Post-Newtonian Feasibility of the Closed String Massless Sector

Abstract

We perform post Newtonian analysis of Double Field Theory as a test of string theory in gravitational sector against observations. We identify the Eddington--Robertson--Schiff parameters ${\beta }_{\mathrm{PPN}}$, ${\gamma }_{\mathrm{PPN}}$ with the charges of electric $H$-flux and dilaton respectively, and further relate them to stress-energy tensor. We show ${\beta }_{\mathrm{PPN}}=1$ from weak energy condition and argue that the observation of ${\gamma }_{\mathrm{PPN}}\simeq 1$ signifies the ultrarelativistic equation of state in baryons, or the suppression of gluon condensate.

7 pages; v2) minor change. Accepted for publication in Physical Review Letters

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