General-relativistic thin-shell Dyson mega-spheres
arXiv:2207.02465 · doi:10.1103/PhysRevD.106.084001
Abstract
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.
arXiv commentV1: 23 pages; 6 figures. V2: Now 25 pages. (1) Minor typos fixed. (2) We now carefully distinguish quasi-local forces (forces across a surface, relevant to extended objects) from ultra-local forces (forces at a point, relevant only for point particles). This version has been accepted for publication in Physical Review D
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