Spacetime curvature

From Wikipedia, the free encyclopedia
Jump to: navigation, search

In general relativity, the curvature of spacetime is expressed by the Einstein tensor in the Einstein field equations. [1]

These tensor equations determine how spacetime (represented by a manifold) is warped by the presence of mass-energy (expressed in the stress energy tensor), producing the apparent phenomenon of gravitation as a fictitious force. The curvature is highly significant in cosmology, as the shape of the universe affects its ultimate fate.[2]

Other hypotheses such as Kaluza-Klein theory and string theory involve a curved spacetime, extended into higher dimensions, in attempts to unify forces as a single phenomenon.

See also[edit]


  1. ^ Einstein, Albert (1916). "The Foundation of the General Theory of Relativity". Annalen der Physik. 354 (7): 769. Bibcode:1916AnP...354..769E. doi:10.1002/andp.19163540702. Archived from the original (PDF) on 2012-02-06. 
  2. ^ Tegmark, Max (2014). Our Mathematical Universe: My Quest for the Ultimate Nature of Reality (1 ed.). Knopf. ISBN 978-0307599803.