English

The exponential metric represents a traversable wormhole

General Relativity and Quantum Cosmology 2018-11-07 v3

Abstract

For various reasons a number of authors have mooted an "exponential form" for the spacetime metric: ds2=e2m/rdt2+e+2m/r{dr2+r2(dθ2+sin2θdϕ2)}. ds^2 = - e^{-2m/r} dt^2 + e^{+2m/r}\{dr^2 + r^2(d\theta^2+\sin^2\theta \, d\phi^2)\}. While the weak-field behaviour matches nicely with weak-field general relativity, and so also automatically matches nicely with the Newtonian gravity limit, the strong-field behaviour is markedly different. Proponents of these exponential metrics have very much focussed on the absence of horizons --- it is certainly clear that this geometry does not represent a black hole. However, the proponents of these exponential metrics have failed to note that instead one is dealing with a traversable wormhole --- with all of the interesting and potentially problematic features that such an observation raises. If one wishes to replace all the black hole candidates astronomers have identified with traversable wormholes, then certainly a careful phenomenological analysis of this quite radical proposal should be carried out.

Keywords

Cite

@article{arxiv.1805.03781,
  title  = {The exponential metric represents a traversable wormhole},
  author = {Petarpa Boonserm and Tritos Ngampitipan and Alex Simpson and Matt Visser},
  journal= {arXiv preprint arXiv:1805.03781},
  year   = {2018}
}

Comments

V1: 25 pages. V2: Still 25 pages. 6 references added. No physics changes. V3: Still 25 pages. 2 more references added. No physics changes

R2 v1 2026-06-23T01:50:27.514Z