Volume 121, Number 6, March 2018
|Number of page(s)||7|
|Published online||16 May 2018|
Horizon quantum mechanics for spheroidal sources
1 Dipartimento di Fisica e Astronomia, Università di Bologna - via Irnerio 46, I-40126 Bologna, Italy
2 INFN, Sezione di Bologna, IS - FLAG - via B. Pichat 6/2, I-40127 Bologna, Italy
3 Arnold Sommerfeld Center, Ludwig-Maximilians-Universität - Theresienstraße 37, D-80333 München, Germany
4 Department of Mathematics, Quaid-i-Azam University - Islamabad, Pakistan
Received: 22 January 2018
Accepted: 27 April 2018
We start investigating the extension of the horizon quantum mechanics to the case of non-spherical 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.
PACS: 04.20.-q – Classical general relativity / 04.20.Gz – Spacetime topology, causal structure, spinor structure / 04.70.Bw – Classical black holes
© EPLA, 2018
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