Cosmological constant from quantum spacetime
Physical Review D - Particles, Fields, Gravitation and Cosmology
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© 2015 American Physical Society.We show that a hypothesis that spacetime is quantum with coordinate algebra [xi,t]=λPxi, and spherical symmetry under rotations of the xi, essentially requires in the classical limit that the spacetime metric is the Bertotti-Robinson metric, i.e., a solution of Einstein's equations with a cosmological constant and a non-null electromagnetic field. Our arguments do not give the value of the cosmological constant or the Maxwell field strength, but they cannot both be zero. We also describe the quantum geometry and the full moduli space of metrics that can emerge as classical limits from this algebra.
AuthorsMajid, S; Tao, WQ
- Pure Mathematics