The rod as you describe it could not exist as a stable object, unless I’m missing something. Why would it not collapse under its own gravity?
There are other examples of black holes that lack spherical symmetry. For instance, rotating black holes, described by the Kerr metric, are axially symmetric but not spherically symmetric. Spherical symmetry is not generic; it is a special case.
The rod as you describe it could not exist as a stable object, unless I’m missing something. Why would it not collapse under its own gravity?
There are other examples of black holes that lack spherical symmetry. For instance, rotating black holes, described by the Kerr metric, are axially symmetric but not spherically symmetric. Spherical symmetry is not generic; it is a special case.