Solution generating theorems: perfect fluid spheres and the TOV equation
Petarpa Boonserm (Victoria University of Wellington), Matt Visser, (Victoria University of Wellington), and Silke Weinfurtner (Victoria, University of Wellington)
TL;DR
This paper introduces new transformation and solution-generating theorems for perfect fluid spheres and the TOV equation, enabling the creation of new solutions from existing ones in relativistic stellar models.
Contribution
It presents novel theorems that map perfect fluid spheres into new solutions and deform existing TOV solutions, advancing solution generation methods.
Findings
New transformation theorems for perfect fluid spheres
Solution generating theorems for the TOV equation
Enhanced methods for constructing relativistic stellar models
Abstract
We report several new transformation theorems that map perfect fluid spheres into perfect fluid spheres. In addition, we report new ``solution generating'' theorems for the TOV, whereby any given solution can be ``deformed'' to a new solution.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Quantum chaos and dynamical systems