将孤立视界相空间扩展到弦引力模型
Extending the isolated horizon phase space to string-inspired gravity models
摘要：
孤立视界（英语：Isolated Horizon，缩写IH）是一个零超曲面，在那里几何是固定的。这推广了事件视界的概念，因此黑洞是一个与其（可能）动态环境处于局部平衡的物体。IH力学的第一定律产生于这个框架，它与所有在视界定义的量有关。在具有各种物质耦合和旋转的爱因斯坦引力中，以及在所有维度$D\geq3$中的渐近平坦和渐近反德西特（ADS）时空中，IH已经被广泛研究。受高维黑洞的非唯一性和黑洞/弦对应原理的启发，我们致力于这篇论文的扩展框架，包括在弦启发的引力模型，特别是爱因斯坦-麦克斯韦-陈-西蒙斯（EMCS）理论和爱因斯坦-高斯-邦纳（EGB）理论在高维。重点是确定黑洞的一般特征，这些特征是所考虑的理论的场方程的解。我们得到了各种结果的非极值，极值和超对称的IHS在EM-CS理论，和非旋转的IHS在EGB理论。(An PDF文件中提供了扩展摘要。）
英文摘要：
An isolated horizon (IH) is a null hypersurface at which the geometry is held fixed. This generalizes the notion of an event horizon so that the black hole is an object that is in local equilibrium with its (possibly) dynamic environment. The first law of IH mechanics that arises from the framework relates quantities that are all defined at the horizon. IHs have been extensively studied in Einstein gravity with various matter couplings and rotation, and in asymptotically flat and asymptotically anti-de Sitter (ADS) spacetimes in all dimensions $D\geq3$. Motivated by the nonuniqueness of black holes in higher dimensions and by the black-hole/string correspondence principle, we devote this thesis to the extension of the framework to include IHs in string-inspired gravity models, specifically to Einstein-Maxwell-Chern-Simons (EMCS) theory and to Einstein-Gauss-Bonnet (EGB) theory in higher dimensions. The focus is on determining the generic features of black holes that are solutions to the field equations of the theories under consideration. We obtain various results for non-extremal, extremal and supersymmetric IHs in EM-CS theory, and for non-rotating IHs in EGB theory. (An extended abstract is given in the PDF file.)
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