Comment on "Quantum Raychaudhuri equation"

Comment on "Quantum Raychaudhuri equation"

We address the validity of the formalism and results presented in [ S. Das, Phys. Rev. {\bf D89} 084068 (2014)] with regard to quantum Raychaudhuri equation. The author obtained the so called quantum Raychaudhuri equation by replacing classical geodesics with quantal trajectories arising from Bhommi...

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Veröffentlicht in:arXiv.org 2017-04
Hauptverfasser: Lashin, E I, Dou, Djamel
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Conjugate points
Geodesy
Physics - General Relativity and Quantum Cosmology
Physics - High Energy Physics - Theory
Physics - Quantum Physics
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description We address the validity of the formalism and results presented in [ S. Das, Phys. Rev. {\bf D89} 084068 (2014)] with regard to quantum Raychaudhuri equation. The author obtained the so called quantum Raychaudhuri equation by replacing classical geodesics with quantal trajectories arising from Bhommian mechanics. The resulting modified equation was used to draw some conclusions about the inevitability of focussing and the formation of conjugate points and therefore singularity. We show that the whole procedure is full of problematic points, on both physical relevancy and mathematical correctness. In particular, we illustrate the problems associated with the technical derivation of the so called quantum Raychaudhuri equation, as well as its invalid physical implications.
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subjects Conjugate points
Geodesy
Physics - General Relativity and Quantum Cosmology
Physics - High Energy Physics - Theory
Physics - Quantum Physics
title Comment on "Quantum Raychaudhuri equation"
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