Does a relativistic metric generalization of Newtonian gravity exist in 2+1 dimensions?

Details Does a relativistic metric generalization of Newtonian gravity exist in 2+1 dimensions? Does a relativistic metric generalization of Newtonian gravity exist in 2+1 dimensions?

2002-07-18

arxiv.org/abs/gr-qc/0207070v2

Phys.Rev. D67 (2003) 024023

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, no figures, Revtex4. Some discussions on the physical nature of the interior solution and on the omega->infinity limi

Scientific paper

10.1103/PhysRevD.67.024023

It is shown that, contrary to previous claims, a scalar tensor theory of Brans-Dicke type provides a relativistic generalization of Newtonian gravity in 2+1 dimensions. The theory is metric and test particles follow the space-time geodesics. The static isotropic solution is studied in vacuum and in regions filled with an incompressible perfect fluid. It is shown that the solutions can be consistently matched at the matter vacuum interface, and that the Newtonian behavior is recovered in the weak field regime.

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