论文信息 - Newtonian Gravity on an N-Sphere - 字舞流文

Newtonian Gravity on an N-Sphere

We consider some elementary features of Newtonian gravity, or electrostatics, as deﬁned on an N-sphere. In particular, we present and discuss “the shell theorem” for this system.

T. Curtright | Hassan Alshal

[1] T. Curtright,et al. Grounded hyperspheres as squashed wormholes , 2018, Journal of Mathematical Physics.

[2] Richard Chapling. A Hypergeometric Integral with Applications to the Fundamental Solution of Laplace's Equation on Hyperspheres , 2015, 1508.06689.

[3] N. M. Ferrers,et al. Mathematical Investigations concerning the Laws of the Equilibrium of Fluids analogous to the Electric Fluid, with other similar researches , 2014 .

[4] Thierry Aubin,et al. Some Nonlinear Problems in Riemannian Geometry , 1998 .

[5] C. Callan,et al. Cosmology and Newtonian Mechanics , 1965 .