Cosmological Dynamics and Black Hole Accretion in Starobinsky-Type f(R) Gravity

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In this study, we investigate the evolution of the universe by analyzing key cosmological parameters, including the Hubble parameter, deceleration parameter, and jerk parameter, within the framework of Starobinsky-type metric f(R) gravity. Our findings indicate that the universe is currently undergoing an accelerated phase of expansion. Again, our analysis on jerk parameter reveals that the rate of accelerated expansion increases monotonically over time. Moreover, we extend our study to explore black hole dynamics within the metric f(R) gravity under Starobinsky’s assumption by considering accretion: absorption of surrounding’s energy-matter by the black holes. Our results suggest that a higher accretion rate leads to an increase in black hole mass and extends its lifespan. Furthermore, our analysis indicates that certain black holes may completely evaporate at a specific redshift, irrespective of their initial mass at formation.

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Metric f(R) gravity, Starobinsky Model, power-law cosmology, cosmological parameter, black hole evaporation

Короткий адрес: https://sciup.org/142245864

IDR: 142245864   |   УДК: 524.834   |   DOI: 10.17238/issn2226-8812.2025.2.72-80