Non-Relativistic Spacetimes with Cosmological Constant

Details Non-Relativistic Spacetimes with Cosmological Constant Non-Relativistic Spacetimes with Cosmological Constant

1998-01-29

arxiv.org/abs/gr-qc/9801100v2

Class.Quant.Grav. 16 (1999) 495-506

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, RevTeX, no figures, major changes in the presentation which includes a new title and a whole new emphasis, version t

Scientific paper

10.1088/0264-9381/16/2/013

Recent data on supernovae favor high values of the cosmological constant. Spacetimes with a cosmological constant have non-relativistic kinematics quite different from Galilean kinematics. De Sitter spacetimes, vacuum solutions of Einstein's equations with a cosmological constant, reduce in the non-relativistic limit to Newton-Hooke spacetimes, which are non-metric homogeneous spacetimes with non-vanishing curvature. The whole non-relativistic kinematics would then be modified, with possible consequences to cosmology, and in particular to the missing-mass problem.

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