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arXiv · 2411.15264

Zero Values of the TOV Equation

Jonas Pleyer
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Abstract

This thesis calculates the special-relativistic internal energy of a non-interacting gas. We derive an equation of state (EoS) which we apply to the Tollmann-Oppenheimer Volkoff (TOV) equation. Furthermore we present numerical results of the TOV equation for various configurations of a polytropic EoS. These results show that the zero values of the TOV equation compared to its non-relativistic counterpart, the Lane-Emden (LE) equation, are smaller for identical parameters. We present initial developments to a proof of this theorem. Furthermore, an additional exact solution and index $n=2$ of the LE equation was discovered.

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Jonas Pleyer. 2024-11-22. Zero Values of the TOV Equation. https://arxiv.org/abs/2411.15264

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