Nonstandard general relativity III: The Kerr class
G\"unter Scharf
TL;DR
This paper explores a class of nonstandard solutions to Einstein's equations based on the Kerr metric, proposing a model for galaxy rotation curves without dark matter.
Contribution
It introduces a new class of solutions to Einstein's equations derived from the Kerr metric, applicable to galactic dynamics without dark matter assumptions.
Findings
Proposes a nonstandard Kerr-based solution for galaxy modeling
Demonstrates potential to explain galactic rotation curves without dark matter
Extends general relativity solutions to astrophysical structures
Abstract
We revisit the Kerr metric in Boyer-Lindquist coordinates and construct the corresponding class of nonstandard solutions of Einstein's equations. These solutions can be used to describe the outer part of spiral galaxies without assuming dark matter.
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Taxonomy
TopicsRelativity and Gravitational Theory · Mathematical and Theoretical Analysis · Cosmology and Gravitation Theories