Geometrical trinity of unimodular gravity
Yu Nakayama
Abstract
Abstract We construct a Weyl transverse diffeomorphism invariant theory of teleparallel gravity by employing the Weyl compensator formalism. The low-energy dynamics has a single spin two gravition without a scalar degree of freedom. By construction, it is equivalent to unimodular gravity (as well as Einstein’s general relativity with an adjustable cosmological constant) at the non-linear level. Combined with our earlier construction of a Weyl transverse diffeomorphism invariant theory of symmetric teleparallel gravity, unimodular gravity is represented in three alternative ways.
Topics & Concepts
Unimodular matrixPhysicsDiffeomorphismMathematical physicsGeneral relativityParameterized post-Newtonian formalismEinsteinInvariant (physics)SupergravityScalar (mathematics)GravitationFormalism (music)Classical mechanicsTheoretical physicsGeometryMathematical analysisPure mathematicsSupersymmetryMusicalClassical field theoryVisual artsArtMathematicsCosmology and Gravitation TheoriesBlack Holes and Theoretical PhysicsNoncommutative and Quantum Gravity Theories