Dirac Equation in Kerr Geometry

Details Dirac Equation in Kerr Geometry Dirac Equation in Kerr Geometry

1999-10-06

arxiv.org/abs/gr-qc/9910018v1

Indian J.Phys. B73 (1999) 855

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 Latex pages. crckapb.sty

Scientific paper

We are familiar with Dirac equation in flat space by which we can investigate the behaviour of half-integral spin particle. With the introduction of general relativistic effects the form of the Dirac equation will be modified. For the cases of different background geometry like Kerr, Schwarzschild etc. the corresponding form of the Dirac equation as well as the solution will be different. In 1972, Teukolsky wrote the Dirac equation in Kerr geometry. Chandrasekhar separated it into radial and angular parts in 1976. Later Chakrabarti solved the angular equation in 1984. In 1999 Mukhopadhyay and Chakrabarti have solved the radial Dirac equation in Kerr geometry in a spatially complete manner. In this review we will discuss these developments systematically and present some solutions.

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