Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dirac Equation in Kerr Geometry   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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The categories of this paper are: cs
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
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The categories of this paper are: math
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The categories of this paper are: physics