The \(\mathrm{SO}(3,1) \times \mathrm U(1)\)-gauge covariant Dirac equation in relativistic magnetars

DOI10.1007/s10714-018-2449-2zbMath1403.83030OpenAlexW2890775647MaRDI QIDQ1618014

Marina-Aura Dariescu, Ciprian Dariescu, Cristian Stelea

Publication date: 13 November 2018

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10714-018-2449-2

zbMATH Keywords

Heun functionsDirac equationspinor fieldstarmagnetars

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Galactic and stellar structure (85A15)

Related Items (1)

Dirac equation on the Kerr-Newman spacetime and Heun functions

Uses Software

• Maple

Cites Work

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• Behavior of a spin-1/2 massive charged particle in Schwarzschild immersed in an electromagnetic universe
• The \(SO(3,1) \times U(1)\)-gauge invariant approach to charged bosons in relativistic magnetars
• Confluent Heun functions and the physics of black holes: resonant frequencies, Hawking radiation and scattering of scalar waves
• Schrödinger potentials solvable in terms of the general Heun functions
• Dirac equation under scalar and vector generalized isotonic oscillators and Cornell tensor interaction
• Dirac equation with some time-dependent electromagnetic terms
• Axially symmetric static sources of gravitational field
• APPROXIMATIVE ANALYTICAL SOLUTIONS OF THE DIRAC EQUATION IN SCHWARZSCHILD SPACETIME
• Classes of exact solutions to the Teukolsky master equation

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