Coupling a Point-Like Mass to Quantum Gravity with Causal Dynamical Triangulations

Understand

We present a possibility of coupling a point-like, non-singular, mass distribution to four-dimensional quantum gravity in the nonperturbative setting of causal dynamical triangulations (CDT).

• In order to provide a point of comparison for the classical limit of the matter-coupled CDT model, we derive the spatial volume profile of the Euclidean Schwarzschild-de Sitter space glued to an interior matter solution.
• The volume profile is calculated with respect to a specific proper-time foliation matching the global time slicing present in CDT.
• It deviates in a characteristic manner from that of the pure-gravity model.