  We calculate the entanglement entropy between two (maximally-extended)
spacetime regions of static black hole, seperated by horizon. As a first case,
we consider the Schwarzschild black hole, and then we extend the calculations
to the charged Reissner- Nordstrom and Schwarzschild-de Sitter black holes with
more than one horizon. The case for static and spherically-symmetric solution
to the more general F (R) gravity is also considered. The calculation of the
entanglement entropy is performed using the replica trick by obtaining the
explicit form of the metric which corresponds to the replica spacetime for each
black hole under consideration. The calculation of static and
spherically-symmetric black holes result in the entanglement entropy that
matches the Bekenstein-Hawking area law entropy.
