Springer Online Journal Archives 1860-2000
Abstract The vacuum line element inside an infinitely long rotating hollow cylinder is the usual flat space line element. It is fitted in a most general way to the general cylindrical vacuum field outside at the singular hypersurfaceR 0=const, representing the infinitely thin hollow cylinder. With the use of the jump conditions atR 0=const the surface densities τ μ ν , of which the energy-momentum-stress tensor τ μ ν of the shell consists, are calculated. The physical properties of the cylinder, as derived from the eigenvalues and -vectors of τ μ ν , and the generated gravitational field are discussed in full detail.
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