Killing spinors and spin-? fields in type-D spacetimes

Details Killing spinors and spin-? fields in type-D spacetimes Killing spinors and spin-? fields in type-D spacetimes

Mar 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997cqgra..14..795s&link_type=abstract

Classical and Quantum Gravity, Volume 14, Issue 3, pp. 795-804 (1997).

Mathematics

Logic

2

Scientific paper

It is shown that if the background spacetime is a type-D solution of the Einstein vacuum-field equations with cosmological constant or of the Einstein - Maxwell field equations without cosmological constant, an operator can be constructed that maps a solution of the Rarita - Schwinger equation into another solution. In the case of the spin-0264-9381/14/3/020/img2 fields in a type-D electrovac spacetime, we show that the maximal spin weight components, 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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