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Gravitational Perfect Fluid Collapse in Gauss-Bonnet Gravity
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
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.Comment: 16 pages, 3 Figures; some future research directions mentioned; to
appear in European Physical Journal
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