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We present our derivations for Kerr-de Sitter metric in a proper comoving coordinate
system. It asymptotically approaches to the de Sitter metric in Robertson{Walker form.
This has been done by considering the stationary axially-symmetric space{time in which
motion of particle is integrable. That is the Hamilton-Jacobi and Klein-Gordon equa-
tions are separable. In this form it is asymptotically consistent with comoving frame.
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