Manifold dimension of a causal set: Tests in conformally flat spacetimes

Details Manifold dimension of a causal set: Tests in conformally flat spacetimes Manifold dimension of a causal set: Tests in conformally flat spacetimes

2002-07-26

arxiv.org/abs/gr-qc/0207103v2

Phys.Rev. D67 (2003) 024034

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, 8 figures

Scientific paper

10.1103/PhysRevD.67.024034

This paper describes an approach that uses flat-spacetime dimension estimators to estimate the manifold dimension of causal sets that can be faithfully embedded into curved spacetimes. The approach is invariant under coarse graining and can be implemented independently of any specific curved spacetime. Results are given based on causal sets generated by random sprinklings into conformally flat spacetimes in 2, 3, and 4 dimensions, as well as one generated by a percolation dynamics.

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