Dirac equation in some homogeneous$sqace-times, separation of variables and exact solutions

Details Dirac equation in some homogeneous$sqace-times, separation of variables and exact solutions Dirac equation in some homogeneous$sqace-times, separation of variables and exact solutions

1993-06-16

arxiv.org/abs/gr-qc/9306019v1

Mod.Phys.Lett. A8 (1993) 2351-2364

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19p, Latex, IVIC-CFLE-93/1

Scientific paper

In the present article, using a further generalization of the algebraic method of separation of variables, the Dirac equation is separated in a family of space-times where it is not possible to find a complete set of first order commuting differential operators. After separating variables, the Dirac equation is reduced to a set of coupled ordinary differential equations and some exact solutions corresponding to cosmological backgrounds and gravitational waves are computed in terms of hypergeometric functions. By passing, the Klein Gordon equation in this background field is discussed.

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