Tower of subleading dual BMS charges

Abstract

We supplement the recently found dual gravitational charges with dual charges for the whole BMS symmetry algebra. Furthermore, we extend the dual charges away from null infinity, defining subleading dual charges. These subleading dual charges complement the subleading BMS charges in the literature and together account for all the Newman-Penrose charges.

Taub-NUT from the Dirac monopole

“…Thus, c 4 is a Kerr-like angular momentum parameter, which, for simplicity, we shall for now set to zero. The integration constant c 3 will contribute to subleading BMS charges [11], [5], and we shall also set this to zero for simplicity.…”

“…Asymptotically flat spacetimes have been extensively studied over the last 50 years, particularly, recently, in the context of gravitational wave detections [1] and asymptotic symmetry groups [2,3]. In this paper, motivated by recent work on dual gravitational charges [4][5][6][7], we show how treating asymptotically flat spacetimes in terms of a characteristic value problem [8] provides an intriguing way of viewing the Dirac magnetic monopole as a progenitor of the Taub-NUT spacetime. 1 Our starting point is to consider a general class of asymptotically flat metrics, written in a Bondi coordinate system (u, r, x I = {θ, φ}), such that the metric takes the form 2…”

“…Thus F 0 , C I 0 and C I 1 constitute the data determining the Bondi mass, NUT charge and angular momentum. Furthermore, the other data given by terms at higher powers in the 1/r expansion of h IJ correspond to subleading BMS charges [11], [5]. For example, D IJ determines the BMS charge at order 1/r 2 .…”

Dual gravitational charges and soft theorems

“…Recent investigations [1][2][3] of the relation between Newman-Penrose charges [4] and the charges corresponding to the BMS symmetry group of asymptotically flat spacetimes [5] have led to the discovery of two generalisations of BMS charges: a generalisation in terms of a subleading 1/r expansion and a generalisation in terms of a complexification of the BMS charges. In this context, the real and imaginary parts of the Newman-Penrose charges corresponds to the subleading supertranslation and dual supertranslation charges at order 1/r 3 .…”

Asymptotic structure of Einstein-Maxwell-dilaton theory and its five dimensional origin

“…In recent years, physics near null infinity has obtained renewed interest from several aspects, e.g. holography [2][3][4][5][6], asymptotic symmetries [7][8][9][10][11][12], infrared physics [13][14][15][16][17][18][19][20][21][22], memory effect [23][24][25], and gravitational conserved quantities [26][27][28][29][30][31]. The Bondi gauge plays a central role in all the relevant research.…”