Abstract
In this paper, we have analyzed the stability of cylindrically symmetric collapsing object filled with locally anisotropic fluid in f(R, T) theory, where R is the scalar curvature and T is the trace of stress-energy tensor of matter. Modified field equations and dynamical equations are constructed in f(R, T) gravity. The evolution or collapse equation is derived from dynamical equations by performing a linear perturbation on them. The instability range is explored in both the Newtonian and the post-Newtonian regimes with the help of an adiabetic index, which defines the impact of the physical parameters on the instability range. Some conditions are imposed on the physical quantities to secure the stability of the gravitating sources.
Highlights
Astrophysics and theories regarding gravity bear two emerging issues: the aftermath of gravitational collapse and exploration regarding the stability of celestial bodies
The f (R, T ) model we have considered for the evolution analysis is a combination of the extended Starobinsky model [51] and a linear term of trace T, written mathematically as f (R, T ) = R + α R2 + γ Rn + λT, (22)
The cosmological observations from recent data-sets like the cosmic microwave background, clustering spectrum, weak lensing, Planck data, and supernovae type Ia revealed that the universe is expanding at an accelerated rate
Summary
Astrophysics and theories regarding gravity bear two emerging issues: the aftermath of gravitational collapse and exploration regarding the stability of celestial bodies. 1964, Chandrasekhar [4] presented investigations of a primary level on the dynamical stability of spherical bodies He pinpointed the instability range of a star assuming mass M and radius r with the help of the adiabatic index using the inequality. The f (R, T ) theory of gravity covers curvature and matter coupling and its action includes an arbitrary function of the Ricci scalar R and the trace of the energy-momentum tensor T After its introduction, this gained significant attention and authors discussed its various properties including reconstructions schemes, energy conditions, cosmological and thermodynamical implications, neutron stars, scalar perturbations, wormholes and analysis of anisotropic universe models, stability, etc. In order to present this analysis we employ a perturbation approach to the collapse equations and explore the instability range of the model under consideration with the help of the adiabatic index in both the Newtonian and the post-Newtonian regimes. Where a ‘dot’ indicates a partial derivative w.r.t. the time coordinate
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
