Dynamical instability and expansion-free condition in f (r, t) gravity
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Date
2015
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European. Physics Journal C
Abstract
A dynamical analysis of a spherically symmetric
collapsing star surrounded by a locally anisotropic environment
under an expansion-free condition is presented in
f (R, T ) gravity, where R corresponds to the Ricci scalar
and T stands for the trace of the energy momentum tensor.
The modified field equations and evolution equations
are reconstructed in the framework of f (R, T ) gravity. In
order to acquire the collapse equation we implement the perturbation
on all matter variables and dark source components
comprising the viable f (R, T ) model. The instability range
is described in the Newtonian and post-Newtonian approximation.
It is observed that the unequal stresses and density
profile define the instability range rather than the adiabatic
index. However, the physical quantities are constrained to
maintain positivity of the energy density and a stable stellar
configuration.
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Citation
Ifra Noureen, M. Zubair (2015). Dynamical instability and expansion-free condition in f (R, T) gravity. European. Physics Journal C 75(62). DOI 10.1140/epjc/s10052-015-3289-9