frame around the origin, where the rotation is confined to the two-dimensional
submanifold E : {t = const, r = const, 0, 0}. They are separated into the three
groups:
 (i) Scalars pem
 {jh, hm, h7}, which have the form

 'em = constY'em(0, ), (5-40)

 (ii) Vectors qm
 {hto, h4, hto, hm }, which have two distinct types with opposite parity

 Teven) constYtm;a, parity (-), (5-41)

 todd) constcaby parity (-)+1, (5-42)

 (iii) Tensors mab
 {h, h, h}, which consist of three fundamental types of tensor

 (scalar) consta OY m, (5-43)

 (even) constYsm;ai,, parity (- (5-44)

 (i0dd) COconst (EcYam. Y 1) parity (-+,1 (5-45)

where the labels a and b run over 0 and Q, and the semicolon denotes covariant
differentiation, and ara represents the metric tensor on the two-dimensional sphere
E, defined by

 Jab 9/r2, (5-46)

and ea is the alternating tensor on E, defined by

 J ab 6ba = Vdet(), if a(b7
 (5-47)
 eb = O, if a = b