of the gravitational field
Fundamental equations in the general theory of relativity. They connect the metric tensor of the space-time continuum, which describes the gravitational field, and the physical characteristics of different forms of matter, described by means of the energy-momentum tensor:
Here is the Ricci tensor, which can be expressed in terms of the metric tensor , , is the energy-momentum tensor, is the speed of light in vacuum, and is the gravitational constant.
|||L.D. Landau, E.M. Lifshitz, "The classical theory of fields" , Addison-Wesley (1962) (Translated from Russian)|
|[a1]||S. Weinberg, "Gravitation and cosmology" , Wiley (1972) pp. Chapt. 7|
|[a2]||R.M. Wald, "General relativity" , Univ. Chicago Press (1984) pp. Chapt. 4|
Einstein equations. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Einstein_equations&oldid=32958