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Second-order energy-momentum tensor of a scalar field
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We investigate the second-order effective energy-momentum tensor (2EMT) constructed by the quadratic terms of the linear scalar cosmological perturbations while the universe is dominated by a scalar field. We show that 2EMT is gauge dependent. We then study 2EMT in three (longitudinal, spatially flat, and comoving) gauge conditions in the slow-roll stage of inflation. We find that 2EMT exhibits an effective fluid of w=-1/3 on super-horizon scales in all of those gauge conditions.
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Quadratic effective energy--momentum tensor on uniform-density hypersurfaces during slow-roll inflation
The uniform-density gauge 2EMT matches the comoving gauge in the strict infrared, separates at finite gradient order, and acquires a 1/epsilon and 1/sigma_2^2 enhancement in the ultraviolet from the slowly evolving de...
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