  A Liouville formalism was proposed many years ago to account for the black
hole entropy. It was recently updated to connect thermodynamics of general
black holes, in particular the Hawking temperature, to two-dimensional
Liouville theory. This relies on the dimensional reduction to two-dimensional
black hole metric. The relevant dilaton gravity model can be rewritten as a
Liouville-like theory. We refine the method and give general formulas for the
corresponding scalar and energy-momentum tensors in Liouville theory. This
enables us to read off the black hole temperature using a relation which was
found about three decades ago. Then the range of application is extended to
include nonspherical black holes such as neutral and charged black rings,
topological black hole and the case coupled to a scalar field. As for the
entropy, following previous authors, we invoke the Lagrangian approach to
central charge by Cadoni and then use the Cardy formula. The general relevant
parameters are also given. This approach is more advantageous than the usual
Hamiltonian approach which was used by the old Liouville formalism for black
hole entropy.
