One might therefore consider the new equations as the Dirac-, Klein-Gordon- or Schrödinger-forms of the General Theory of Relativity.
Applying the new METRIC or Einstein-Field-Compatible Klein-Gordon equation to the Schwarzschild solution gives solutions similar to the boding states of a hydrogen atom.
Thus, the quantized Schwarzschild-object looks like a Quantum-Gravity-Atom (c.f. cover picture of this book).
N. Schwarzer, “How Einstein gives Dirac, Klein-Gordon and Schrödinger”, www.amazon.com/dp/B071K2Y4V2