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What (who) is (2 1)-dimensional topological gravity - definition

Higher dimensional Einstein gravity; Higher-order gravity

(2+1)-dimensional topological gravity

GENERAL RELATIVITY IN 2+1 DIMENSIONS

2+1D topological gravity; (2+1)–dimensional topological gravity

In two spatial and one time dimensions, general relativity turns out to have no propagating gravitational degrees of freedom. In fact, it can be shown that in a vacuum, spacetime will always be locally flat (or de Sitter or anti-de Sitter depending upon the cosmological constant).

https://en.wikipedia.org/wiki/(2+1)-dimensional_topological_gravity

Higher-dimensional Einstein gravity

Higher-dimensional Einstein gravity is any of various physical theories that attempt to generalise to higher dimensions various results of the well established theory of standard (four-dimensional) Einstein gravity, that is, general relativity. This attempt at generalisation has been strongly influenced in recent decades by string theory.

https://en.wikipedia.org/wiki/Higher-dimensional_Einstein_gravity

1-2-3

WIKIMEDIA DISAMBIGUATION PAGE

1, 2, 3; 1-2-3 (disambiguation); 1 2 3; One two three; 1. 2. 3.; 1. 2. 3...; 1. ... 2. ... 3. ...; 123 (song); 1-2-3 (song); 1-2-3 (album); 1. 2. 3; I-II-III; 1. 2. 3..; 1, 2, 3 (song); 1, 2, 3! (song); 1, 2, 3!; 1,2,3; 1 2 3 (song); 1. 2. 3. ...; 1, 2, 3 (disambiguation)

Lotus 1-2-3

Wikipedia

Higher-dimensional Einstein gravity

Higher-dimensional Einstein gravity is any of various physical theories that attempt to generalise to higher dimensions various results of the well established theory of standard (four-dimensional) Einstein gravity, that is, general relativity. This attempt at generalisation has been strongly influenced in recent decades by string theory.

At present, this work can probably be most fairly described as extended theoretical speculation. Currently, it has no direct observational and experimental support, in contrast to four-dimensional general relativity. However, this theoretical work has led to the possibility of proving the existence of extra dimensions. This is best demonstrated by the proof of Harvey Reall and Roberto Emparan that there is a 'black ring' solution in 5 dimensions. If such a 'black ring' could be produced in a particle accelerator such as the Large Hadron Collider, this would provide the evidence that higher dimensions exist.

https://en.wikipedia.org/wiki/Higher-dimensional Einstein gravity