Leibnizian, Galilean and Newtonian structures of space–time

DOI10.1063/1.1541120zbMath1061.53053arXivgr-qc/0211030OpenAlexW3099524854MaRDI QIDQ4832933

Antonio N. Bernal, Miguel Sánchez

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0211030

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)

Related Items (13)

Quantum potential in covariant quantum mechanics ⋮ Connections and dynamical trajectories in generalised Newton-Cartan gravity. II. An ambient perspective ⋮ Non-lorentzian spacetimes ⋮ On the concept of infinitesimal position vector fields in Galilean spacetimes ⋮ Galilean generalized Robertson-Walker spacetimes: A new family of Galilean geometrical models ⋮ Embedding Galilean and Carrollian geometries. I. Gravitational waves ⋮ Connections and dynamical trajectories in generalised Newton-Cartan gravity I. An intrinsic view ⋮ p-brane Newton–Cartan geometry ⋮ Non-Riemannian gravity actions from double field theory ⋮ Characterization of Levi-Civita and Newton-Cartan connections in dimension 2 ⋮ On the geometry of stationary Galilean spacetimes ⋮ Unnamed Item ⋮ Completeness of uniformly accelerated observers in Galilean spacetimes

Cites Work

• On the uniqueness of the Newtonian theory as a geometric theory of gravitation
• The Newtonian limit for asymptotically flat solutions of the Vlasov- Einstein system
• Newtonian cosmology in Lagrangian formulation: Foundations and perturbation theory
• The structure of the Newtonian limit
• On the linear connection and curvature in Newtonian mechanics
• Covariant definition of inertial forces: Newtonian limit and time-dependent gravitational fields

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