Evolution of Cluster of Stars in f(R) Gravity

Abstract

This paper explores the dynamics of evolving cluster of stars in the presences of exotic matter. The $f(R)$ theory is used to presume exotic terms for evolution scenario. We use structure scalars as evolution parameters to explore dynamics of spherically symmetric distribution of evolving cluster of stars. We consider Starobinsky model, $f(R)=R+\epsilon R^2$ and study different evolution modes having features like isotropic pressure, density homogeneity, homologous and geodesic behavior. It is concluded that dynamics of these modes of evolution depends upon the behavior of dark matter. The presences of dark matter directly affects the features of cluster like anisotropic pressure, dissipation, expansion, shear as well as density homogeneity. The evolution having homogeneous density and isotropic pressure depends upon conformally flat and non-dissipative behavior of baryonic as well as non baryonic matter. The dissipation factor induces density inhomogeneity in the expanding clusters having shear effects. The non dissipative homologous evolution also be discussed in the presence and absence of shear effects. It is found that high curvature geometry in the presence of shear supports homologous evolution. Expanding clusters are also explored in the presences of dissipation of dark matter and shear effects. By using quasi-homologous conditions the geodesic evolution is studied. It is theoretically showed that geodesic and homologous conditions depends upon each other. Finally we investigate behavior of Starobinsky model for a stellar structure $4U1820-30$ toward center. It is found that for increasing values of $\epsilon$ the DM behavior is dominant as compare to baryonic matter.

References in corpus (8)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• The Mass and Radius of the Neutron Star in 4U 1820-30
• Hydrostatic equilibrium and stellar structure in f(R)-gravity
• Dark matter as a geometric effect in f(R) gravity
• Dark Matter from R^2-gravity
• Dissipative collapse of axially symmetric, general relativistic, sources: A general framework and some applications
• On the Role of $f(G,T)$ Terms in Structure Scalars
• Star Cluster Evolution in Dark Matter Dominated Galaxies

Cited by in corpus (6)

• Role of Non-conserved Gravity Theory and Electric Charge in Constructing Complexity-free Stellar Models: A Novel Approach under Non-minimal Coupling
• Bouncing cosmological models in $f(R,L_m)$ gravity
• Implications of Rastall Theory on Stellar Solutions admitting Vanishing Complexity: A New Perspective
• Possible Existence of Ghost Stars in the context of Electromagnetic Field
• Nonlinear evolution of anisotropic matter configurations under higher-order curvature corrections
• The Impact of $f(\mathcal{G},T)$ Gravity on the Evolution of Cavity in the Cluster of Stars