School and Conference on Modern Mathematical Physics

9 - 14 September 2019, Belgrade, Serbia


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    E-mail: mphys10@ipb.ac.rs


Ahmad Al-Badawi

Solutions of Dirac equation in the regular Bardeen black hole surrounded by quintessence

The exact solutions of the Dirac equation that describe a massive, non-charged particle with spin 1/2 in the curved spacetime geometry of regular Bardeen black hole surrounded by quintessence (BBHQ) are investigated. We first, derive the Dirac equation in the BBHQ background using a null tetrad in the Newman-Penrose formalism. Afterwards, we separate the Dirac equation into ordinary differential equations for the radial and angular parts. The angular part equations are solved exactly in terms of standard spherical harmonics. The radial part equations are transformed into a Schrodinger like differential wave equations with effective potentials. In addition we investigate the behaviour of the effective potentials by varying the quintessence parameters, magnetic monopole charge parameter and the frequency of the particle.


Institute of Physics Belgrade (University of Belgrade)
Belgrade, Serbia
Faculty of Mathematics (University of Belgrade)
Belgrade, Serbia
Mathematical Institute (Serbian Academy of Sciences and Arts)
Belgrade, Serbia
Faculty of Science (University of Kragujevac)
Kragujevac, Serbia


Serbian Academy of Sciences and Arts (SASA)
Belgrade, Serbia

Institute of Nuclear Sciences "VinĨa" (University of Belgrade)
Belgrade, Serbia
Institute of Physics (University of Kragujevac)
Kragujevac, Serbia

Faculty of Physics (University of Belgrade)
Belgrade, Serbia
Faculty of Sciences (University of Novi Sad)
Novi Sad, Serbia
School of Electrical Engineering (University of Belgrade)
Belgrade, Serbia

SEENET-MTP (Southeastern European Network in Mathematical and Theoretical Physics)
Nis, Serbia