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Article Dans Une Revue Physical Review D Année : 2020

Quantum cosmology of a dynamical Lambda

Joao Magueijo
  • Fonction : Auteur
Tom Zlosnik
  • Fonction : Auteur
Simone Speziale

Résumé

By allowing torsion into the gravitational dynamics one can promote the cosmological constant Λ to a dynamical variable in a class of quasitopological theories. In this paper we perform a minisuperspace quantization of these theories in the connection representation. If Λ is kept fixed, the solution is a delta-normalizable version of the Chern-Simons (CS) state, which is the dual of the Hartle and Hawking and Vilenkin wave functions. We find that the CS state solves the Wheeler–De Witt equation also if Λ is rendered dynamical by an Euler quasitopological invariant, in the parity-even branch of the theory. In the absence of an infrared (IR) cutoff, the CS state suggests the marginal probability P(Λ)=δ(Λ). Should there be an IR cutoff (for whatever reason), the probability is sharply peaked at the cut off. In the parity-odd branch, however, we can still find the CS state as a particular (but not most general) solution, but further work is needed to sharpen the predictions. For the theory based on the Pontryagin invariant (which only has a parity-odd branch) the CS wave function no longer is a solution to the constraints. We find the most general solution in this case, which again leaves room for a range of predictions for Λ.

Dates et versions

hal-02886940 , version 1 (01-07-2020)

Identifiants

Citer

Joao Magueijo, Tom Zlosnik, Simone Speziale. Quantum cosmology of a dynamical Lambda. Physical Review D, 2020, 102 (6), pp.064006. ⟨10.1103/PhysRevD.102.064006⟩. ⟨hal-02886940⟩
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