Hamiltonian theory for the axial perturbations of a dynamical spherical background
Hamiltonian theory for the axial perturbations of a dynamical spherical background
We develop the Hamiltonian theory of axial perturbations around a general time-dependent spherical background spacetime.Using the fact that the linearized constraints are gauge generators, we isolate the physical and unconstrained axial gravitational wave in a Hamiltonian pair of variables.Then, switching to a more geometrical description of the system, we construct …