  The surface energy for a conformally flat spacetime which represents the
Hawking wormhole in spherical (static) Rindler coordinates is computed using
the Hawking - Hunter formalism for non asymptotically - flat spacetimes.
  The physical gravitational Hamiltonian is proportional to the Rindler
acceleration g of the hyperbolic observer and is finite on the event horizon
ksi = b (b-the Planck length, ksi - the Minkowski interval). The corresponding
temperature of the system of particles associated to the massless scalar field
Psi, coupled conformally to Einstein's equations, is given by the Davies -
Unruh temperature up to a constant factor of order unity.
