Routing protocol

Quantum gravity

Gravitational collapse

Physics

Spacetime

Computer network

Mathematics

Mathematical physics

Black hole (networking)

Link-state routing protocol

Schwarzschild radius

White hole

General relativity

Schwarzschild metric

Singularity

Geometry

Theoretical physics

Computer science

Quantum mechanics

Routing (electronic design automation)

Deriving the Schwarzschild solution

Loop quantum gravity

Classical mechanics

Minkowski space

Quantum

Kerr metric

Physics Letters B

We present an effective theory to describe the quantization of spherically symmetric vacuum in loop quantum gravity. We include anomaly-free holonomy corrections through a canonical transformation of the Hamiltonian of general relativity, such that the modified constraint algebra closes. The system is then provided with a fully covariant and unambigous geometric description, independent of the gauge choice on the phase space. The resulting spacetime corresponds to a singularity-free (black-hole/white-hole) interior and two asymptotically flat exterior regions of equal mass. The interior region contains a minimal smooth spacelike surface that replaces the Schwarzschild singularity. We find the global causal structure and the maximal analytical extension. Both Minkowski and Schwarzschild spacetimes are directly recovered as particular limits of the model.

An effective model for the quantum Schwarzschild black hole