Tunneling in $\Lambda$ Decaying Cosmologies and the Cosmological Constant Problem

Abstract

The tunneling rate, with exact prefactor, is calculated to first order in $\hslash$ 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 $0\le m\le 2$). 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.

21 pages, REVTEX, The section 3 is considerably completed including some physical mechanisms supporting the time variation of the cosmological constant, added references for the section 3. Accepted to be published in Phys. Rev. D

References in corpus (4)

• Cosmological properties of a class of $\Lambda$ decaying cosmologies
• Some Connections between Quantum Tunneling and Inflation
• On Duru-Kleinert Path Integral In Quantum Cosmology
• Tunneling in a Cosmological Model with Violation of Strong Energy Condition

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