Moduli spaces of transverse deformations of near-horizon geometries
Moduli spaces of transverse deformations of near-horizon geometries
复制标题
近地平线几何横向变形的模空间
DOI：
10.1088/1751-8121/aa6cbf
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
J. Gutowski
中科院分区：
文献类型：
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作者：
A. Fontanella;J. Gutowski
我们研究了Einstein-Maxwell-Dilaton理论中极端近视界几何的变形，包括各种拓扑项，以及D = 11超引力。通过线性化场方程和比安奇恒等式，我们证明了与这种形变相关的模是由偏微分方程的椭圆系统所约束的.因此，在这些理论中，近视界几何的变形模空间是有限维的。
We investigate deformations of extremal near-horizon geometries in Einstein–Maxwell–Dilaton theory, including various topological terms, and also in D = 11 supergravity. By linearizing the field equations and Bianchi identities over the compact spatial cross-sections of the near-horizon geometry, we prove that the moduli associated with such deformations are constrained by elliptic systems of PDEs. The moduli space of deformations of near-horizon geometries in these theories is therefore shown to be finite dimensional.