The meaning of general covariance of einstein’s theory of gravity
- 45 Downloads
The fundamental symmetry of Einstein’s theory of gravity is Lorentz-invariance which leads to a well defined energy-momentum tensor. This is also true for Maxwell’s theory of electromagnetism which has an additional symmetry due to its spin one, restmass zero character. Similarly, the spin two, restmass zero character of the gravitational field leads to an additional gauge symmetry that happens to be isomorphic to the concept of general covariance. The gauge-covariant energy-momentum tensor for gravitational interactions vanishes identically.
Key wordsEinstein’s theory of gravity Lagrange formalism Lorentz invariance energy-momentum tensor restmass zero spin two field gauge group general covariance
Unable to display preview. Download preview PDF.
- 2.W. Wyss, “The energy-momentum tensor in classical field theory,” to be published.Google Scholar
- 4.W. Wyss, “Gauge invariant electromagnetic interactions,” to be published.Google Scholar
- 6.W. Wyss, “The energy-momentum tensor for gravitational interactions,” to be published.Google Scholar
- 7.W. Wyss, “The relation between the gravitational stress tensor and the energy-momentum tensor,” to be published inHelv. Phys. Acta. Google Scholar