Newtonian fractional-dimension gravity and MOND

DOI10.1007/s10701-020-00389-7zbMath1456.83071arXiv2003.05784OpenAlexW3098496284MaRDI QIDQ828385

Gabriele Umberto Varieschi

Publication date: 8 January 2021

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

Full work available at URL: https://arxiv.org/abs/2003.05784

zbMATH Keywords

dark mattergalaxiesmodified gravityfractional gravity

Mathematics Subject Classification ID

Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Astrophysical cosmology (85A40) Dark matter and dark energy (83C56)

Related Items (2)

Gravitational potential and galaxy rotation curves in multi-fractional spacetimes ⋮ Classical and quantum gravity with fractional operators

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Answers in search of a question: `proofs' of the tri-dimensionality of space
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Multifractional theories: an unconventional review
• Geometry of fractional spaces
• Geometry and field theory in multi-fractional spacetime
• Electromagnetic fields and waves in fractional dimensional space
• Vector calculus in non-integer dimensional space and its applications to fractal media
• Equations of motion in a non-integer-dimensional space
• Anisotropic fractal media by vector calculus in non-integer dimensional space
• Axiomatic basis for spaces with noninteger dimension
• Recovering a MOND-like acceleration law in mimetic gravity

This page was built for publication: Newtonian fractional-dimension gravity and MOND