Tunneling in $Λ$ Decaying Cosmologies and the Cosmological Constant Problem

Details Tunneling in $Λ$ Decaying Cosmologies and the Cosmological Constant Problem Tunneling in $Λ$ Decaying Cosmologies and the Cosmological Constant Problem

1998-11-24

arxiv.org/abs/gr-qc/9811082v2

Phys.Rev. D60 (1999) 063514

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, REVTEX, The section 3 is considerably completed including some physical mechanisms supporting the time variation of

Scientific paper

10.1103/PhysRevD.60.063514

The tunneling rate, with exact prefactor, is calculated to first order in $\hbar$ for an empty closed Friedmann-Robertson-Walker (FRW) universe with decaying cosmological term $\Lambda \sim R^{-m}$ ($R$ is the scale factor and $m$ is a parameter $0\leq m \leq 2$). This model is equivalent to a cosmology with the equation of state $p_{\chi}=(m/3 -1)\rho_{\chi}$. The calculations are performed by applying the dilute-instanton approximation on the corresponding Duru-Kleinert path integral. It is shown that the highest tunneling rate occurs for $m=2$ corresponding to the cosmic string matter universe. The obtained most probable cosmological term, like one obtained by Strominger, accounts for a possible solution to the cosmological constant problem.

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