In this paper we consider the bouncing braneworld scenario, in which the bulk is given by a five-dimensional AdS black hole spacetime with matter field confined in a D3 brane. Exploiting the CFT/FRW-cosmology relation, we consider the selfgravitational corrections to the first Friedmann-like equation which is the equation of the brane motion. The self-gravitational corrections act as a source o...

A wide class of problems in the study of the spectral and orbital stability of dispersive waves in Hamiltonian systems can be reduced to understanding the so-called “energy spectrum,” that is the spectrum of the second variation of the Hamiltonian evaluated at the wave shape, which is constrained to act on a closed subspace of the underlying Hilbert space. We present a substantially simplified ...