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15 February 2025 |
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Article overview
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Conformal and projective symmetries in Newtonian cosmology | Christian Duval
; Gary Gibbons
; Peter Horvathy
; | Date: |
1 May 2016 | Abstract: | Definitions of non-relativistic conformal transformations are considered both
in the Newton-Cartan and in the Kaluza-Klein-type Eisenhart/Bargmann
geometrical frameworks. The symmetry groups that come into play are exemplified
by the cosmological, and also the Newton-Hooke solutions of Newton’s
gravitational field equations. It is shown, in particular, that the maximal
symmetry group of the standard cosmological model is isomorphic to the
13-dimensional conformal-Newton-Cartan group whose conformal-Bargmann extension
is explicitly worked out. Attention is drawn to the appearance of independent
space and time dilations, it contrast with the Schr{"o}dinger group or the
Conformal Galilei Algebra. | Source: | arXiv, 1605.0231 | Services: | Forum | Review | PDF | Favorites |
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