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Extended solution space for Chern-Simons gravity

Extended solution space for Chern-Simons gravity

Outline• Intro &

Outline• Intro & Motivation:• Jackiw & Pi’s version of EH + CS:• Field eqs. and the Pontryagin constraint: dynamical suppression of diff. inv. violation.• Schwarzschild is a solution, Kerr is not!• A new “twist”: the CS term as a source of torsion.• Field equations and Bianchi identities.• The CS term as a perturbation of a given GR solution.• Schwarzschild and slowly-rotating Kerr geometries are solutions.• ConclusionsVIII Silafae - UTFSM, Valparaíso, 2010 Mauro Cambiaso New solutions in Chern-Simons gravity – p. 2

Lorentz violation (LV)• Heisenberg RMP(1957).• Kostelecký and Samuel PRD (1989).LV from non-trivial vacuum in String Theory.• Carroll, Field and Jackiw PRD (1990).Gauge invariant extension to Maxwell @ $ of a “preferred direction” in spacetime.• Kostelecký et al. PRD (1997,1998).SME: gauge invariant, power-counting renormalizable and coordinate independent terms builtfrom the SM fields contracted with LV tensors.• Reasons for the huge interest:• String Theory, Spacetime Non-commutativity, Loop Quantum Gravity:=⇒ breakdown of Lorentz symmetry,i.e. LV → signal of Quantum Gravity or at least of new underlying physics.• SME framework permits parametrizing LV and comparison with experiments.VIII Silafae - UTFSM, Valparaíso, 2010 Mauro Cambiaso New solutions in Chern-Simons gravity – p. 3

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