Quantum energy density inside a Schwarzschild black hole

Isotropy near the singularity, the trace anomaly, and conservation of energy-momentum lead to a complete description of the quantum energy-momentum inside a Schwarzschild black hole. Near the singularity, it consists of Hawking radiation and negative vacuum energy in the ratio \(3:-2\), diverging as \(\rho \propto r^{-6}\) (Hamilton 2018).


The diverging quantum energy-momentum serves merely to exacerbate the singularity. A full theory of quantum gravity is still needed.

  The Schwarzschild singularity