Gravitational collapse of compact stars in $f(R)=\xi R^4$ gravity

Abstract

Model of gravitational collapse of anisotropic compact stars in a new theory of $f(R)$ gravity has been developed. The author considers the modified gravity model of $f(R)=\xi R^4$ to investigate a physically acceptable model of gravitational collapse of anisotropic compact stars. First, the author presents a brief review of the development of field equations of gravitational collapse in $f(R)$ gravity for a particular interior metric for compact stars. Then analytical solutions for various physical quantities of collapsing anisotropic compact stars in $\xi R^4$ gravity have been developed. By analyzing plots of various physical parameters and conditions, it is shown that the model is physically acceptable for describing the gravitational collapse of anisotropic compact stars in $f(R)=\xi R^4$ gravity.

References in corpus (9)

• Dynamics of dark energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Extreme neutron stars from Extended Theories of Gravity
• Dark Matter from R^2-gravity
• Causal Limit of Neutron Star Maximum Mass in $f(R)$ Gravity in View of GW190814
• Collapsing spherical stars in f(R) gravity
• Gravitational Collapse in General Relativity and in $R^2$-gravity: A Comparative Study
• Slow-roll inflation in (R+R*4) gravity
• Collapse Geometry in Inhomogeneous FRW model

Cited by in corpus (2)

• Spherical doubly warped spacetimes for radiating stars and cosmology
• Spherically symmetric gravitational collapse in the background of Chaplygin gas