Speaker
Piotr Waluk
(Center for Theoretical Physics, PAS)
Description
The widely accepted ADM expression for the energy of an asymptotically flat spacetime satisfies a "natural" consistency test - its second variation is equal to the canonical hamiltonian functional for linearized gravity on a Minkowski background. A viable quasi-local mass candidate should posses a similar property, namely - its second-order approximation should equal the hamiltonian of the well-understood linearized theory.
We show that the Hawking quasi-local mass passes this test, provided that certain gauge conditions are fulfilled. We believe that these gauge conditions may actually carry a physical meaning - they provide a suggestion about the way the problem of quasi-local energy should be posed.
Primary author
Piotr Waluk
(Center for Theoretical Physics, PAS)
Co-authors
Prof.
Jacek Jezierski
(Faculty of Physics, University of Warsaw)
Prof.
Jerzy Kijowski
(Center for Theoretical Physics, PAS)
