Normalized General Relativity: Non-closed Universe and Zero Cosmological Constant

Abstract

We discuss the cosmological constant problem, at the minisuperspace level, within the framework of the so-called normalized general relativity (NGR). We prove that the Universe cannot be closed, and reassure that the accompanying cosmological constant $\Lambda$ generically vanishes, at least classically. The theory does allow, however, for a special class of $\Lambda \ne 0$ solutions which are associated with static closed Einstein universe and with Eddington-Lema\^ıtre universe.

arXiv comment10 PRD pages, 4 figures

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• Lectures on the Cosmological Constant Problem
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• String Theory, the Dark Sector and the Hierarchy Problem
• Vacuum energy sequestering and conformal symmetry
• Dark Energy and Inflation with Volume Normalized Action
• Exploring the self-tuning of the cosmological constant from Planck mass variation
• String Phenomenology: Past, Present and Future Perspectives