Equations of Einstein

The principle of equivalence postulates that the local behavior of a mobile is identical that it undergoes a static gravitational field or a constant acceleration. What can result in `` the gravitation has only one relative existence. For an observer in free fall, there is not any gravitational field '' . Thus, the experimental equality of the gravitational and inertial masses implies that one cannot differentiate a static gravitational field from an accelerated reference mark.

This principle, Albert Einstein deduced the equations which bear its name and which connect the geometry (in the shape of a metric tensor ${ \rm T_{\mu \nu}}$) by the relation:

$${\rm R}_{\mu \nu} -\frac{1}{2} g_{\mu \nu} ( {\rm R} -{\rm\Lambda} ) = -8 \pi G T_{\mu \nu}$$ (1.1)

where $\Lambda$ a constant baptized by cosmological Einstein `` constant ' '.