English

Can Martinez's conjecture be extended to string theory?

General Relativity and Quantum Cosmology 2010-05-12 v2 High Energy Physics - Theory

Abstract

The universality of Martinez's conjecture, which states that the quasilocal energy of a black hole at the outer horizon reduces to twice its irreducible mass, or equivalently, to A/4π\sqrt{A/4\pi} (AA is the area of the black hole), is investigated by calculating Brown-York quasilocal energies for stationary black holes in heterotic string theory, e. g., for the stationary Kaluza-Klein black hole, the rotating Cveticˇ\check{c}-Youm black hole, the stationary axisymmetric Einstein-Maxwell-dilaton-axion black hole, and the Kerr-Sen black hole. It is shown that Martinez's conjecture can be extended from general relativity to heterotic string theory since the quasilocal energies of these stationary black holes tend to their Arnowitt-Dener-Misner masses at spatial infinity, and reduce to A/4π\sqrt{A/4\pi} at the event horizons.

Keywords

Cite

@article{arxiv.gr-qc/0110037,
  title  = {Can Martinez's conjecture be extended to string theory?},
  author = {Jiliang Jing and Shiliang Wang},
  journal= {arXiv preprint arXiv:gr-qc/0110037},
  year   = {2010}
}

Comments

14 pages, nofigures, LaTex. Accepted for publication in Phys. Rev. D

R2 v1 2026-07-22T12:34:34.223Z