Cosmological Constant in Low Energy $d = 4$ String Leads to Naked Singularity

Details Cosmological Constant in Low Energy $d = 4$ String Leads to Naked Singularity Cosmological Constant in Low Energy $d = 4$ String Leads to Naked Singularity

1994-02-02

arxiv.org/abs/hep-th/9402009v2

Mod.Phys.Lett.A10:789-798,1995

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, preprint TCD-1-94. Revised version: a note and some references added; a few minor changes in the text

Scientific paper

10.1142/S0217732395000831

In the sigma model approach, the $\beta$-function equations for non critical strings contain a term which acts like a tree level cosmological constant, $\Lambda$. We analyse the static, spherically symmetric solutions to these equations in $d = 4$ space time and show that the curvature scalar seen by the strings is singular if $\Lambda \ne 0$. This singularity is naked. Requiring its absence in our universe imposes the constraint $| \Lambda | < 10^{- 120}$ in natural units. {}From another point of view, our analysis implies that low energy $d = 4$ non critical strings lead to naked singularities.

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