Membrane paradigm from near-horizon soft hair
Membrane paradigm from near-horizon soft hair
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DOI：
10.1142/s0218271818470065
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发表时间：
2018-05
影响因子：
2.2
通讯作者：
D. Grumiller;M. Sheikh-Jabbari
中科院分区：
文献类型：
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作者：
D. Grumiller;M. Sheikh-Jabbari
膜范式假设黑洞微态是与接近黑洞事件视界的物理膜相关的动态自由度。软头发范式假设黑洞可以配备零能电荷，与标记近视界自由度的残余微分同胚有关。在本文中，我们认为后一种范式蕴含着前者。更具体地说，我们利用合适的近视界边界条件，得到了一个包含无限副本的海森堡代数的“软头发电荷”代数，与黑洞视界的面积保持剪切变形有关。我们使用近视界软头发及其海森堡代数来提供膜范例的公式，并说明它是如何解释黑洞的熵的。
The membrane paradigm posits that black hole microstates are dynamical degrees of freedom associated with a physical membrane vanishingly close to the black hole’s event horizon. The soft hair paradigm postulates that black holes can be equipped with zero-energy charges associated with residual diffeomorphisms that label near-horizon degrees of freedom. In this paper we argue that the latter paradigm implies the former. More specifically, we exploit suitable near-horizon boundary conditions that lead to an algebra of “soft hair charges” containing infinite copies of the Heisenberg algebra, associated with area-preserving shear deformations of black hole horizons. We employ the near-horizon soft hair and its Heisenberg algebra to provide a formulation of the membrane paradigm and show how it accounts for black hole entropy.