Form invariant transformations between n-- and m-- dimensional flat Friedmann--Robertson--Walker cosmologies
arXiv:gr-qc/0506090 · doi:10.1142/S0218271808013790
Abstract
We illustrate how the group of symmetry transformations, which preserve the form of the n--dimensional flat Friedmann--Robertson--Walker cosmologies satisfying Einstein equations, acts in any dimension. This group relates the energy density and the isotropic pressure of the cosmic fluid to the expansion rate. The freedom associated with the dimension of the space time yields assisted inflation even when the energy density of the fluid is a dimensional invariant and enriches the set of duality transformations leading to phantom cosmologies.
Accepted for publication in Iternational Journal of Modern Physics D
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- A new symmetry of the spatially flat Einstein-Friedmann equations
- Linking phantom quintessences and tachyons
- Form invariance symmetry generates a large set of FRW cosmologies