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THE TWO-DIMENSIONAL ANALOGUE OF GENERAL RELATIVITY

José P. S. Lemos, Paulo M. Sá

Abstract

General Relativity in three or more dimensions can be obtained by taking the limit ω → ∞ in the Brans-Dicke theory. In two dimensions General Relativity is an unacceptable theory. We show that the twodimensional closest analogue of General Relativity is a theory that also arises in the limit ω → ∞ of the two-dimensional Brans-Dicke theory. 1

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Key concepts: Physics, General relativity, Theory of relativity, Limit (mathematics), Omega, Four-force, Theoretical physics, Mathematical physics