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The Hawking Energy in a Perturbed Friedmann-Lemaître Universe

Dennis Stock, Enea Di Dio, Ruth Durrer

1/5/23 Published in : arXiv:2305.00711

Hawking's quasi-local energy definition quantifies the energy enclosed by a spacelike 2-sphere in terms of the amount of lightbending on the sphere caused by the energy distribution inside the sphere. This paper establishes for the first time a direct connection between the formal mathematical definition of a quasi-local energy and observations, in the context of cosmological perturbation theory. This is achieved by studying the Hawking Energy of spherical sections of the past lightcone of a cosmic observer in a perturbed Friedmann-Lemaître spacetime. We express the Hawking Energy in terms of gauge-invariant perturbation variables and comment on the cosmic observables needed to in principle measure it. We then calculate its angular power spectrum and interpret its contributions.

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Phase I & II research project(s)

  • String Theory
  • Field Theory

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  • From Field Theory to Geometry and Topology

Post-quantum nonlocality in the minimal triangle scenario

Graded geometry and generalized reduction

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The National Centres of Competence in Research (NCCRs) are a funding scheme of the Swiss National Science Foundation

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