Tipler Cylinders: Solving for Light Cone Tilt Angle

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SUMMARY

The discussion centers on the mathematical modeling of Tipler Cylinders, specifically the derivation of the light cone tilt angle based on parameters such as diameter, height, density, and angular velocity. Participants reference the van Stockum solution as a critical resource for understanding these equations. A specific paper, accessible only through academic subscriptions, is mentioned as a potential source for detailed mathematical formulations. The conversation highlights the scarcity of readily available resources on this advanced topic.

PREREQUISITES
  • Understanding of general relativity principles
  • Familiarity with Tipler Cylinder and van Stockum solutions
  • Basic knowledge of mathematical modeling in physics
  • Access to academic resources for advanced papers
NEXT STEPS
  • Research the mathematical equations governing Tipler Cylinders
  • Study the van Stockum solution in detail
  • Explore the implications of angular velocity on light cone behavior
  • Investigate academic databases for access to relevant physics papers
USEFUL FOR

Physicists, mathematicians, and students interested in general relativity and theoretical physics, particularly those focusing on rotating systems and their effects on spacetime geometry.

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I was looking for a paper or textbook that would provide "working equations" for Tipler Cylinders. In other words, is there an equation(s) that would provide the light cone tilt angle as a function of the cylinder's diameter, height, density, and angular velocity?
 
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Can't find much online about the Tipler cylinder (also known as a van Stockum cylinder), though http://rampke.de/wp-content/uploads/2009/12/ba.pdf for more mathematical details on the van Stockum solution, but it's not available free online for nonsubscribers...maybe someone with an academic affiliation could access it and see if has something relevant to the OP?)
 
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Thanks JesseM. These are very usefull papers I was not aware of.
 

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