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arXiv · hep-th/0606159

Analogies between self-duality and stealth matter source

Mokhtar Hassaïne
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Abstract

We consider the problem of a self-interacting scalar field nonminimally coupled to the three-dimensional BTZ metric such that its energy-momentum tensor evaluated on the BTZ metric vanishes. We prove that this system is equivalent to a self-dual system composed by a set of two first-order equations. The self-dual point is achieved by fixing one of the coupling constant of the potential in terms of the nonminimal coupling parameter. At the self-dual point and up to some boundary terms, the matter action evaluated on the BTZ metric is bounded below and above. These two bounds are saturated simultaneously yielding to a vanishing action for configurations satisfying the set of self-dual first-order equations.

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Mokhtar Hassaïne. 2006-06-16. Analogies between self-duality and stealth matter source. https://doi.org/10.1088/0305-4470%2F39%2F27%2F008

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