Teukolsky-like equations in a non-vacuum axisymmetric type D spacetime
Ya Guo,
Hiroaki Nakajima,
Wenbin Lin
Abstract:We study an axisymmetric metric satisfying the Petrov type D property with some additional
ansatze, but without assuming the vacuum condition. We find that our metric in turn becomes
conformal to the Kerr metric deformed by one function of the radial coordinate. We then study the
gravitational-wave equations on this background metric in the case that the conformal factor is
unity. We find that under an appropriate gauge condition, the homogeneous wave equations admit the
separation of the variables, … Show more
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