The two-dimensional analogue of general relativity

1993/10/29 by José P S Lemos, José P. S. Lemos, Paulo M. Sá +1 · 21 citations
Physics and Astronomy · #Absolute time and space #Black Holes and Theoretical Physics #Four-force #General relativity #Introduction to the mathematics of general relativity #Limit (mathematics) #Mathematics of general relativity #Noncommutative and Quantum Gravity Theories #Relativity and Gravitational Theory #Special relativity #Theory of relativity #gr-qc

paper · pdf · doi:10.1088/0264-9381/11/1/003

published in Classical and Quantum Gravity 11(1), L11-L14 (IOP Publishing) · 8 pages, LaTeX, preprint DF/IST-17.93

arxiv created 1993/10/29 · openalex publication_date 1994/01/01 · arxiv updated 2010/04/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

General relativity in three or more dimensions can be obtained by taking the limit 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 of the two-dimensional Brans--Dicke theory.

Citations

• Gravitation and cosmology in (1+1)-dimensional dilaton gravity
• Matching conditions and gravitational collapse in two-dimensional gravity
• Nonsingularity of the exact two-dimensional string black hole
• The causal structure of two-dimensional spacetimes
• String theory and black holes
• Geometry of the 2+1 Black Hole

Cited by

• Two-dimensional black holes and planar general relativity
• Exact black hole and cosmological solutions in a two-dimensional dilaton-spectator theory of gravity
• Two-dimensional higher-derivative gravity and conformal transformations