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The Energy-Momentum Tensor for Cosmological Perturbations

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arxiv gr-qc/9704037 v5 pith:NCG2UVOK submitted 1997-04-14 gr-qc astro-phhep-phhep-th

L.R. Abramo , R.H. Brandenberger , V.M. Mukhanov This is my paper · ORCID
classification gr-qcastro-phhep-phhep-th
keywords perturbationscosmologicalscalartensorback-reactioneffectiveenergy-momentumgravitational
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We study the effective energy-momentum tensor (EMT) for cosmological perturbations and formulate the gravitational back-reaction problem in a gauge invariant manner. We analyze the explicit expressions for the EMT in the cases of scalar metric fluctuations and of gravitational waves and derive the resulting equations of state. The formalism is applied to investigate the back-reaction effects in chaotic inflation. We find that for long wavelength scalar and tensor perturbations, the effective energy density is negative and thus counteracts any pre-existing cosmological constant. For scalar perturbations during an epoch of inflation, the equation of state is de Sitter-like.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Nonlinear Lattice Framework for Inflation: Bridging stochastic inflation and the $\delta{N}$ formalism

    gr-qc 2026-04 unverdicted novelty 8.0 of 10

    A shear-free locally FLRW lattice framework for single-field inflation captures spatially varying expansion, curvature corrections, and nonlinear δN observables at a fraction of the cost of full numerical relativity.

  2. Incorporating Backreaction in One-Loop Corrections in Ultra-Slow-Roll Inflation

    gr-qc 2025-02 conditional novelty 5.0 of 10

    Including the backreaction of quantum fluctuations on the background inflaton cancels the one-loop superhorizon corrections to the curvature power spectrum in ultra-slow-roll inflation.

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