“School of Particles And Accelerator”
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Paper IPM / Particles And Accelerator / 13105  


Abstract:  
Flatspace limit is welldefined for asymptotically AdS spacetimes written in the BMS coordinates. For the threedimensional Einstein gravity with negative cosmological constant, we calculate the quasilocal energy momentum tensor in the BMS gauge and take its flatspace limit. In defining flatspace limit we use BMS/GCA correspondence which is a duality between gravity in flatspacetime and a field theory with Galilean conformal symmetry. The resulting stress tensor reproduces correct values for conserved charges of three dimensional asymptotically flat solutions. We show that the conservation relation of flatspace energymomentum tensor is given by an ultrarelativistic contraction from the relativistic counterpart. The conservation equations correspond to Einstein equation for the flat metric written in the BMS gauge. Our results provide further checks for the proposal that the holographic dual of asymptotically flat spacetimes is a field theory with Galilean conformal symmetry
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