The European Physical Journal Plus | 2019
Generalized ADT charges and asymptotic symmetry algebra
Abstract
Using the expressions for generalized ADT current and potential in a self consistent manner, we derive the asymptotic symmetry algebra on $$\\mathrm{{AdS}}_3$$ AdS 3 and the near horizon extremal BTZ spacetimes. The structure of symmetry algebra among the conserved charges for asymptotic killing vectors matches exactly with the known results thus establishing the algebraic equivalence between the well known existing formalisms for obtaining the conserved charges and the generalized ADT charges.