THE DIRAC-EQUATION IN KERR SPACETIME, SPHEROIDAL COORDINATES AND THE MIT BAG MODEL OF HADRONS

The Dirac equation in Kerr spacetime is separated using the rotating t etrad formalism. This allows solutions of the Dirac equation, in flat spacetime, written in oblate and prolate spheroidal coordinates to be extracted. The usual MIT bag boundary condition, -igamma(mu)n(nu)PSI = PSI is then found to be incompatible with a non-vanishing separated w avefunction except in the spherical limit. However, it is shown that a n alternative boundary condition exists that is physically motivated a nd allows for a non-trivial solution.