B R Iyer
Articles written in Pramana – Journal of Physics
Volume 8 Issue 6 June 1977 pp 500-511 General Relativity
Dirac equation in Kerr space-time
The weak field-low velocity approximation of Dirac equation in Kerr space-time is investigated. The interaction terms admit of an interpretation in terms of a ‘dipole-dipole’ interaction in addition to coupling of spin with the angular momentum of the rotating source. The gravitational gyro-factor for spin is identified. The charged case (Kerr-Newman) is studied using minimal prescription for electromagnetic coupling in the locally inertial frame and to the leading order the standard electromagnetic gyro-factor is retrieved. A first order perturbation calculation of the shift of the Schwarzschild energy level yields the main interesting result of this work: the anomalous Zeeman splitting of the energy level of a Dirac particle in Kerr metric.
Volume 9 Issue 5 November 1977 pp 441-456 Mathematical Physics
Green’s functions for spin half field theory in Rindler space
The solutions of Dirac equation in different regions of the complete extension of Rindler space are obtained near the event horizons and in the asymptotic limits. Continuity of these solutions across the event horizons is established. The Green’s functions are written down in the two causally disconnected regions, continued in the future (
Volume 11 Issue 2 August 1978 pp 171-185 Astrophysics
Spontaneous creation of massive spin half particles by a rotating block hole
The techniques of second quantization in Kerr metric for the scalar and neutrino (massless) fields are extended to the massive spin half case. The normal modes of Dirac field in Kerr metric are obtained in Chandrasekhar’s representation and the field is quantized as usual by imposing equal-time anti-commutation relations. The vacuum expectation value of energy-momentum tensor is evaluated asymptotically, leading to the result that a Kerr black hole spontaneously creates, in addition to scalar and neutrino quanta, massive Dirac particles in the classical superradiant modes.
Volume 12 Issue 2 February 1979 pp 103-120 General Relativity
Hawking radiation of scalar and Dirac quanta from a Kerr black hole
Unruh’s technique of replacing collapse by boundary conditions on the past horizon (the
Volume 25 Issue 2 August 1985 pp 135-148 Cosmology And Gravitation
Accretion onto a Kerr black hole in the presence of a dipole magnetic field
B R Iyer C V Vishveshwara P J Wiita J J Goldstein
We analyze the accretion of charged matter onto a rotating black hole immersed in an aligned dipolar magnetic field. We specialize to motion in the equatorial plane and calculate the ‘Keplerian’ angular momentum distribution, the marginally stable and marginally bound orbits, and the efficiency of mass-to-energy conversion as functions of the angular momentum of the black hole and of the product of the dipole moment and the charge of the infalling matter. Although the detailed results are quite different from those previously obtained in the case of an uniform magnetic field, the astrophysically relevant results are very similar; when hydrodynamical accretion is considered, these effects of the magnetic field are always very small. But for test particles the efficiency can be significantly increased for limited ranges of the parameters.
Volume 32 Issue 6 June 1989 pp 749-752 General Relativity And Gravitation
The Vaidya solution in higher dimensions
The Vaidya metric representing the gravitational field of a radiating star is generalized to spacetimes of dimensions greater than four.
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