Regular Article – Theoretical Physics
Can accretion properties distinguish between a naked singularity, wormhole and black hole?
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
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 . 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
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