Horizon Quantum Mechanics for spheroidal sources

Abstract

We start investigating the extension of the Horizon Quantum Mechanics to the case of spheroidal sources. We first study the location of trapping surfaces in space-times resulting from an axial deformation of static isotropic systems, and show that the Misner-Sharp mass evaluated on the corresponding undeformed spherically symmetric space provides the correct gravitational radius to locate the horizon. We finally propose a way to determine the deformation parameter in the quantum theory.

14 pages, 1 figure, final version to appear in EPL

References in corpus (3)

• Horizon Quantum Mechanics of Rotating Black Holes
• Horizons and non-local time evolution of quantum mechanical systems
• Horizon Quantum Mechanics: spherically symmetric and rotating sources

Cited by in corpus (6)

• Gravitational decoupling for axially symmetric systems and rotating black holes
• Turnaround size of non-spherical structures
• Quantum Formation of Primordial Black holes
• Quasilocal mass in scalar-tensor gravity: spherical symmetry
• The marginally trapped surfaces in spheroidal spacetimes
• Horizon Quantum Mechanics of collapsing shells