University of Cambridge > > DAMTP Friday GR Seminar > Higher derivative with constraints: exorcising Ostrogradski's ghost.

Higher derivative with constraints: exorcising Ostrogradski's ghost.

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If you have a question about this talk, please contact Dr Joan Camps.

Higher derivative theory, if non-degenerate, is known to be accompanied with Ostrogradski’s instability. The only way anyone has ever found to avoid it is by constraints. The first part of my talk will be a pedagogical review of Ostrogradski’s instability and Dirac’s analysis of constrained systems. After that I will present how to introduce suitable constraints which selectively remove the unstable degrees of freedom and render Hamiltonian bounded from below. Finally I will discuss how to apply this technique to higher derivative gravity.

This talk is part of the DAMTP Friday GR Seminar series.

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