Chern-Simons修正引力的Dirichlet边值问题
Dirichlet boundary value problem for Chern-Simons modified gravity
摘要:
Chern-Simons修正引力包括Einstein-Hilbert作用量和包含Chern-Pontryagin密度的高阶导数相互作用。我们推导出类似的Gibbons-Hawking-York边界项,使狄利克雷边值问题定义良好。它原来是一个边界的Chern-Simons作用的外部曲率。我们解决应用黑洞热力学。
英文摘要:
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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