2 papers
physics.class-ph2025
Lie Group Theory of Multipole Moments and Shape of Stationary Rotating Fluid Bodies
Sergei M. Kopeikin
We present a rigorous framework for determining equilibrium configurations of uniformly rotating self-gravitating fluid bodies. This work addresses the longstanding challenge of mo…
gr-qc2025
Revolutionizing Gravitational Potential Analysis: From Clairaut to Lie Groups
Sergei M. Kopeikin
This letter introduces an advanced novel theory for calculating non-linear Newtonian hydrostatic perturbations in the density, shape, and gravitational field of fluid stars and pla…