Schwarzschild-Levi-Civita black hole

Abstract

Inspired by the geometry of the Ernst black hole which interpolates the static spherically symmetric Schwarzschild black hole and the static axially symmetric magnetic Melvin spacetime, in this paper, we aim to present a solution to Einstein's field equation in vacuum to interpolate the Schwarzschild black hole and the Levi-Civita spacetime. Hence, we shall call the solution the Schwarzschild-Levi-Civita black hole. Effectively the solution is a two-parameter non-asymptotically flat black hole that is static, axially symmetric, and singular in its axis of symmetry.