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@article{76941, author = {Toshmatov, Bobir and Ahmedov, Bobomurat}, article_number = {8}, doi = {http://dx.doi.org/10.1103/PhysRevD.108.084035}, keywords = {tidal forces ;spherically symmetric static parametrized black hole;eodesic deviation equations}, language = {eng}, issn = {2470-0010}, journal = {Physical Review D}, title = {Tidal forces in parametrized spacetime: Rezzolla-Zhidenko parametrization}, url = {https://journals.aps.org/prd/abstract/10.1103/PhysRevD.108.084035}, volume = {108}, year = {2023} }
TY - JOUR ID - 76941 AU - Toshmatov, Bobir - Ahmedov, Bobomurat PY - 2023 TI - Tidal forces in parametrized spacetime: Rezzolla-Zhidenko parametrization JF - Physical Review D VL - 108 IS - 8 SP - "084035-1"-"084035-13" EP - "084035-1"-"084035-13" SN - 24700010 KW - tidal forces ;spherically symmetric static parametrized black hole;eodesic deviation equations UR - https://journals.aps.org/prd/abstract/10.1103/PhysRevD.108.084035 N2 - We investigate the tidal forces exerted by a spherically symmetric static parametrized black hole. Our analysis reveals that the radial and angular components of the tidal forces exerted by the black hole can exhibit both positive and negative values near the black hole, depending on matters of the spacetime parameters. Unlike the scenario with the Schwarzschild black hole, where the radial tidal force (angular tidal force) is always stretching (compressing) and becomes infinite at the center of the spacetime, the parametrized black hole allows for finite and compressing (stretching) forces within the event horizon. Additionally, we derive the geodesic deviation equations for a particle in free fall and proceed to solve them through numerical methods. Our analysis demonstrates that the spacetime parameters epsilon and a1 exhibit contrasting influences on the magnitudes of the physical quantities associated with tidal effects. ER -
TOSHMATOV, Bobir and Bobomurat AHMEDOV. Tidal forces in parametrized spacetime: Rezzolla-Zhidenko parametrization. \textit{Physical Review D}. 2023, vol.~108, No~8, p.~''084035-1''-''084035-13'', 13 pp. ISSN~2470-0010. Available from: https://dx.doi.org/10.1103/PhysRevD.108.084035.
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