Construction of black hole solutions and elucidation of its mathematical structure

A black hole is a region of the spacetime where gravity is so strong that any particles and even light entering the region never can escape from it and is described by exact solutions to the Einstein equation within the framework of general relativity. We clarify the mathematical structure of such a black hole and attempted to find a new black hole solution and unknown black hole physics by developing new solution-generation techniques.

Uniqueness for higher dimensional black holes
Stability analysis of black hole spacetimes
Generation of black hole solutions
Gravitational waves described by gravitational solitons