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.

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

References in corpus (5)

• Generalized Misner-Sharp quasi-local mass in Einstein-Gauss-Bonnet gravity
• Geodesic Study of Regular Hayward Black Hole
• Dynamics of Anisotropic Collapsing Spheres in Einstein Gauss-Bonnet Gravity
• Junction Conditions and Consequences of Quasi-Spherical Space-Time with Electro-Magnetic Field and Vaidya Matric
• Dynamical Stability of Collapsing Stars in Einstein Gauss-Bonnet Gravity

Cited by in corpus (2)

• Gravitational Collapse in Rastall Gravity
• Gravitational Collapse without Singularity Formation in Brans-Dicke Theory