Contents

p − 1 )(y∂ y + z∂z) Table 11.4 contd.(23.2) F ∂x − [(m 2 − n 2 − 1+2(a 2 − b 2 )) McIntosh (1978a)(y∂y + z∂z)/2] − n(y∂y − z∂z)(23.3) F ∂x +(nm − αβ)(y∂y + z∂z) − n(y∂y − z∂z) McIntosh (1978a)(23.4) F A[∂w +( 3 4 + b2 − a 2 − 1 2 m2 )(y∂y + z∂z)] McIntosh (1978a)+ z∂y − y∂z(23.6), F =e −u F 2∂x +(2z + y)∂y + z∂z McIntosh (1978a)(23.6), F = u −2p F t∂t + x∂x − 1 2 z∂ z +(q − Collins (1991)(23.7) 4 )(y∂ F ∂x +4y∂y − z∂z Wils (1991)(23.8) F ∂x + 4(2 − a)y∂y − 2(1 + a)z∂z Wils (1991)(23.11) F ∂t + ∂x + y∂y Carot and Sintes (1997)(23.14), T =e at [§23.2] F (1 − n 2 )∂t + ma[(1 − n)y∂y +(1+n)z∂z](23.14), P =1, F 2t∂t +2x∂x +(2m(1 − c)+1− n)y∂y A special case is inT = t, G = x c +(2m(1 − c)+1+n)z∂z Carot and Sintes (1997)(23.23) F 2∂t + b(y∂y +3z∂z(23.32), ε =0 F ∂t Senovilla and Vera (1998)(23.36) F ∂x +(c − 1 2 a)(y∂ y + z∂z)+bl(y∂y − z∂z) Senovilla and Vera (2001)(23.38), (i)/(ii), c2 =0, F [t +(1− λ)x]∂t +[x +(1− λ)t]∂x Senovilla and Vera (1997)λ =4b/(2b +2q +1) +[b(λ − 2) + 1]y∂y +[(b − 1)λ +1]z∂z(23.46) F 2∂t +(2q − b)(y∂y + z∂z) − (y∂y − z∂z) Koutras (see Haager and Mars (1998))(23.51), δ =0 F 6t∂t +6x∂x +(5c + 16)y∂y +8z∂z Wils (1991), Koutras (1992b)(28.17) V 2r∂r + u∂u + ζ∂ζ + ¯ζ∂¯ζ Halford and Kerr (1980), Lun et al. (1988)(28.25), C-metric V r∂r +2u∂u +2ζ∂ζ +2¯ζ∂¯ζ Godfrey (1972)(28.26) V r∂r +2u∂u − ζ∂ζ − ¯ζ∂¯ζ Halford and Kerr (1980), Lun et al. (1988)(28.72) R r∂r + u∂u Koutras (1992b)(29.46)–(29.47), l =0 V r∂r +2u∂u − ζ∂ζ − ¯ζ∂¯ζ Halford and Kerr (1980), Lun et al. (1988)(35.77) F 2t∂t +2x∂x +(1+a)(∂y + ∂z)+b(∂y − ∂z) Mars and Wolf (1997)