General Relativity pp 65-143 | Cite as

# Einstein’s Field Equations

Chapter

## Abstract

In the previous chapter we examined the kinematical framework of the general theory of relativity and the effect of gravitational fields on physical systems. The hard core of the theory, however, consists of **Einstein’s field equations**, which relate the metric field to matter. After a discussion of the physical meaning of the curvature tensor, we shall first give a simple physical motivation for the field equations and will then show that they are determined by only a few natural requirements’.

## Keywords

Riemann Tensor Lorentz Manifold Spacelike Hypersurface Cauchy Surface Einstein Tensor
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## References

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## Copyright information

© Springer-Verlag Berlin Heidelberg 2004