Abstract
The first and second laws of black hole thermodynamics are verified to emerge from a generic semiclassical theory of gravity for which a Hamiltonian formulation can be defined. The first law is established in stationary spacetimes, and the second law is established in the here defined ‘piecewise stationary’ spacetimes. Black hole entropy is defined in the Noether charge approach, and the entropy for the matter in its exterior is the von Neumann entropy of the quantum fields. These results strongly support the interpretation of black hole entropy as an account of the information that is hidden behind the horizon.
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