Some clarifications about the Bohmian geodesic deviation equation and Raychaudhuri’s equation

One of the important and famous topics in general theory of relativity and gravitation is the problem of geodesic deviation and its related singularity theorems. An interesting subject is the investigation of these concepts when quantum effects are considered. Since the definition of trajectory is n...

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Published inInternational journal of modern physics. A, Particles and fields, gravitation, cosmology Vol. 33; no. 3; p. 1850027
Main Authors Rahmani, Faramarz, Golshani, Mehdi
Format Journal Article
LanguageEnglish
Published Singapore World Scientific Publishing Company 30.01.2018
World Scientific Publishing Co. Pte., Ltd
Subjects
Deviation
Physics
Quantum mechanics
Quantum physics
Quantum theory
Relativity
Trajectories
Gravitation
Bohmian quantum potential
Raychaudhuri’s equation
geodesic deviation equation
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Summary:One of the important and famous topics in general theory of relativity and gravitation is the problem of geodesic deviation and its related singularity theorems. An interesting subject is the investigation of these concepts when quantum effects are considered. Since the definition of trajectory is not possible in the framework of standard quantum mechanics (SQM), we investigate the problem of geodesic equation and its related topics in the framework of Bohmian quantum mechanics in which the definition of trajectory is possible. We do this in a fixed background and we do not consider the backreaction effects of matter on the space–time metric.
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ISSN:0217-751X
1793-656X
DOI:10.1142/S0217751X18500276