2015/06/30 by Jakob Gath, Ayan Mukhopadhyay, Anastasios C. Petkou +3
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary (topology) #Classical mechanics #Congruence (geometry) #Cosmology and Gravitation Theories #Curvature #Einstein #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Metric (unit) #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Riemann curvature tensor #Spacetime #Tensor (intrinsic definition) #Vortex #Vorticity #Weyl tensor #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep09(2015)005
v1: 22 pages, Latex, v3: few minor changes, JHEP version, v4: typo corrected in equation (2.25)
openalex publication_date 2015/09/01 · arxiv created 2018/04/12 · arxiv updated 2018/04/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 Plebański-Demiański Petrov D family.