Dynamical Stability of Collapsing Stars in Einstein Gauss-Bonnet Gravity

Abstract

This paper is devoted to study the stability/instability of the expansionfree self gravitating source in the framework of Einstein Gauss-Bonnet gravity. The source has been taken as Tolman-Bondi model which is homogenous in nature. The field equations as dynamical equations have been evaluated in Gauss-Bonnet gravity in five dimensions. The junction conditions as well as cavity evaluations equations have been explored in detail. The perturbation scheme of first order has been applied to dynamical as Einstein Gauss-Bonnet field equations. The concept of Newtonian as well post Newtonian approximation have been used to derive general dynamical stability equations. In general this equation represents the stability of the gravitating source. Some particular values of system parameters have been chosen to prove the concept of stability graphically. It has been mentioned that other than chosen the particular values of the parameters the stability of the system would be disturbed, hence it would leads to instability.

19 Pages, 6 figures

References in corpus (19)

• A Large Mass Hierarchy from a Small Extra Dimension
• The Hierarchy Problem and New Dimensions at a Millimeter
• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
• 4D Gravity on a Brane in 5D Minkowski Space
• Black Holes at the LHC
• High Energy Colliders as Black Hole Factories: The End of Short Distance Physics
• Gravity on a Brane in Infinite-Volume Extra Space
• Extragalactic Radio Sources and the WMAP Cold Spot
• Dynamical instability and the expansion-free condition
• Cosmological Solutions of Higher-Curvature String Effective Theories with Dilatons
• Effects of Gauss-Bonnet term on the final fate of gravitational collapse
• Minivoids in the Local Volume
• Inhomogeneous Dust Collapse in 5D Einstein-Gauss-Bonnet Gravity
• Black Hole Production at LHC: String Balls and Black Holes from pp and Lead-lead Collisions
• Cavity evolution in relativistic self-gravitating fluids
• Naked Singularities in Higher Dimensional Gravitational Collapse
• A Vaidya-type radiating solution in Einstein-Gauss-Bonnet gravity and its application to braneworld
• Effects of Electromagnetic Field on the Dynamical Instability of Expansionfree Gravitational Collapse
• Stability of a Class of Non-Static Axial Self-Gravitating Systems in $f(R)$ Gravity

Cited by in corpus (2)

• Gravitational Perfect Fluid Collapse in Gauss-Bonnet Gravity
• Dissipative Cylindrical Collapse of a Charged Anisotropic Fluid in $f(R)$ Gravity