Evolution of axially symmetric anisotropic sources in f (r, t) gravity
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Date
2015
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Publisher
The European Physical Journal C
Abstract
We discuss the dynamical analysis in f (R, T )
gravity (where R is the Ricci scalar and T is the trace of
the energy momentum tensor) for gravitating sources carrying
axial symmetry. The self-gravitating system is taken
to be anisotropic and the line element describes an axially
symmetric geometry avoiding rotation about the symmetry
axis and meridional motions (zero vorticity case). The modified
field equations for axial symmetry in f (R, T ) theory are
formulated, together with the dynamical equations. Linearly
perturbed dynamical equations lead to the evolution equation
carrying the adiabatic index , which defines the impact
of a non-minimal matter to geometry coupling on the range
of instability for Newtonian and post-Newtonian approximations.
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Citation
Zubair, M., & Noureen, I. (2015). Evolution of Axially Symmetric Anisotropic Sources in $ f (R, T) $ Gravity. arXiv preprint arXiv:1505.00744.