Resisting collapse: How matter inside a black hole can withstand gravity Academic Article uri icon


  • How can a Schwarzschild-sized matter system avoid a fate of gravitational collapse? To address this question, we critically reexamine the arguments that led to the" Buchdahl bound", which implies that the minimal size of a stable, compact object must be larger than nine eighths of its own Schwarzschild radius. Following Mazur and Mottola, and in line with other counterexamples to the singularity theorems, we identify negative radial pressure as the essential ingredient for evading the Buchdahl bound. It is shown, in particular, that an external observer would attribute a negative pressure to a Schwarzschild-sized bound state of highly excited, long, closed, interacting strings and thus the ability to resist gravitational collapse. Subjects: High Energy Physics-Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc) Cite as: arXiv: 1805.11667 [hep-th](or arXiv: 1805.11667 v1 [hep-th] for this version) S...

publication date

  • May 29, 2018