On the gravitational energy of the Hawking wormhole

The surface energy for a conformally flat space-time which represents the Hawking wormhole in spherical (static) Rindler coordinates is computed using the Hawking-Hunter formalism for nonasymptotically flat space-times. The physical gravitational Hamiltonian is proportional to the Rindler acceleration g of the hyperbolic observer and is finite on the event horizon xi = b (b - the Planck length, xi - the Minkowski interval). The corresponding temperature of the system of particles associated to the massless scalar field psi = 1 - b(2)/xi(2), coupled conformally to Einstein's equations, is given by the Davies-Unruh temperature up to a constant factor of order unity.