https://doi.org/10.1140/epjc/s10052-022-10678-2
Regular Article - Theoretical Physics
Dynamics of evolving cavity in cluster of stars
1
Department of Mathematics, University of Management and Technology, Johar Town Campus, 54782, Lahore, Pakistan
2
Institute of Chemical Engineering and Technology, University of the Punjab, Quaid-e-Azam Campus, 54590, Lahore, Pakistan
Received:
20
October
2021
Accepted:
3
August
2022
Published online:
23
August
2022
We examine the evolution of cavities within spherically symmetric cluster of stars in high curvature gravity. For this purpose, we use f(R) gravity through the Starobinsky model to incorporate dark matter effects in the discussion. In particular, we check the physical significance of the f(R) model by associating it with the observational data of stellar object 4U182030. For evolution of the cavity, we consider the purely areal evolutionary phase by assuming that the proper distance (in a radial direction) among neighboring stars remains constant. The analytical solutions are obtained among which a few solutions fulfill the Darmois conditions. It is found that the evolution of the cavity in a cluster of stars is highly controlled by the influence of dark matter.
© The Author(s) 2022
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