We present a separable master equation governing Rarita–Schwinger spin‐ (3)/(2) fields, valid in the whole class of type D vacuum backgrounds.

1.
B.
Carter
,
Phys. Rev.
174
,
1559
(
1968
).
2.
S.
Teukolsky
,
Astrophys. J.
185
,
635
(
1973
).
3.
R. H.
Boyer
and
R. W.
Lindquist
,
J. Math. Phys.
8
,
265
(
1967
).
4.
W.
Kinnersley
,
J. Math. Phys.
10
,
1195
(
1969
).
5.
R.
Güven
,
Phys. Rev. D
22
,
2327
(
1980
).
6.
D. Z.
Freedman
,
P.
van Nieuwenhuizen
, and
S.
Ferrara
,
Phys. Rev. D
13
,
3214
(
1976
).
7.
S.
Deser
and
B.
Zumino
,
Phys. Lett. B
62
,
335
(
1976
).
8.
N. Kamran and R. G. McLenaghan, to appear in The Ivor Robinson Festschift, edited by A. Trautman and W. Rindler.
9.
R.
Debever
,
N.
Kamran
, and
R. G.
McLenaghan
,
Phys. Lett. A
93
,
399
(
1983
).
10.
R.
Debever
,
N.
Kamran
, and
R. G.
McLenaghan
,
Bull. Cl. Sci. Acad. R. Belg.
68
,
592
(
1982
).
11.
R.
Debever
,
N.
Kamran
, and
R. G.
McLenaghan
,
J. Math. Phys.
25
,
1955
(
1984
).
12.
R.
Debever
,
N.
Kamran
, and
R. G.
McLenaghan
,
Ann. Inst. H. Poincaré
41
,
2
(
1984
).
13.
N.
Kamran
and
R. G.
McLenaghan
,
Lett. Math. Phys.
7
,
381
(
1983
).
14.
N.
Kamran
and
R. G.
McLenaghan
,
J. Math. Phys.
25
,
1019
(
1984
).
15.
S.
Chandrasekhar
,
Proc. R. Soc. London Ser. A
349
,
571
(
1976
).
16.
B. Carter and R. G. McLenaghan, in Proceedings of the Second Marcel Grossman Meeting on Recent Developments of General Relativity Trieste, 1979, edited by R. Rufflni (North‐Holland, Amsterdam, 1982).
17.
R.
Debever
,
Cah. Phys.
168–169
,
303
(
1964
).
18.
Reference 17.
19.
R.
Geroch
,
A.
Held
, and
R.
Penrose
,
J. Math. Phys.
14
,
874
(
1973
).
20.
J.
Stewart
and
M.
Walker
,
Proc. R. Soc. London Ser. A
341
,
49
(
1974
).
21.
J. M.
Cohen
and
L. S.
Kegeles
,
Phys. Lett. A
54
,
5
(
1975
).
22.
P. Moon and D. E. Spencer, Field Theory Handbook (Springer, New York, 1971), 2nd ed., p. 96.
23.
Reference 11, Eq. (4.2).
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