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Dynamics of viscous dissipative collapse with casual approach in string inspired Gauss-Bonnet gravity. (English) Zbl 1411.83106

Summary: In this work, we have studied the effects of dissipative viscous/heat gravitational collapse on the dynamics of collapsing source in 5D Einstein-Gauss-Bonnet theory using full casual approach. For this purpose, the dynamical equations have been formulated by using Misner-Sharp approach in 5D Einstein-Gauss-Bonnet theory of gravity. Using the Müller-Israel-Stewart theory, the dynamical equations have coupled with casual transport equations for the heat flux, the bulk and shear bulk viscosity to determine the effects of heat flux including thermodynamics viscous/heat coupling coefficients. The applications of this work to certain astrophysical situations are discussed.

MSC:

83E15 Kaluza-Klein and other higher-dimensional theories
83E30 String and superstring theories in gravitational theory
83C20 Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory
76Y05 Quantum hydrodynamics and relativistic hydrodynamics
Full Text: DOI

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