Geodesics in the negative-mass Schwarzschild spacetime

Abstract

The Schwarzschild spacetime is well-known to be a black hole geometry. This study investigates whether the negative-mass Schwarzschild spacetime is also a black hole geometry by analyzing geodesics in it. Based on the behavior of these geodesics near the singularity, at the Schwarzschild radius, and towards infinity, the said spacetime is concluded to not be a black hole geometry.