Event Horizon of the Monopole-Quadrupole solution: geometric and thermodynamic properties
General Relativity and Quantum Cosmology
2011-11-03 v1 Solar and Stellar Astrophysics
Abstract
We investigate the general geometric properties of the surface of infinite red-shift corresponding to the event horizon of the static and axisymmetric solution of the Einstein vacuum equations that only possesses mass and quadrupole moment . The deformation of the Schwarzschild surface produced by the quadrupole moment is shown, and the range of values of this multipole moment is specified, which preserves a regular, closed, continuous and differentiable surface. Some thermodynamic consequences and speculations ensuing from our results are discussed.
Keywords
Cite
@article{arxiv.1110.2002,
title = {Event Horizon of the Monopole-Quadrupole solution: geometric and thermodynamic properties},
author = {J. L. Hernandez-Pastora and L. Herrera},
journal= {arXiv preprint arXiv:1110.2002},
year = {2011}
}
Comments
23 pages, 8 figures. Accepted for publication in Classical and quantum gravity