The evolution of the trapping horizon of a black hole in the presence of infalling matter can be understood as a backreaction effect. Focusing on low-frequency scalar radiation and spherically symmetric black holes, I will show that a simple closed-form expression for the expansion rate of the horizon can be derived in terms of the initial data for the scalar field on past null infinity. This...
We will briefly summarize some recent results obtained in the Hamiltonian formalism for the Brans-Dicke theory. We will show that these results can be used to address equivalence (if any…) between Jordan and Einstein Frames. Although we will show that there is a mathematical equivalence between these two frames, a pair of examples points out that the two frames do not look to be physically equivalent.
In this talk we will discuss the theory of reduction of phase space, in terms of Poisson geometry, and the open problem of the diagram reductio-quantization in the setting of deformation quantization.