Marginally Trapped Surfaces in Spherical Gravitational Collapse

Abstract

This paper deals with a detail study of gravitational collapse of dust and viscous fluids under the assumptions of spherical symmetry. Our main goal is to closely analyze the horizons which arise during this gravitational phenomenon. To this end, we examine the formation and evolution of trapped surfaces in these spacetimes, with special attention to trapped regions and cylinders foliated by marginally trapped surfaces. The time evolution of trapped surfaces, collapsing shell as well as the event horizon are identified analytically as well as numerically. Using different density profiles of matter, we analyze, how the nature of the marginally trapped surfaces modify as we change the energy momentum tensor. These studies reveal that depending on the mass function and the mass profile, it is possible to envisage situations where dynamical horizons, timelike tubes or isolated horizons may arise.

arXiv comment50 pages, 16 figures, typos corrected, references added

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• Effective Quantum Dust Collapse via Surface Matching
• Gravitationally collapsing stars in $f(R)$ gravity
• Horizons in a binary black hole merger I: Geometry and area increase
• Gravitational Collapse in the EGB Gravity
• Quantum vacuum effects on the formation of black holes
• Causal description of marginally trapped surfaces in D-dimensions
• Spherical trapped surfaces in n-dimensional general relativity
• Formation of Singularity and Apparent Horizon for Dissipative Collapse in $f(R,T)$ Theory of Gravity