Tidal forces in Bocharova–Bronnikov–Melnikov–Bekenstein spacetime
Turimov B. Urinov S. Mardiev I. Usanov S. Akylbayev M. Kenzhebekova R.
April 2026Springer Science and Business Media Deutschland GmbH
Arabian Journal of Mathematics
2026#15Issue 1421 - 432 pp.
We examine the tidal forces exerted by the Bocharova–Bronnikov–Melnikov–Bekenstein (BBMB) black hole and analyze their behavior. Our findings indicate that the radial and angular components of these forces can take both positive and negative values near the black hole, depending on the spacetime parameters. Unlike the Schwarzschild black hole, where the radial tidal force always stretches and the angular tidal force always compresses—both diverging at the event horizon—the BBMB black hole allows for finite tidal forces that can either stretch or compress within the event horizon. Furthermore, we derive the geodesic deviation equations for a freely falling particle and solve them numerically. Our results reveal that the initial position has opposing effects on the magnitudes of the physical quantities related to tidal forces.
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Ulugh Beg Astronomical Institute, Astronomy Str. 33, Tashkent, 100052, Uzbekistan
Central Asian University, Milliy bog Str. 264, Tashkent, 111221, Uzbekistan
University of Tashkent for Applied Sciences, Gavhar Str. 1, Tashkent, 100149, Uzbekistan
Samarqand State Pedagogical Institute, Spitamen Shokh Str. 166, Samarkand, 140100, Uzbekistan
Kimyo International University in Tashkent, Shota Rustaveli Str.156, Tashkent, 100121, Uzbekistan
Peoples’ Friendship University Named After Academician A.Kuatbekov, Shymkent, Tole bi Str., 32, Shymkent, 160000, Kazakhstan
Tashenev University, Kunaev Ave. 21, Shymkent, 160012, Kazakhstan
Ulugh Beg Astronomical Institute
Central Asian University
University of Tashkent for Applied Sciences
Samarqand State Pedagogical Institute
Kimyo International University in Tashkent
Peoples’ Friendship University Named After Academician A.Kuatbekov
Tashenev University
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Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026