Petrov classification and holographic reconstruction of spacetime

作者：Gath Jakob^*; Mukhopadhyay Ayan; Petkou Anastasios C; Petropoulos P Marios; Siampos Konstantinos

来源：The Journal of High Energy Physics, 2015, 2015(9): 005.

DOI：10.1007/JHEP09(2015)005

• Gauge-gravity correspondence
• Black Holes in String Theory
• AdS-CFT Correspondence
• Black Holes

Using the asymptotic form of the bulk Weyl tensor, we present an explicit approach that allows us to reconstruct exact four-dimensional Einstein spacetimes which are algebraically special with respect to Petrov's classification. If the boundary metric supports a traceless, symmetric and conserved complex rank-two tensor, which is related to the boundary Cotton and energy-momentum tensors, and if the hydrodynamic congruence is shearless, then the bulk metric is exactly resummed and captures modes that stand beyond the hydrodynamic derivative expansion. We illustrate the method when the congruence has zero vorticity, leading to the Robinson-Trautman spacetimes of arbitrary Petrov class, and quote the case of non-vanishing vorticity, which captures the Plebanski-Demianski Petrov D family.

• 出版日期2015-9-1