  In the innermost region of the advective accretion disk orbiting a black hole
of high spin, the inertia of heat stored in the accreting gas is comparable to
that of the gas rest mass itself. Accounting for this effect, we derive
additional terms in the disk structure equations, and show that the heat
inertia plays a significant role in the global energy conservation and dynamics
of accretion in the relativistic advective disks.
