Gurzadyan theorem

In cosmology, Gurzadyan theorem, proved by Vahe Gurzadyan,[1] states the most general functional form for the force satisfying the condition of identity of the gravity of the sphere and of a point mass located in the sphere's center. This theorem thus refers to the first statement of Isaac Newton’s [2] shell theorem (the identity mentioned above) but not the second one, namely, the absence of gravitational force inside a shell.[3]

The theorem had entered and its importance for cosmology outlined in several papers [4] [5] as well as in shell theorem.

  1. ^ Gurzadyan, Vahe (1985). "The cosmological constant in McCrea-Milne cosmological scheme". The Observatory. 105: 42–43. Bibcode:1985Obs...105...42G.
  2. ^ Newton, Isaac (1687). Philosophiae Naturalis Principia Mathematica. London. pp. Theorem XXXI.
  3. ^ Markoutsakis, M. (2021). Geometry, Symmetries, and Classical Physics: A Mosaic,. CRC Press. ISBN 978-0367535230.
  4. ^ Vedenyapin, V.V.; Fimin, N.N.; Chechetkin, V.M. (2021). "The generalized Friedmann model as a self-similar solution of Vlasov–Poisson equation system". European Physical Journal Plus. 136: 670.
  5. ^ Chardin, G.; Debois, Y.; Manfredi, G.; Miller, B.; Stahl, C. (2021). "MOND-like behavior in the Dirac–Milne universe: Flat rotation curves and mass versus velocity relations in galaxies and clusters". Astronomy and Astrophysics. 652: 16.