Unimodular theory of gravity and the cosmological constant.

Details Unimodular theory of gravity and the cosmological constant. Unimodular theory of gravity and the cosmological constant.

May 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991jmp....32.1337n&link_type=abstract

Journal of Mathematical Physics, Vol. 32, No. 5, p. 1337 - 1340

Mathematics

Mathematical Physics

14

Scientific paper

The unimodular theory of gravity with a constrained determinant is equivalent to general relativity with an arbitrary cosmological constant Λ. Within this framework Λ appears as an integration constant unrelated to any parameters in the Lagrangian. In a quantum theory the state vector of the universe is thus expected to be a superposition of states with different values of Λ. Following Hawking's argument one concludes that the fully renormalized Λ = 0 completely dominates other contributions to the integral over Λ in the vacuum functional. In this scenario of the unimodular theory of gravity the cosmological constant problem is solved.

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