English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We use the conditional symmetry approach to study the $r$-evolution of aminisuperspace spherically symmetric model both at the classical and quantumlevel. After integration of the coordinates $t$, $\theta$ and $\phi$ in thegravitational plus electromagnetic action the configuration space dependentdynamical variables turn out to correspond to the $r$-dependent metricfunctions and the electrostatic field. In the context of the formalism forconstrained systems (Dirac - Bergmann, ADM) with respect to the radialcoordinate $r$, we set up a point-like reparameterization invariant Lagrangian.It is seen that, in the constant potential parametrization of the lapse, thecorresponding minisuperspace is a Lorentzian three-dimensional flat manifoldwhich obviously admits six Killing vector fields plus a homothetic one. Theweakly vanishing $r$-Hamiltonian guarantees that the phase space quantitiesassociated to the six Killing fields are linear holonomic integrals of motion.The homothetic field provides one more rheonomic integral of motion. Theseseven integrals are shown to comprise the entire classical solution space, i.e.the space-time of a Reissner-Nordstr\"om black hole, the $r$-reparametrizationinvariance since one dependent variable remains unfixed, and the two quadraticrelations satisfied by the integration constants. We then quantize the modelusing the quantum analogues of the classical conditional symmetries, and showthat the existence of such symmetries yields solutions to the Wheeler-DeWittequation which, as a semiclassical analysis shows, exhibit a good correlationwith the classical regime. We use the resulting wave functions to investigatethe possibility of removing the classical singularities.

Minisuperspace Canonical Quantization of the Reissner-Nordstrom Black Hole via Conditional Symmetries