TY  - JOUR
T1  - Analogues of glacial valley profiles in particle mechanics and in cosmology
AU  - Faraoni, Valerio
AU  - Cardini, Adriana M.
Y1  - 2017/01/01
PY  - 2017
DA  - 2017/01/01
N1  - doi: 10.1139/facets-2016-0045
DO  - 10.1139/facets-2016-0045
T2  - FACETS
JF  - FACETS
SP  - 286
EP  - 300
VL  - 2
PB  - Canadian Science Publishing
N2  - An ordinary differential equation describing the transverse profiles of U-shaped glacial valleys has two formal analogies, which we explore in detail, bridging these different areas of research. First, an analogy with point particle mechanics completes the description of the solutions. Second, an analogy with the Friedmann equation of relativistic cosmology shows that the analogue of a glacial valley profile is a universe with a future singularity of interest in theoretical models of cosmology. A Big Freeze singularity, which was not previously observed for positive curvature index, is also contained in the dynamics.
AB  - An ordinary differential equation describing the transverse profiles of U-shaped glacial valleys has two formal analogies, which we explore in detail, bridging these different areas of research. First, an analogy with point particle mechanics completes the description of the solutions. Second, an analogy with the Friedmann equation of relativistic cosmology shows that the analogue of a glacial valley profile is a universe with a future singularity of interest in theoretical models of cosmology. A Big Freeze singularity, which was not previously observed for positive curvature index, is also contained in the dynamics.
M3  - doi: 10.1139/facets-2016-0045
UR  - https://doi.org/10.1139/facets-2016-0045
Y2  - 2024/04/23
ER  - 


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