Quantum Stabilization of General-Relativistic Variable-Density Degenerate Stars

• 作者: David Eric Cox MP Silverman Ronald L. Mallett
• 来源期刊: 现代物理(英文)
• 学科: 物理学
• 关键词: Gravity General RELATIVITY Neutron STARS Black Holes BOSE-EINSTEIN CONDENSATES Numerical Physics
• 年，卷（期）: xdwlyw_2012,（7）
• 页码范围: 561-569
• 页数: 9页
• 分类号: O4

摘要

Research by one of the authors suggested that the critical mass of constant-density neutron stars will be greater than eight solar masses when the majority of their neutrons group into bosons that form a Bose-Einstein condensate, provided the bosons interact with each other and have scattering lengths on the order of a picometer. That analysis was able to use Newtonian theory for the condensate with scattering lengths on this order, but general relativity provides a more fundamental analysis. In this paper, we determine the equilibrium states of a static, spherically-symmetric variable-density mixture of a degenerate gas of noninteracting neutrons and a Bose-Einstein condensate using general relativity. We use a Klein-Gordan Lagrangian density with a Gross-Pitaevskii term for the condensate and an effective field for the neutrons. We show that a new class of compact stars can exist with masses above the Oppenheimer-Volkoff limit, provided the scattering length of the bosons is large enough. These stars have no internal singularities, obey causality, and demonstrate a quantum mechanism consistent with general relativity that could prevent collapsed stars from becoming black holes.