Constraint Lie algebra and local physical Hamiltonian for a generic 2D dilatonic model
Alejandro Corichi, Asieh Karami, Saeed Rastgoo, Tatjana Vukašinac
备注：
24 pages, 3 appendices. A few small changes applied to the text, including the addition of important new comments about rescalings on the Killing horizon. 3 new references added
We consider a class of two dimensional dilatonic models, and revisit them from the perspective of a new set of "polar type" variables. These are motivated by recently defined variables within the spherically symmetric sector of 4D general relativity. We show that for a large class of dilatonic models, including the case \emph{with} matter, one can perform a series of canonical transformations in such a way that the Poisson algebra of the constraints becomes a Lie algebra. Furthermore, we construct Dirac observables and a reduced Hamiltonian that accounts for the time evolution of the system. Thus, with our formulation, the systems under consideration are amenable to be quantized with loop quantization methods.
Dyon-like black hole solutions in the model with two Abelian gauge fields
Institute of Experimental and Theoretical Physics, Al-Farabi Kazakh National University（阿拉法比哈萨克国立大学实验与理论物理研究所）；Peoples’ Friendship University of Russia (RUDN University)（俄罗斯人民友谊大学）；Center for Gravitation and Fundamental Metrology（引力与基本计量中心）
