About symmetry of the gravitational action
Abstract
The Einstein equations are investigated by imbedding of the metric tensor to the affinely connected space. It is shown that if using of the Einstein equations, then, despite the action functional invariance being violated with respect to the diffeomorphism group by the background object, a new infiniteparameter invariance appears, i.e., the action invariance can be extended from the group of motions of the background object to any infiniteparameter group.
 Publication:

Unknown
 Pub Date:
 1991
 Bibcode:
 1991asga.book.....T
 Keywords:

 Einstein Equations;
 Gravitational Fields;
 Lie Groups;
 Symmetry;
 Invariance;
 Relativity;
 Tensors;
 Thermodynamics and Statistical Physics