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We study the renormalized energy-momentum tensor of gravitons in a de Sitterspace-time. After canonically quantizing only the physical degrees of freedom,we adopt the standard adiabatic subtraction used for massless minimally coupledscalar fields as a regularization procedure and find that the energy density ofgravitons in the E(3) invariant vacuum is proportional to H^4, where H is theHubble parameter, but with a positive sign. According to this result the scalarexpansion rate, which is gauge invariant in de Sitter space-time, is increasedby the fluctuations. This implies that gravitons may then add to conformallycoupled matter in driving the Starobinsky model of inflation.Comment: 5 pages, revtex, final version accepted for publication in PR

Adiabatic regularization of the graviton stress-energy tensor in de Sitter space-time