Routing (electronic design automation)

Quantum mechanics

Theoretical physics

White hole

Schwarzschild radius

Spacetime

Mathematical physics

Kerr metric

Quantum gravity

Singularity

Schwarzschild geodesics

Computer science

Loop quantum gravity

Classical mechanics

Minkowski space

Hamiltonian constraint

Computer network

Routing protocol

Physics

Mathematics

Link-state routing protocol

Schwarzschild metric

Deriving the Schwarzschild solution

Geometry

Quantum

Black hole (networking)

General relativity

Gravitational collapse

Physics Letters B

We present an effective theory to describe the quantization of spherically symmetric vacuum motivated by loop quantum gravity. We include anomaly-free holonomy corrections through a canonical transformation and a linear combination of constraints of general relativity, such that the modified constraint algebra closes. The system is then provided with a fully covariant and unambiguous 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