Question: What is space represented by in the theory of general relativity?
About the article "General relativity", section "Quantum gravity".

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The theory of relativity, or simply relativity in physics, usually encompasses two theories by Albert Einstein: special relativity and general relativity.
(The word "relativity" can also be used in the context of an older theory, that of Galilean invariance.
)Concepts introduced by the theories of relativity include: Measurements of various quantities are "relative" to the velocities of observers.
In particular, space and time can dilate.
Spacetime: space and time should be considered together and in relation to each other.
The speed of light is nonetheless invariant, the same for all observers.
The term "theory of relativity" was based on the expression "relative theory" () used by Max Planck in 1906, who emphasized how the theory uses the principle of relativity.
In the discussion section of the same paper Alfred Bucherer used for the first time the expression "theory of relativity" (). 
[[File:BH LMC.png|270px|right|thumb|Gravitational distortions caused by a black hole in front of the Large Magellanic Cloud (artistic interpretation Provided by: Black hole 1905: Albert Einstein Proposes Special theory of Relativity 1905: Albert Einstein's special theory of relativity shows that space and time are relative, not absolute, and that time is actually a fourth dimension within what he calls "space-time."
1916: Einstein discovers that space-time is curved.
1920s: Heisenberg, Schrödinger, and Dirac reformulate mechanics into Quantum Mechanics, based on the Uncertainty Principle.
1922: Kaluza–Klein theory combined Einstein's General Relativity and Maxwell's electromagnetic field theory in 5 dimensions.
1937: Mathematician Kurt Gödel proposes that the universe itself may be a time machine.
1949: Gödel demonstrates mathematically that pathways through time are consistent with general relativity (see Gödel metric).
1967: U.S. physicist John Wheeler invents the name "black hole" to describe singularities in space and time.  
In mathematical physics, de Sitter invariant special relativity is the speculative idea that the fundamental symmetry group of spacetime is the indefinite orthogonal group SO(4,1), that of de Sitter space.
In the standard theory of general relativity, de Sitter space is a highly symmetrical special vacuum solution, which requires a cosmological constant or the stress–energy of a constant scalar field to sustain.
The idea of de Sitter invariant relativity is to require that the laws of physics are not fundamentally invariant under the Poincaré group of special relativity, but under the symmetry group of de Sitter space instead.
With this assumption, empty space automatically has de Sitter symmetry, and what would normally be called the cosmological constant in general relativity becomes a fundamental dimensional parameter describing the symmetry structure of spacetime.
First proposed by Luigi Fantappiè in 1954, the theory remained obscure until it was rediscovered in 1968 by Henri Bacry and Jean-Marc Lévy-Leblond.
In 1972, Freeman Dyson popularized it as a hypothetical road by which mathematicians could have guessed part of the structure of general relativity before it was discovered.
The discovery of the accelerating expansion of the universe has led to a revival of interest in de Sitter invariant theories, in conjunction with other speculative proposals for new physics, like doubly special relativity. 
In physics, relativistic chaos is the application of chaos theory to dynamical systems described primarily by general relativity, and also special relativity.  
 in General Relativity.
In General Relativity, an object in free fall is subject to no force and is an inertial body moving along a geodesic.
Far away from any sources of space time curvature, where spacetime is flat, the Newtonian theory of free fall agrees with General Relativity but otherwise the two disagree.
The experimental observation that all objects in free fall accelerate at the same rate, as noted by Galileo and then embodied in Newton's theory as the equality of gravitational and inertial masses, and later confirmed to high accuracy by modern forms of the Eötvös experiment, is the basis of the Equivalence Principle, from which basis Einstein's theory of general relativity initially took off.