Discrete spectrum of the quantum Reissner - Nordstr\'om geometry

Autor:	Dimakis, N., Karagiorgos, A., Pailas, T., Terzis, Petros A., Christodoulakis, T.
Rok vydání:	2017
Předmět:	General Relativity and Quantum Cosmology High Energy Physics - Theory Quantum Physics
Zdroj:	Phys. Rev. D 95, 086016 (2017)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevD.95.086016
Popis:	We start from a static, spherically symmetric space-time in the presence of an electrostatic field and construct the mini-superspace Lagrangian that reproduces the well known Reissner - Nordstr\"om solution. We identify the classical integrals of motion that are to be mapped to quantum observables and which are associated with the mass and charge. Their eigenvalue equations are used as supplementary conditions to the Wheeler-DeWitt equation and a link is provided between the existence of an horizon and to whether the spectrum of the observables is fully discrete or not. For each case we provide an orthonormal basis of states as emerges through the process of canonical quantization. Comment: 20 pages, no figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1703.05292 Zobrazit plný text záznamu View this record from Arxiv