Higher-dimensional Einstein gravity

Higher-dimensional Einstein gravity is any of various physical theories that attempt to generalize to higher dimensions various results of the standard (four-dimensional) Albert Einstein's gravitational theory, that is, general relativity. This attempt at generalization has been strongly influenced in recent decades by string theory. These extensions of general relativity are central to many modern theories of fundamental physics, including string theory, M-theory, and brane world scenarios. These models are used to explore theoretical aspects of gravity and spacetime in contexts beyond four-dimensional physics, and provide novel solutions to Einstein's equations, such as higher-dimensional black holes and black rings.

At present, these theories remain largely theoretical and lack direct observational or experimental support. 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 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 could potentially provide evidence supporting the existence of extra dimensions.