Dirichlet boundary value problem for Chern-Simons modified gravity

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Grumiller, D.
Mann, R.
McNees, R.
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Abstract
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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.
Comment: 4 pages, revtex4, v2: added Refs., made one statement stronger, added footnote and added paragraph on single field inflation
Keywords
General Relativity and Quantum Cosmology, Astrophysics, High Energy Physics - Theory
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