Dynamics of the dissipative gravitational collapse in Einstein-Gauss-Bonnet gravity
Department of Mathematics, The Islamia University of Bahawalpur, 63100, Bahawalpur, Pakistan
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Accepted: 21 September 2018
Published online: 27 November 2018
In this work, we have investigated the effects of dissipation on the dynamics of a collapsing sphere with heat flux in 5-dimensional Einstein-Gauss-Bonnet gravity. For this purpose, the field equations as well as mass function have been formulated in the 5-dimensional Einstein-Gauss-Bonnet theory of gravity. The Misner-Sharp approach has been implemented to derive the dynamical equations in the form of proper time and radial derivatives in 5-dimensional Einstein-Gauss-Bonnet gravity. We have explored the impact of heat flux on the dynamical collapse of a spherical source. In the context of the Israel-Stewart theory, the heat transport equations are modeled to determine the impacts of radial heat flux with the assumption that in some approximations one may neglect the thermodynamics heat/viscous coupling coefficients. Further, the dynamical equations have been coupled withthe heat transport equation, and the consequences of such equation with the Gauss-Bonnet coupling constant have been discussed in detail.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2018