MC 6486

## Speaker

Yongmin
Cho

## Title

Abelian Decomposition of Einstein’s Theory

## Abstract

We study the restricted gravity obtained by the Abelian projection of Einstein's theory which describes the core dynamics of Einstein's theory. We discuss the solutions of the restricted gravity which includes the cosmic string and the Einstein-Rosen-Bondi gravitational plane wave. An unexpected result of our analysis is that the Schwartzschild blackhole could have hidden $\pi_2(S^2)$ topology associated to the non-trivial topology of tetrad, which implies that there could exist two different connections for blackhole and anti-blackhole which have opposite topology. We propose that this could be tested experimentally, by studying the motion of a spinor source near the blackhole. We discuss the physical implications of our results.