Weyl Double Copy for Gravitational Waves

A double copy for asymptotic symmetries in the self-dual sector

“…The idea of gravity as a double copy (DC) 1 has found applications in the study of numerous aspects of the gravitational theory, most notably scattering amplitudes, where much of the recent success has been driven by the identification of a duality between the color and kinematic factors, the so-called Bern-Carrasco-Johannson (BCJ) duality [4][5][6][7][8][9][10][11]. It has progressed to the study of solutions, both perturbative [12][13][14][15][16][17][18] and exact [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35]. Another important extension has been to find manifestations of it beyond gravity theory [36][37][38][39][40][41][42].…”

The Weyl double copy from twistor space

“…Recently, a study of the Weyl double copy properties of type N solutions has been presented in ref. [131].…”

“…[45], and also for type N vacuum spacetimes in ref. [131]. However, a number of questions remain:…”

“…[123], which presented examples with Petrov types N and III (see also ref. [131] for a discussion of Petrov type N). These examples utilised a particularly well-studied class of holomorphic twistor functions, namely elementary states (see e.g.…”

The classical double copy for M-theory from a Kerr-Schild ansatz for exceptional field theory

“…Following this, the S-duality of Yang-Mills acting on classical solutions was related to a set of solution generating transformations in gravity [66,67] which indicates the double copy goes beyond the perturbative theory. Other relevant recent work is in [68][69][70][71][72].…”