广义相对论薄壳Dyson巨球
General-relativistic thin-shell Dyson mega-spheres
摘要：
松散的启发有点异想天开的概念，检测任意先进的外星文明，我们认为一个广义相对论薄壳戴森巨球完全包围一个中央恒星状物体，并执行一个完整的广义相对论分析使用以色列-Lanczos-森结条件。我们集中注意力在表面质量密度，表面应力，经典的能量条件，和半球之间的力。我们发现，在物理上可接受的区域的NEC，WEC，和SEC总是满意的，而DEC可以被违反，如果戴森巨球是足够接近形成一个黑洞。我们还证明了最大力猜想的原始准局域版本，F <= {1/4} F_{Stoney} = {1/4} F_{Planck}，可以很容易地被违反，如果戴森巨球是足够紧凑的，也就是说，足够接近形成一个黑洞。有趣的是，有一个有限的参数空间区域，在那里可以违反原来的准本地版本的最大力猜想，而不违反DEC。最后，我们非常简要地讨论了嵌套的薄壳巨型球体（Matrioshka配置）和厚壳戴森巨型球体的可能性。
英文摘要：
Loosely inspired by the somewhat fanciful notion of detecting an arbitrarily advanced alien civilization, we consider a general-relativistic thin-shell Dyson mega-sphere completely enclosing a central star-like object, and perform a full general-relativistic analysis using the Israel--Lanczos--Sen junction conditions. We focus attention on the surface mass density, the surface stress, the classical energy conditions, and the forces between hemispheres. We find that in the physically acceptable region the NEC, WEC, and SEC are always satisfied, while the DEC can be violated if the Dyson mega-sphere is sufficiently close to forming a black hole. We also demonstrate that the original quasi-local version of the maximum force conjecture, F <= {1/4} F_{Stoney} = {1/4} F_{Planck}, can easily be violated if the Dyson mega-sphere is sufficiently compact, that is, sufficiently close to forming a black hole. Interestingly there is a finite region of parameter space where one can violate the original quasi-local version of the maximum force conjecture without violating the DEC. Finally, we very briefly discuss the possibility of nested thin-shell mega-spheres (Matrioshka configurations) and thick-shell Dyson mega-spheres.
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