The cosmological constant as an eigenvalue of the Hamiltonian constraint in Horava-Lifshits theory

Understand

In the framework of Horava-Lifshitz theory, we study the eigenvalues associated with the Wheeler-DeWitt equation representing the vacuum expectation values associated with the cosmological constant.

• The explicit calculation is performed with the help of a variational procedure with trial wave functionals of the Gaussian type.
• We analyze both the case with the detailed balanced condition and the case without it.
• In the case without the detailed balance, we find the existence of an eigenvalue depending on the set of coupling constants (g2,g3) and (g4,g5,g6), respectively, and on the physical scale.