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Massive spin half field; Kerr metric; spontaneous creation; black holes

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.

B R Iyer¹ Arvind Kumar¹

1. Department of Physics, University of Bombay, Bombay - 400 098

Published

August 1978

Manuscript received

9 March 1978