mauro Cambiaso New solutions in Chern-Simons gravity – p. 15

EC + CS vs. EH + CSEH + CSEC + CSS[g] S[e,ω]ω = Γ ω = Γ + KT = 0 T ∝ ∂ϑG (0)µν + C µν = T µν G µν = T µν∇ µ C µν = 0 ∇ T µG µν = ∇ T µT µν• Classical GR test NOT only Ok for the canonical embedding,• Possibility for seeking new perturbative solutions.VIII Silafae - UTFSM, Valparaíso, 2010 Mauro Cambiaso New solutions in Chern-Simons gravity – p. 15

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