Introduces asymptotically-FLRW3 spacetimes whose asymptotic symmetry group is the one-parameter family BMS3^k, fully characterizes the scalar-field solution space, identifies covariant mass/angular-momentum aspects and news via vacuum orbits, and exhibits exactly conserved non-linear Newman-Penrose
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Flat holography and Carrollian fluids
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abstract
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.
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UNVERDICTED 16representative citing papers
A microscopic derivation of Carrollian fluid equations from a statistical mechanics of interacting instantonic branes, plus initial elements of Carrollian thermodynamics.
Scalar quasinormal modes on pp-wave spacetimes show zero-temperature dissipation for d >= 3 via an irregular singular point acting as absorber, with exact non-dissipative spectrum for d=2 and gapped modes proven by reduction to Bessel equation.
Magnetic Carroll supersymmetry descends from a twisted relativistic parent rather than naive contraction, realized in 3D N=2 with vector multiplet action whose conformal extension matches global super-BMS4.
Finite Carrollian black-hole thermodynamics arises as a double-scaled low-temperature large-N ensemble in AdS/CFT, with the boundary Brown-York stress tensor reproducing the contracted bulk Hamiltonian and first law.
Recovers Minkowski massless integer-spin solution space as smooth limit of AdS solution space for even dimensions via cosmological-constant expansion of source and vev.
Rotating black holes are constructed in magnetic Carroll gravity, including an intrinsically Carrollian dressed solution and a Kerroll black hole from an odd-power c-expansion of GR, with conserved charges computed.
A path integral with asymptotic boundary conditions produces the gravitational S-matrix and derives soft graviton theorems from extended BMS symmetry Ward identities.
The soft sector phase space of asymptotically flat gravity equals the phase space of radial size fluctuations of a finite causal diamond in flat spacetime.
Establishes a holographic link between bulk gravitational radiation and dissipative corrections plus entropy production in boundary fluids, then constructs Carrollian analogues and celestial observables in the flat limit.
A 3d sourced conformal Carrollian field theory is proposed to holographically capture 4d flat gravity kinematics, with Ward identities matching 2d celestial CFT after relating operators.
Carrollian fermionic actions for electric and magnetic sectors are derived from a single Bargmann Dirac action by null reduction, with good and bad fermions as dynamical and constrained modes valid in any dimension.
A Carrollian theory on null infinity reproduces all MHV and NMHV Yang-Mills tree amplitudes, with a new explicit NMHV expression.
Defines post-Carroll algebra allowing central charges in higher dimensions, constructs its conformal extension and the Carroll-Schrödinger algebra matching prior theory, and derives two-point functions in post-Carrollian CFTs with electric/magnetic sectors in 1+1 dimensions.
Generalized entanglement wedges rephrase the connected wedge theorem in bulk entropy terms, yielding mutual information bounds and a scattering-to-connected-wedge implication that extends to flat spacetimes.
A review summarizing Carrollian symmetries, CCFT constructions, and applications in AFS holography, Carroll hydrodynamics, and condensed matter phenomena such as fractons and flat bands.
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