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Abstract <p> We construct a Hamiltonian formalism of general relativity theory, where the worldsheet metric, the metric of the three-dimensional space, and their mutual influence are explicitly singled out. We choose a gauge condition corresponding to a nonstationary background solution. In the quadratic approximation, we study the stability of the background solution and define particles as excitations over this solution. </p>

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On particles in five-dimensional nonstationary general relativity theory

  • 期刊论文

  • 发表日期：

    2025年11月25日

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  • V. V. Losyakov

摘要

Abstract

We construct a Hamiltonian formalism of general relativity theory, where the worldsheet metric, the metric of the three-dimensional space, and their mutual influence are explicitly singled out. We choose a gauge condition corresponding to a nonstationary background solution. In the quadratic approximation, we study the stability of the background solution and define particles as excitations over this solution.