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

Abstract

We consider Einstein-Maxwell-dilaton theory in four dimensions including the Kaluza-Klein theory and obtain the general asymptotic solutions in Bondi gauge. We find that there are three different types of news functions representing gravitational, electromagnetic, and scalar radiations. The mass density at any angle of the system can only decrease whenever there is any type of news function. The solution space of the Kaluza-Klein theory is also lifted to five dimensions. We also compute the asymptotic symmetries in both four dimensional Einstein-Maxwell-dilaton theory and five dimensional pure Einstein theory. We find that the symmetry algebras of the two theories are the same.

Hamiltonian derivation of dual gravitational charges

“…In summary, 27) reproducing the dual BMS charges [10] as well as the subleading dual BMS charges [11].…”

“…The recent interest on asymptotic charges, see for example Refs. [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36], is primarily motivated by the discovery of the importance of such charges in studies of gravitational scattering [37][38][39][40] and the application of such ideas to black hole physics [41][42][43]. The potential success of such investigations and applications of asymptotic gravitational charges relies crucially on a good understanding of just how many asymptotic charges there are, and preferably a classification of all such charges, as envisaged in Ref.…”

New dual gravitational charges

“…The recent interest on asymptotic charges, see for example Refs. [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36], is primarily motivated by the discovery of the importance of such charges in studies of gravitational scattering [37][38][39][40] and the application of such ideas to black hole physics [41][42][43]. The potential success of such investigations and applications of asymptotic gravitational charges relies crucially on a good understanding of just how many asymptotic charges there are, and preferably a classification of all such charges, as envisaged in Ref.…”

Gravitational breathing memory and dual symmetries

“…One can obtain the asymptotic behavior of BD theory in the Einstein frame independently [40]. Alternatively, one can use (2.46) and the results of the previous section to arrive at the same results.…”