2006arXiv (Cornell University)Open access

Solution generating theorems: perfect fluid spheres and the TOV equation

Petarpa Boonserm, Matt Visser, Silke Weinfurtner

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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.

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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.

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Available 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.

Key concepts: SPHERES, Perfect fluid, Transformation (genetics), Mathematics, Mathematical analysis, Classical mechanics, Physics, Pure mathematics

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