English

Positive Mass in General Relativity Without Energy Conditions

General Relativity and Quantum Cosmology 2025-02-12 v3 High Energy Physics - Theory

Abstract

A long-standing problem in physics is why observed masses are always positive. While energy conditions in quantum field theory can partly answer this problem, in this paper we find evidence that classical general relativity abhors negative masses, without the need for quantum theory or energy conditions. This is done by considering many different models of negative-mass "stars" and showing they are dynamically unstable. A fortiori, we show that any barotropic negative-mass star must be dynamically unstable.

Keywords

Cite

@article{arxiv.2408.00154,
  title  = {Positive Mass in General Relativity Without Energy Conditions},
  author = {Níckolas de Aguiar Alves and Andre G. S. Landulfo and Bruno Arderucio Costa},
  journal= {arXiv preprint arXiv:2408.00154},
  year   = {2025}
}

Comments

26 pages, 9 figures. v3 accepted for publication in Phys. Rev. D. Two extra appendices relative to the published version