Gravitational perturbations of type-D vacuum space-times with cosmological constant.

Mathematics – Logic

Scientific paper

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Cosmological Constant: Gravitation Theory

Scientific paper

It is shown that in a type-D vacuum space-time with cosmological constant, the maximal spin weight components of the Weyl spinor perturbations, which obey separable decoupled equations, satisfy certain differential relations that are equivalent to the Teukolsky-Starobinsky identities fulfilled by the separated functions. It is also shown that the real and imaginary parts of the Starobinsky constants can be obtained from these relations.

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