Cosmological perturbations in gravitational energy-momentum complex

Abstract

Starting from the energy-momentum of matter and gravitational field in the framework of General Relativity and Teleparallel Gravity, we obtain the energy-momentum complex in flat FRW spacetime. We show that the complex vanishes at background level considering the various prescriptions, that is the Einstein, Møller, Landau-Lifshitz and Bergmann ones. On the other hand, at level of linear cosmological perturbations, the energy-momentum complex is different from zero and coincides in the various prescriptions. Finally, we evaluate the gravitational energy for different cosmological epochs governed by non-relativistic matter, radiation, inflationary scalar fields and cosmological constant.

arXiv comment10 pages, 6 figures

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Cited by in corpus (4)

• Definition of Complexity Factor for Self-Gravitating Systems in Palatini $f(R)$ Gravity
• Emergent Universe from Energy-Momentum Squared Gravity
• Gravitational energy-momentum pseudo-tensor in Palatini and metric $f(R)$ gravity
• Localization of Energy and Momentum in an Asymptotically Reissner-Nordström Non-singular Black Hole Space-time Geometry