The quadratic lagrangians in general relativity
19716 pages
Published in:
- Commun.Math.Phys. 22 (1971) 115-120
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Abstract: (Springer)
The solutions of the General Relativity equations with quadratic LagrangiansRiklmRiklm, RikRik, R2 are studied. It is shown that nontrivial Euclidian (atr → ∞) solution of the theory equations does not exist whenT≠0 (T is a trace of the energy-momentum tensor of matter). The Schwarzschild solution is not an external part of a total solution whenT≠0. Under conditionT=R=0 LagrangiansRiklmRiklm, RikRik lead to the identical field equations, so there exist the only quadratic Lagrangian and the only field equations. This equation has a solution with an external part being a standard Schwarzschild solution for the statical spherically symmetric case.- relativity theory: gravitation
- field equations
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