Asymptotic global physical quantities in numerical relativity

MATTHEW ANDERSON; EMANUEL GALLO; LUIS LEHNER; OSVALDO MORESCHI

Districto Federal

Conferencia; GR19. 19th International Conference on General Relativity and Gravitation; 2010

International Society on General Relativity and Gravitation

We present expressions for asymptotic physical quantities quantities (linear momentum, angular momentum and total radiated energy) in general relativity, that can be used in the extraction of the leading order behavior of the different fields in the asymptotic region. For the linear momentum and radiated energy we emphasize the need of working with frames that are asymptotically inertial (Bondi), and we show how they can be constructed for a general asymptotic flat spacetime. For angular momentum, one should use frames that are asymptotically center of mass frames. We also show some numerical works where we used these expressions in order to compute the asymptotic physical quantities.