3 papers
gr-qc2024
The ďAlembert solution in hyperboloidal foliations
Juan A. Valiente Kroon, Lidia J. Gomes Da Silva
We explicitly construct the analogue of the ďAlembert solution to the 1+1 wave equation in an hyperboloidal setting. This hyperboloidal ďAlembert solution is used, in turn, to gain…
gr-qc2023
BMS-supertranslation charges at the critical sets of null infinity
Mariem Magdy, Kartik Prabhu, Juan A. Valiente Kroon
For asymptotically flat spacetimes, a conjecture by Strominger states that asymptotic BMS-supertranslations and their associated charges at past null infinity can…
gr-qc2023
New spinorial mass-quasilocal angular momentum inequality for initial data with marginally future trapped surface
Jarosław Kopiński, Alberto Soria, Juan A. Valiente Kroon
We prove a new geometric inequality that relates the Arnowitt-Deser-Misner mass of initial data to a quasilocal angular momentum of a marginally future trapped surface inner bounda…