Classical and Quantum Gravity · 1992 · 26 citations · 3 references
Natural SciencesMathematicsPhysicsGravitationGravityRelativityCosmological GravitationEinstein Field EquationsGeneral RelativityNewtonian GravitySpacetime GeometrySpecial RelativityCoordinate Frame TransformationsCoordinate Transformation InvarianceEinstein Equations With Matter FieldsEinstein Field Equations In CosmologyEquations Of Motion In General RelativityGeneral Relativity In CosmologyInvariance PrinciplesSymmetries
In a first-order Lagrangian theory of gravitation, the author proves rigorously that general coordinate transformations are Noetherian symmetries if and only if the Lagrangian is a linear combination of a cosmological term and of a Lagrangian giving Einstein equations. Only the pure gravity case is considered.
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