  In 1985 Thorne and Hartle used the Landau-Lifshitz pseudotensor to
demonstrate the tidal heating and angular momentum flux for a black hole. Later
in 2004, Poisson used the gravitational perturbation method to study a black
hole and obtained the same result. Poisson proposed a new idea, that the mass
quardupole moment and current quadrupole moment can be written as the rate of
change of the tidal gravitational field. Inspired by these two papers, we use
the method of Thorne and Hartle to study other classical pseudotensors:
Einstein, Bergmann-Thomson, Papapetrou and Weinberg. Moreover, we also
constructed a general expression pseudotensor. We find that for (i) tidal
heating: other classical pseudotensors give the same result as the
Landau-Lifshitz contribution. (ii) angular momentum flux: except for the
Einstein pseudotensor, all of them give the same value as the Landau-Lifshitz
pseudotensor.
