Vacaru, S.I.: Locally anisotropic cosmological systems in modified two measure and massive gravity theories. In: Bianchi, M.; Jantzen, R.T.; Ruffini, R. (Eds.): Proceedings of the Fourteenth Marcel Grossman Meeting On General Relativity, 2018, S. 1509-1513. DOI:
https://doi.org/10.1142/9789813226609_0137
Abstract: |
We outline a geometric method of constructing generic off-diagonal and diagonal cosmological solutions of effective Einstein equations modeling modified gravity theories with two non-Riemannian volume forms and associated bimetric and/or biconnection geometric structures. Such solutions are determined by generating functions, effective sources and integration constants and characterized by nonholonomic frame torsion effects. In the physical Einstein frame, the constructions involve: (i) nonlinear re-parametrization symmetries of the generating functions and effective sources; (ii) effective potentials for the scalar field with possible two flat regions which allows unified description of locally anisotropic and/or isotropic early universe inflation related to acceleration cosmology and dark energy; (iii) there are “emergent universes” described by off-diagonal and diagonal solutions for certain nonholonomic phases and parametric cosmological evolution resulting in various inflationary phases; (iv) we can reproduce in two measure theories massive gravity effects.
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License of this version: |
CC BY 4.0 Unported - https://creativecommons.org/licenses/by/4.0/
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Publication type: |
BookPart |
Publishing status: |
publishedVersion |
Publication date: |
2018 |
Keywords english: |
(Anisotropic) inflation, Bi-metrics and bi-connections, Dark energy, Effective Einstein gravity, Modified and massive gravity, Nonholonomic dynamical weyl-scale symmetry breaking, Off-diagonal cosmological solutions, Reconstructing procedure, Two measure theories, Anisotropy, Geometry, Relativity, (Anisotropic) inflation, Dark energy, Einstein gravity, Measure theory, Reconstructing procedure, Symmetry-breaking, Cosmology
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DDC: |
530 | Physik
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