Astronomy and Astrophysics – Astrophysics
Scientific paper
Dec 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998tx19.confe.121m&link_type=abstract
Abstracts of the 19th Texas Symposium on Relativistic Astrophysics and Cosmology, held in Paris, France, Dec. 14-18, 1998. Eds.:
Astronomy and Astrophysics
Astrophysics
Scientific paper
In 1976 Chandrasekhar separated the Dirac equation in Kerr geometry in radial and angular components. Chakrabarti in 1983 solved the angular equation and corresponding eigenvalues for different Kerr parameters were found. Also Chandrasekhar solved the radial equation asymptotically and the reflection and transmission coefficients calculated. Here we have solved the radial equation fully (not asymptotically) and calculated the analytic expression of the radial wave function. Since for different Kerr parameters the corresponding nature of the potentials are changed so we study for few Kerr parameters by using the corresponding eigenvalues of the Dirac equation in Kerr geometry which were calculated by Chakrabarti. From the solution we get the reflection and transmission coefficient, which are now space depandent. We have found that for different Kerr parameters different nature of solutions.
Chakrabarti Sandip K.
Mukhopadhyay Banibrata
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