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Gravitational Hamiltonian Systems and the Retarded Gravity Inequality
1Department of Electrical & Electronic Engineering, Faculty of Engineering, Ariel University, Ariel 40700, Israel.
Entropy (Basel, Switzerland)
|November 27, 2024
Summary
Retarded gravity explains galactic rotation curves and "missing mass" without dark matter. This study provides a mathematical criterion to determine when gravitational retardation is significant.
Area of Science:
- Physics
- Astrophysics
- Cosmology
Background:
- Gravity and electromagnetism are fundamental interactions.
- General relativity posits that gravitational interactions are retarded.
- Retarded gravity offers explanations for phenomena like galactic rotation curves and gravitational lensing, potentially resolving the
Purpose of the Study:
- To present a mathematical criterion for the significance of gravitational retardation.
- To demonstrate the explanatory power of retarded gravity in astrophysics.
Main Methods:
- Analysis of Hamiltonians incorporating gravitational interaction.
- Application of general relativity principles.
- Development of a mathematical inequality criterion.
Main Results:
- Retarded gravity successfully explains galactic rotation curves without dark matter.
- It resolves
Conclusions:
- Retarded gravity is a viable alternative to dark matter for explaining galactic dynamics.
- A clear mathematical criterion is established to assess the importance of retardation in gravitational interactions.
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