20 citations · 78 across the 16 of their papers we have counts for
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gr-qc2020★ 12 cited
The 1+3-Newton-Cartan system and Newton-Cartan cosmology
Quentin Vigneron
We perform a covariant 1+3 split of the Newton-Cartan equations. The resulting 3-dimensional system of equations, called \textit{the 1+3-Newton-Cartan equations}, is structurally e…
gr-qc2020★ 6 cited
1+3 formulation of Newton's equations
Quentin Vigneron
We present in this paper a 4-dimensional formulation of the Newton equations for gravitation on a Lorentzian manifold, inspired from the 1+3 and 3+1 formalisms of general relativit…