https://doi.org/10.1140/epjc/s10052-020-08717-x
Regular Article – Theoretical Physics
Can accretion properties distinguish between a naked singularity, wormhole and black hole?
1
Zel’dovich International Center for Astrophysics, Bashkir State Pedagogical University, 3A, October Revolution Street, 450008, Ufa, RB, Russia
2
Department of Physics and Astronomy, Bashkir State University, 47A, Lenin Street, 453103, Sterlitamak, RB, Russia
3
High Energy Cosmic Ray Research Center, University of North Bengal, 734 013, Darjeeling, WB, India
Received:
30
December
2019
Accepted:
27
November
2020
Published online:
10
December
2020
We first advance a mathematical novelty that the three geometrically and topologically distinct objects mentioned in the title can be exactly obtained from the Jordan frame vacuum Brans I solution by a combination of coordinate transformations, trigonometric identities and complex Wick rotation. Next, we study their respective accretion properties using the Page–Thorne model which studies accretion properties exclusively for 
(the minimally stable radius of particle orbits), while the radii of singularity/throat/horizon 
. Also, its Page–Thorne efficiency 
is found to increase with decreasing 
and also yields 
for Schwarzschild black hole (SBH). But in the singular limit 
(radius of singularity), we have 
giving rise to 
efficiency in agreement with the efficiency of the naked singularity constructed in [10]. We show that the differential accretion luminosity 
of Buchdahl naked singularity (BNS) is always substantially larger than that of SBH, while Eddington luminosity at infinity 
for BNS could be arbitrarily large at due to the scalar field 
that is defined in 
. It is concluded that BNS accretion profiles can still be higher than those of regular objects in the universe.
© The Author(s) 2020
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
