2017/04/30 by Daniel Grumiller, Wout Merbis, Max Riegler · 106 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary (topology) #Boundary value problem #Classical mechanics #Contraction (grammar) #Cosmology and Gravitation Theories #Einstein #Gravitation #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #gr-qc #hep-th
paper · pdf · doi:10.1088/1361-6382/aa8004
published in Classical and Quantum Gravity 34(18), 184001 (IOP Publishing) · 23 pp, invited for CQG BMS Focus Issue edited by Geoffrey Compere, v2: added minor clarifications and refs
arxiv created 2017/06/21 · openalex publication_date 2017/07/17 · arxiv updated 2017/08/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Abstract We consider the most general asymptotically flat boundary conditions in three-dimensional Einstein gravity in the sense that we allow for the maximal number of independent free functions in the metric, leading to six towers of boundary charges and six associated chemical potentials. We find as associated asymptotic symmetry algebra an <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mstyle displaystyle="false"> <mml:mrow> <mml:mi mathvariant="fraktur">i</mml:mi> <mml:mi mathvariant="fraktur">s</mml:mi> <mml:mi mathvariant="fraktur">l</mml:mi> </mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mn>2</mml:mn> <mml:msub> <mml:mo stretchy="false">)</mml:mo> <mml:mi>k</mml:mi> </mml:msub> </mml:mstyle> </mml:math> current algebra. Restricting the charges and chemical potentials in various ways recovers previous cases, such as <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mstyle displaystyle="false"> <mml:msub> <mml:mrow> <mml:mi mathvariant="fraktur">b</mml:mi> <mml:mi mathvariant="fraktur">m</mml:mi> <mml:mi mathvariant="fraktur">s</mml:mi> </mml:mrow> <mml:mn>3</mml:mn> </mml:msub> </mml:mstyle> </mml:math> , Heisenberg or Detournay–Riegler, all of which can be obtained as contractions of corresponding AdS 3 constructions. Finally, we show that a flat space contraction can induce an additional Carrollian contraction. As examples we provide two novel sets of boundary conditions for Carroll gravity.