  The present paper deals with a reformulation of the derivation of Hawking
temperature for static and stationary black holes. In contrast to the
conventional approach, where the covariant form of the metrics are used, we use
the manifestly non-covariant Jacobi metric for the black holes in question. In
the latter, a restricted form of Hamilton-Jacobi variational principle is
exploited where the energy of the particle (pertaining to Hawking radiation)
appears explicitly in the metric as a constant parameter. Our analysis shows
that, as far as computation of Hawking temperature (for stationary black holes)
is concerned, the Jacobi metric framework is more streamlined and yields the
result with less amount of complications, (as for example, considerations of
positive and negative energy modes and signature change of the metric across
horizon do not play any direct role in the present analysis).
