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

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

2010-02-24

arxiv.org/abs/1002.4618v2

Class.Quant.Grav.27:185025,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

26 pages, 9 figures, updated published version

Scientific paper

10.1088/0264-9381/27/18/185025

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. The appearance of coordinate caustics and the compactness of the mass distribution in lattice units put an upper bound on the total mass for which these calculations are expected to be valid. We also discuss some of the implementation details for numerically measuring the expectation value of the volume profiles in the framework of CDT when coupled appropriately to the matter source.

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