English

A No Black Hole Theorem

High Energy Physics - Theory 2015-06-23 v2 General Relativity and Quantum Cosmology

Abstract

We show that one cannot put a stationary (extended) black hole inside certain gravitating flux-tubes. This includes an electric flux-tube in five-dimensional Einstein-Maxwell theory, as well as the standard flux-branes of string theory. The flux always causes the black hole to grow indefinitely. One finds a similar restriction in a Kaluza-Klein setting where the higher dimensional spacetime contains no matter.

Keywords

Cite

@article{arxiv.1410.1875,
  title  = {A No Black Hole Theorem},
  author = {Gavin S. Hartnett and Gary T. Horowitz and Kengo Maeda},
  journal= {arXiv preprint arXiv:1410.1875},
  year   = {2015}
}

Comments

20 pages, 4 figures. v2: reference added

R2 v1 2026-06-22T06:15:31.820Z