Regular Article - Theoretical Physics
Dynamical instability of non-adiabatic gravitating source in Gauss-Bonnet gravity
Department of Mathematics, The Islamia University of Bahawalpur, 63100, Bahawalpur, Pakistan
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Accepted: 21 May 2019
Published online: 28 June 2019
We have discussed the dynamical instability of a collapsing spherical object in the Einstein Gauss-Bonnet gravity. The linear perturbation method is used to construct the collapse equation from the field equations and conservation equations. The instability range for adiabatic index has been investigated by considering Newtonian and Post-Newtonian limits. The relativistic correction of dissipation reduces instability, while the Newtonian and post-Newtonian approximations due to dissipation increase the instability range of adiabatic index . The Gauss-Bonnet term plays a dominant role in increasing the instability of the spherical object.
© Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2019