Reconstruction of \(\Lambda\)CDM universe in \(f(Q)\) gravity. (English) Zbl 1518.83088
Summary: In this manuscript, we present a number of fascinating explicit reconstructions for the \(f(Q)\) gravity from the background of Friedmann-Laîmatre-Robertson-Walker (FLRW) evolution history. We find the more general functions of non-metricity scalar \(Q\) that admit exact \(\Lambda\)CDM expansion history. Adding extra degrees of freedom to the matter sector is the only method to get the scale factor to behave in this manner for more generic functions of \(Q\). In addition, a cosmological reconstruction for modified \(f(Q)\) gravity is constructed in terms of e-folding. It is shown how any FLRW cosmology can arise from a specific \(f(Q)\) theory. We also reconstruct the well-known cosmological evolution for the specific examples of \(\Lambda\)CDM cosmology.
MSC:
| 83F05 | Relativistic cosmology |
| 83D05 | Relativistic gravitational theories other than Einstein’s, including asymmetric field theories |
| 83C55 | Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) |
| 76T15 | Dusty-gas two-phase flows |
| 83C20 | Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory |
| 83E05 | Geometrodynamics and the holographic principle |
| 83C56 | Dark matter and dark energy |
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