(a) Use the definitions in Section 15.7 to show that the Fermi–Walker transport law eqn (16.116) can

(a) Use the
definitions in Section 15.7 to show that the Fermi–Walker transport law eqn
(16.116) can be written as eqn (16.117).

(b) Show that the
definition gˆ 0 = ˆ f0 gives a dgˆ 0/ds that is a solution to the Fermi–Walker
transport law in eqn (16.116).

(c) Show that the
dyadic defined in eqn (16.118) has the property that b· = −·b for any
fourvector b. Show that d(gˆ µ · gˆ ν )/ds = 0 follows. Show that the
assumed initial condition that the gˆ µ are equal to the ˆ fµ at β=0 then
implies that gˆ µ · gˆ ν = gµν for all β.