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arXiv · 0803.1485

Dirichlet boundary value problem for Chern-Simons modified gravity

D. Grumiller·R. Mann·R. McNees
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Abstract

Chern-Simons modified gravity comprises the Einstein-Hilbert action and a higher-derivative interaction containing the Chern-Pontryagin density. We derive the analog of the Gibbons-Hawking-York boundary term required to render the Dirichlet boundary value problem well-defined. It turns out to be a boundary Chern-Simons action for the extrinsic curvature. We address applications to black hole thermodynamics.

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D. Grumiller, R. Mann, R. McNees. 2008-05-20. Dirichlet boundary value problem for Chern-Simons modified gravity. https://doi.org/10.1103/physrevd.78.081502

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