PPN1 - Strong Gravity and Binaries |
Speaker_ |
Lusanna, Luca |
Talk _ |
York map, non-inertial frames and the physical interpretation of the gauge variables of the gravitational field |
Abstract _ |
The explicit construction of the York map in ADM canonical gravity allows to make a clear separation of the tidal degrees of freedom of the gravitational field from its gauge variables. To get deterministic Hamilton equations for the tidal variables in globally hyperbolic spacetimes of the Christodoulou-Klainermann type, the gauge variables have to be fixed and this is equivalent to the determination of a global non-inertial frame. Since tha canonical Hamiltonian is the sum of the gauge-dependent weak ADM energy plus the constraints, all the gauge variables can be interpreted as relativistic inertial effects. The spacetime chronogeometrical structure is dynamically determined and there are indications that dark matter can be interpreted as a relativistic inertial effect when matter is present. This will require a background-independent weak field limit allowing to find a resummation of the PN 1/c expansions and the relativistic quadrupole emission formula. |