The gravitational perturbations of the Kerr black hole. I - The perturbations in the quantities which vanish in the stationary state. II - The perturbations in the quantities which are finite in the stationary state

Details The gravitational perturbations of the Kerr black hole. I - The perturbations in the quantities which vanish in the stationary state. II - The perturbations in the quantities which are finite in the stationary state The gravitational perturbations of the Kerr black hole. I - The perturbations in the quantities which vanish in the stationary state. II - The perturbations in the quantities which are finite in the stationary state

Jan 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978rspsa.358..421c&link_type=abstract

Royal Society (London), Proceedings, Series A - Mathematical and Physical Sciences, vol. 358, no. 1695, Jan. 16, 1978, p. 421-43

Astronomy and Astrophysics

Astrophysics

12

Astrophysics, Black Holes (Astronomy), Gravitational Fields, Perturbation Theory, Maxwell Equation, Schwarzschild Metric, Space-Time Functions

Scientific paper

The reported investigation is concerned with the integration of the linearized Newman-Penrose equations which govern the gravitational perturbations of the Kerr black hole. Attention is given to the Kerr geometry, the Newman-Penrose equations that are already linearized, the reduction of the equations and their solutions, the Teukolsky-Starobinsky identities, the equations governing the perturbations of the Kerr-Newman black hole, the representation of the perturbations in the basic tetrad by a matrix, the perturbations in the metric coefficients, the linearization of the Bianchi identities, the linearization of the commutation relations, and the solution of the integrability conditions.

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