Can Martinez's conjecture be extended to string theory?

Details Can Martinez's conjecture be extended to string theory? Can Martinez's conjecture be extended to string theory?

2001-10-08

arxiv.org/abs/gr-qc/0110037v2

Phys.Rev.D65:064001,2002

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1103/PhysRevD.65.064001

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 $\sqrt{A/4\pi}$ ($A$ 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 Cveti$\check{c}$-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 $\sqrt{A/4\pi}$ at the event horizons.

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