Phys. Rev. D 67, 024023 (2003) [5 pages]Does a relativistic metric generalization of Newtonian gravity exist in 2+1 dimensions?Received 23 July 2002; published 21 January 2003 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. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.67.024023
DOI:
10.1103/PhysRevD.67.024023
PACS:
04.60.Kz, 04.25.Nx, 04.50.+h
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