74 5 Symmetric Second Rank Tensors
The dependence ofAμνand its inverse onQare
Aμν=Q^2 /^3[
δμν+(
Q−^2 − 1
)
uμuν]
, A−μν^1 =Q−^2 /^3[
δμν+(
Q^2 − 1
)
uμuν]
.
(5.58)
Prolate and oblate ellipsoids correspond toQ>1 andQ<1, respectively. Appli-
cations of the volume conserving affine transformation to the interaction potential
between perfectly oriented ellipsoidal particles and to the anisotropy of the viscosity,
are presented in Sect.16.4.2.