Black hole in discrete gravity

Abstract

Abstract We study the metric corresponding to a three-dimensional coset space SO(4)/SO(3) in the lattice setting. With the use of three integers $$n_1, n_2$$ n 1 , n 2 , and $$n_3$$ n 3 , and a length scale, $$l_{\mu }$$ l μ , the continuous metric is transformed into a discrete space. The numerical outcomes are compared with the continuous ones. The singularity of the black hole is explored and different domains are studied.