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In previous work we considered the dynamics of fission of a mass into two equal parts, as a simple toy-model for an exploding star. In this contribution we re-derive the process for fission into two unequal parts. In a post-Newtonian approximation (where the fields are weak and velocities small) to general relativity (GR) the problem reduces to a coupled equations with state-dependent delay. Moreover, this state-dependency is only implicitly given. We provide the solution via a perturbation expansion. Defining escape as sustained separation, it is discovered that the escape occurs for higher velocities than predicted in Newtonian physics.

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Escape from Gravity: A Post-Newtonian Approach with State-Dependent Delay

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  • 发表日期：

    2025年

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  • Erik I. Verriest

摘要

In previous work we considered the dynamics of fission of a mass into two equal parts, as a simple toy-model for an exploding star. In this contribution we re-derive the process for fission into two unequal parts. In a post-Newtonian approximation (where the fields are weak and velocities small) to general relativity (GR) the problem reduces to a coupled equations with state-dependent delay. Moreover, this state-dependency is only implicitly given. We provide the solution via a perturbation expansion. Defining escape as sustained separation, it is discovered that the escape occurs for higher velocities than predicted in Newtonian physics.