A class of decelerating inhomogeneous cosmological models giving rise to accelerating FLRW universes at large scales
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| Format: | Preprint |
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2026
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| _version_ | 1866913021975068672 |
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| author | Gomes, Leandro G. |
| author_facet | Gomes, Leandro G. |
| contents | In this manuscript, we develop a class of inhomogeneous relativistic cosmological models with the following properties: (i) They contain cosmological observers to whom the spatial geometry and the expansion are homogeneous and isotropic; (ii) Matter behaves closely to dust, as it is formed by an ensemble of massive particles whose number density $4$-vector is conserved and reacts viscously to the local tidal forces; (iii) They generalize the dust FLRW model; (iv) They give rise to effective models on large scales that reproduce the FLRW behaviour with dust and a running dark-energy term, which appears as a backreaction effect from the local gravitational potential; (v) By suitably setting the distribution of energy in the current universe, the effective large-scale equation-of-state parameter can reproduce, in principle, any polynomial on the scale factor whose term of order zero is negative; (vi) The luminous distance observations imply an apparent large-scale acceleration, as the deceleration parameter is negative, while in reality the universe is decelerating. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2603_11377 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A class of decelerating inhomogeneous cosmological models giving rise to accelerating FLRW universes at large scales Gomes, Leandro G. General Relativity and Quantum Cosmology 83F05, 83C56 In this manuscript, we develop a class of inhomogeneous relativistic cosmological models with the following properties: (i) They contain cosmological observers to whom the spatial geometry and the expansion are homogeneous and isotropic; (ii) Matter behaves closely to dust, as it is formed by an ensemble of massive particles whose number density $4$-vector is conserved and reacts viscously to the local tidal forces; (iii) They generalize the dust FLRW model; (iv) They give rise to effective models on large scales that reproduce the FLRW behaviour with dust and a running dark-energy term, which appears as a backreaction effect from the local gravitational potential; (v) By suitably setting the distribution of energy in the current universe, the effective large-scale equation-of-state parameter can reproduce, in principle, any polynomial on the scale factor whose term of order zero is negative; (vi) The luminous distance observations imply an apparent large-scale acceleration, as the deceleration parameter is negative, while in reality the universe is decelerating. |
| title | A class of decelerating inhomogeneous cosmological models giving rise to accelerating FLRW universes at large scales |
| topic | General Relativity and Quantum Cosmology 83F05, 83C56 |
| url | https://arxiv.org/abs/2603.11377 |