arXivDaily arXiv每日学术速递 周一至周五更新
北美退伍军人节(Veterans Day),12 日无更新
arXiv 1802.06809hep-thgr-qc
收藏

平板全息术与卡罗流体

Flat holography and Carrollian fluids

Luca Ciambelli, Charles Marteau, Anastasios C. Petkou, P. Marios Petropoulos, Konstantinos Siampos

摘要:

我们证明了四维渐近局部平坦时空的全息描述是从反德西特全息的零宇宙常数极限平滑地达到的。为此,我们使用流体/重力对应的导数展开。从边界的角度来看,体宇宙学常数的消失表现为光速极限为零。这就决定了平面全息中的卡罗几何是如何出现的。新的边界数据是一个二维的空间表面,确定与零无穷大的散装里奇平坦时空,伴随着一个卡罗尔时间,并配备了一个卡罗尔结构,加上动力学观测的共形卡罗尔流体。这些是能量,粘性应力张量和热流,而卡罗尔几何是由一个二维的空间度量,框架连接和比例因子。从Carrollian边界数据重建Ricci平坦时空是用平坦的导数展开进行的,在继承了祖先anti-de Sitter设置的进一步可积性条件下,在Eddington-Finkelstein规范中以封闭形式表示。这些条件取决于流体摩擦张量和Cotton-like几何数据之间的对偶关系。我们说明这些结果的情况下,共形的Carrollian完美流体和Robinson-Trautman粘性流体动力学。前者是渐近平坦的Kerr-Taub-NUT族的对偶,而后者则导致代数特殊的Ricci平坦时空的同态类。

英文摘要:

We show that a holographic description of four-dimensional asymptotically locally flat spacetimes is reached smoothly from the zero-cosmological-constant limit of anti-de Sitter holography. To this end, we use the derivative expansion of fluid/gravity correspondence. From the boundary perspective, the vanishing of the bulk cosmological constant appears as the zero velocity of light limit. This sets how Carrollian geometry emerges in flat holography. The new boundary data are a two-dimensional spatial surface, identified with the null infinity of the bulk Ricci-flat spacetime, accompanied with a Carrollian time and equipped with a Carrollian structure, plus the dynamical observables of a conformal Carrollian fluid. These are the energy, the viscous stress tensors and the heat currents, whereas the Carrollian geometry is gathered by a two-dimensional spatial metric, a frame connection and a scale factor. The reconstruction of Ricci-flat spacetimes from Carrollian boundary data is conducted with a flat derivative expansion, resummed in a closed form in Eddington-Finkelstein gauge under further integrability conditions inherited from the ancestor anti-de Sitter set-up. These conditions are hinged on a duality relationship among fluid friction tensors and Cotton-like geometric data. We illustrate these results in the case of conformal Carrollian perfect fluids and Robinson-Trautman viscous hydrodynamics. The former are dual to the asymptotically flat Kerr-Taub-NUT family, while the latter leads to the homonymous class of algebraically special Ricci-flat spacetimes.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑