The Two-Dimensional Analogue of General Relativity

Abstract

General Relativity in three or more dimensions can be obtained by taking the limit $\omega \to \infty$ in the Brans-Dicke theory. In two dimensions General Relativity is an unacceptable theory. We show that the two-dimensional closest analogue of General Relativity is a theory that also arises in the limit $\omega \to \infty$ of the two-dimensional Brans-Dicke theory.

8 pages, LaTeX, preprint DF/IST-17.93

References in corpus (6)

• Geometry of the 2+1 Black Hole
• The Causal Structure of Two-Dimensional Spacetimes
• Non-Singularity of the Exact Two-Dimensional String Black Hole
• Cosmological Models in Two Spacetime Dimensions
• Gravitation \& Cosmology in $(1+1)$-dimensional Dilaton Gravity
• Matching Conditions and Gravitational Collapse in Two-Dimensional Gravity

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• The classical solutions of two-dimensional gravity
• The Three-Dimensional BTZ Black Hole as a Cylindrical System in Four-Dimensional General Relativity
• On Black Holes in the Theory of Dilatonic Gravity Coupled to a Scalar Field
• Two-dimensional higher-derivative gravity and conformal transformations
• Exact Black Hole and Cosmological Solutions in a Two-Dimensional Dilaton-Spectator Theory of Gravity
• Would Two Dimensions be World Enough for Spacetime?
• Does a relativistic metric generalization of Newtonian gravity exist in 2+1 dimensions?
• On self-gravitating kinks in two-dimensional pseudo-riemannian universes
• A new 2D formulation of modified General Relativity
• One-Dimensional Relativistic Self-Gravitating Systems
• String-Motivated Model
• Numerical Solutions of Dilaton Gravity and the Semi-Classical Singularity