Conformal Invariance of the Newtonian Weyl Tensor
Neil Dewar, James Read
Abstract
Abstract It is well-known that the conformal structure of a relativistic spacetime is of profound physical and conceptual interest. In this note, we consider the analogous structure for Newtonian theories. We show that the Newtonian Weyl tensor is an invariant of this structure.
Topics & Concepts
Conformal gravityWeyl tensorWeyl transformationPhysicsMathematical physicsSpacetimeNewtonian fluidConformal mapInvariant (physics)Tensor (intrinsic definition)Conformal symmetryClassical mechanicsEinstein tensorTensor calculusConformal anomalyNewtonian dynamicsNewtonian limitTheory of relativityConformal geometryNewtonian potentialSpace timeGeneral relativityTheoretical physicsStress–energy tensorMaxwell's equations in curved spacetimeCausal structureSpace (punctuation)Introduction to the mathematics of general relativityScale invarianceRicci decompositionTensor densityConformal field theoryNon-Newtonian fluidMathematics of general relativityNoncommutative and Quantum Gravity TheoriesBlack Holes and Theoretical PhysicsAdvanced Differential Geometry Research