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Paper   IPM / P / 17903
School of Physics
  Title:   Gravitational stress tensor and current at null infinity in three dimensions
  Author(s): 
1.  H. Adami
2.  M.M. Sheikh-Jabbari
3.  V. Taghiloo
  Status:   Published
  Journal: Phys. Lett. B
  Vol.:  855
  Year:  2024
  Pages:   138835
  Supported by:  IPM
  Abstract:
We develop the framework that reveals the intrinsic conserved stress tensor and current associated with the null infinity of a three-dimensional (3d) asymptotically flat spacetime. These are, respectively, canonical conjugates of degenerate metric and Ehresmann connection of the boundary Carrollian geometry. Their conservation reproduces the Bondi-mass and angular momentum conservation equations if the asymptotic boundary is endowed with a torsional affine connection that we specify. Our analysis and results shed further light on the 3d flat holography; the stress tensor and current give rise to an asymptotically flat fluid/gravity correspondence. The requirement of a well-defined 3d action principle yields Schwarzian action at null infinity governing the dynamics induced by reparametrizations over the celestial circle, in accord with the codimension 2 holography of 3d flat spacetimes.

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