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Hamiltonian thermodynamics of black holes in generic 2D dilaton gravity

Hamiltonian thermodynamics of black holes in generic 2D dilaton gravity

We consider the Hamiltonian mechanics and thermodynamics of an eternal black hole in a box of fixed radius and temperature in generic 2D dilaton gravity. Imposing boundary conditions analogous to those used by Louko and Whiting for spherically symmetric gravity, we find that the reduced Hamiltonian generically takes the form …