this book gives a unique survey of the known solutions of Einstein's field equations for vacuum, Einstein-Maxwell, pure radiation and perfect fluid sources. It introduces the foundations of ...

Partial differential equations (PDEs) lie at the heart of many different fields of Mathematics and Physics: Complex Analysis, Minimal Surfaces, Kähler and Einstein Geometry, Geometric Flows, ...

The Einstein field equations are a system of second order, non-linear, coupled differential equations in 4 variables. As you can imagine, solving such a system is not easy. If the system possesses a ...

This book provides an introduction to the theory and application of the solution of differential equations using symmetries, a technique of great value in mathematics and the physical sciences. In ...

This difference is explained by Einstein's introduction of a new "ingredient": the deformation of time, in addition to the deformation of space, to determine light's exact curvature. But do these ...

File photo of Einstein's equation: energy equals mass times the speed of light squared A letter written by Albert Einstein containing his E=mc² equation has sold at auction in the US for more ...