Regular Article - Theoretical Physics
On the inverse hoop conjecture of Hod
Zel’dovich International Center for Astrophysics, M. Akmullah Bashkir State Pedagogical University, 3A, October Revolution Street, 450008, Ufa, RB, Russia
2 High Energy Cosmic Ray Research Center, University of North Bengal, 734 013, Darjeeling, WB, India
3 Department of Physics and Astronomy, Bashkir State University, 47A, Lenin Street, 453103, Sterlitamak, RB, Russia
4 Department of Medical Physics and Informatics, Bashkir State Medical University, 3, Lenina Street, 450008, Ufa, RB, Russia
Accepted: 30 October 2021
Published online: 13 November 2021
Recently, Hod has shown that Thorne’s hoop conjecture ( horizon) is violated by stationary black holes and so he proposed a new inverse hoop conjecture characterizing such black holes (that is, horizon ). In this paper, it is exemplified that stationary hairy black holes, endowed with Lorentz symmetry violating Bumblebee vector field related to quantum gravity and dilaton field of string theory, also respect the inverse conjecture. It is shown that stationary hairy singularity, recently derived by Bogush and Galt’sov, does not respect the conjecture thereby protecting it. However, curiously, there are two horizonless stationary wormholes that can also respect the conjecture. Thus one may also state that throat , suggesting that the inverse conjecture may be a necessary but not sufficient proposition.
© The Author(s) 2021
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3