Event Horizon of the Monopole-Quadrupole solution: geometric and thermodynamic properties

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 $M$ and quadrupole moment $Q$. The deformation of the Schwarzschild surface $r=2M$ 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.

23 pages, 8 figures. Accepted for publication in Classical and quantum gravity

References in corpus (7)

• Time delay and magnification centroid due to gravitational lensing by black holes and naked singularities
• The inertia of heat and its role in the dynamics of dissipative collapse
• Tolman mass, generalized surface gravity, and entropy bounds
• The Israel Theorem: What is Nature Trying to Tell Us?
• Possible way out of the Hawking paradox: Erasing the information at the horizon
• From geodesics of the multipole solutions to the perturbed Kepler problem
• Newtonian Gravitational Multipoles as Group-Invariant Solutions

Cited by in corpus (3)

• Constraining primordial black holes as a fraction of dark matter through accretion disk luminosity
• Source integrals of multipole moments for static space-times
• A quadrupolar generalization of the Erez-Rosen coordinates