English

Maximal volume behind horizons without curvature singularity

General Relativity and Quantum Cosmology 2018-01-31 v2 High Energy Physics - Theory

Abstract

The black hole information paradox is related to the area of event horizon, and potentially to the volume and singularity behind it. One example is the complexity/volume duality conjectured by Stanford and Susskind. Accepting the proposal of Christodoulou and Rovelli, we calculate the maximal volume inside regular black holes, which are free of curvature singularity, in asymptotically flat and anti-de Sitter spacetimes respectively. The complexity/volume duality is then applied to anti-de Sitter regular black holes. We also present an analytical expression for the maximal volume outside the de Sitter horizon.

Keywords

Cite

@article{arxiv.1702.05246,
  title  = {Maximal volume behind horizons without curvature singularity},
  author = {Shao-Jun Wang and Xin-Xuan Guo and Towe Wang},
  journal= {arXiv preprint arXiv:1702.05246},
  year   = {2018}
}

Comments

11 pages, 4 figures, Sect III improved

R2 v1 2026-06-22T18:20:57.767Z