Post-Newtonian Feasibility of the Closed String Massless Sector

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 $β_{\rm{PPN}}$, $γ_{\rm{PPN}}$ with the charges of electric $H$-flux and dilaton respectively, and further relate them to stress-energy tensor. We show ${β_{\rm{PPN}}=1}$ from weak energy condition and argue that the observation of $γ_{\rm{PPN}}\simeq 1$ signifies the ultrarelativistic equation of state in baryons, or the suppression of gluon condensate.

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