Solution of Einstein field equations
The Kasner metric (developed by and named for the American mathematician Edward Kasner in 1921)[2] is an exact solution to Albert Einstein's theory of general relativity. It describes an anisotropic universe without matter (i.e., it is a vacuum solution). It can be written in any spacetime dimension and has strong connections with the study of gravitational chaos.
- ^ The expression for r is derived by logarithming the power coefficients in the metric: ln [t2pα(1/u)] = 2pα(1/u) ln t.
- ^ Kasner, E. "Geometrical theorems on Einstein’s cosmological equations." Am. J. Math. 43, 217–221 (1921).