Gravitational Perfect Fluid Collapse in Gauss-Bonnet Gravity

Abstract

The Einstein Gauss-Bonnet theory of gravity is the low energy limit of heterotic super-symmetric string theory. This paper deals gravitational collapse of perfect fluid in Einstein Gauss-Bonnet gravity by considering the Lemaitre - Tolman - Bondi metric. For this purpose, the closed form of exact solution of equations of motion has been determined by using the conservation of stress-energy tensor and the condition of marginally bound shells. It has been investigated that the presence of Gauss-Bonnet coupling term $\alpha >0$ and pressure of the fluid modifies the structure and time formation of singularity. In this analysis singularity form earlier than horizon, so end state of the collapse is a naked singularity depending on the initial data. But this singularity is weak and timelike that goes against the investigation of general relativity.

arXiv comment16 pages, 3 Figures; some future research directions mentioned; to appear in European Physical Journal C

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Cited by in corpus (4)

• Gravitational Collapse in Rastall Gravity
• Dynamical Instability of Spherical Anisotropic Sources in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity
• Null Fluid collapse in Rastall theory of gravity
• Gravitational Collapse without Singularity Formation in Brans-Dicke Theory