Gravitational collapse of anisotropic compact stars in modified f(R) gravity

The physically realistic model of compact stars undergoing gravitational collapse in f ( R ) gravity has been developed. We consider a more general model R + f ( R ) = R + k R m and describe the interior space-time of gravitationally collapsing stars with separable form of metric admitting homotheti...

Full description

Saved in:
Bibliographic Details
Published in:European physical journal plus 2022-05, Vol.137 (5), p.557, Article 557
Main Author: Solanki, Jay
Format: Article
Language:English
Subjects:
Applied and Technical Physics
Atomic
Boundary conditions
Complex Systems
Condensed Matter Physics
Energy
Exact solutions
Flux density
Gravitational collapse
Gravity
Heat flux
Mathematical and Computational Physics
Molecular
Neutron stars
Neutrons
Optical and Plasma Physics
Physical properties
Physics
Physics and Astronomy
Regular Article
Relativity
Spacetime
Stars & galaxies
Theoretical
Theory of relativity
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The physically realistic model of compact stars undergoing gravitational collapse in f ( R ) gravity has been developed. We consider a more general model R + f ( R ) = R + k R m and describe the interior space-time of gravitationally collapsing stars with separable form of metric admitting homothetic killing vector. We then investigate the junction conditions to match the interior space-time with exterior space-time. Considering all junction conditions, we find analytical solutions describing interior space-time metric, energy density, pressures and heat flux density of the compact stars undergoing gravitational collapse. We impose the energy conditions to the model for describing the realistic collapse of physically possible matter distribution for particular models of GR, R + k R 2 and R + k R 4 gravity. The comprehensive graphical analysis of all energy conditions shows that the model is physically acceptable and realistic. We additionally investigate the physical properties of collapsing stars which are useful to decipher the inherent nature of such gravitationally collapsing stars.
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/s13360-022-02784-7