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AuthorPaliathanasis A.
AuthorZampeli A.
AuthorChristodoulakis T.
AuthorMustafa M.T.
Available date2019-09-30T07:48:39Z
Publication Date2018
Publication NameClassical and Quantum Gravity
AbstractWe study the quantum corrections on the Szekeres system in the context of canonical quantization in the presence of symmetries. We start from an effective point-like Lagrangian with two integrals of motion, one corresponding to the Hamiltonian and the other to a second rank killing tensor. Imposing their quantum version on the wave function results to a solution which is then interpreted in the context of Bohmian mechanics. In this semiclassical approach, it is shown that there is no quantum corrections, thus the classical trajectories of the Szekeres system are not affected at this level. Finally, we define a probability function which shows that a stationary surface of the probability corresponds to a classical exact solution.
SponsorAP acknowledges the financial support of FONDECYT grant no. 3160121 and thanks Qatar University for the hospitality provided while part of this work was carried out. AZ acknowledges financial support by the grant GA?R 14-37086G.
PublisherInstitute of Physics Publishing
Subjectsemiclassical approach
Subjectsilent universe
SubjectSzekeres system
TitleQuantization of the Szekeres system
Issue Number12
Volume Number35

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