Spherical trapped surfaces in n-dimensional general relativity

Abstract

In this paper, we examine gravitational collapse of matter fields in $n$-dimensional general relativity. The matter energy-momentum tensor under consideration includes dust, perfect fluids with equations of state and matter admitting bulk and shear viscosity. By adjusting various parameters of the matter energy-momentum tensor, we determine the trapped region and spherical marginally trapped surfaces in homogeneous and inhomogeneous models of collapse. We show that, as expected, the time development of marginally trapped tube is intricately related to the initial velocity and density profiles of the collapsing matter configuration. This study clarifies the role of initial data in the formation of spacetime singularity during gravitational collapse and implies that, under generic conditions on the matter profiles, the central spacetime singularity is always covered by a horizon.

Published in Physical Review D

References in corpus (35)

• Background Independent Quantum Gravity: A Status Report
• Isolated and dynamical horizons and their applications
• Dynamical Horizons and their Properties
• Introduction to Isolated Horizons in Numerical Relativity
• Dynamical Horizons: Energy, Angular Momentum, Fluxes and Balance Laws
• Black hole boundaries
• Classification of the Weyl Tensor in Higher Dimensions
• Local existence of dynamical and trapping horizons
• Recent developments in gravitational collapse and spacetime singularities
• Black Holes in Loop Quantum Gravity
• Final fate of spherically symmetric gravitational collapse of a dust cloud in Einstein-Gauss-Bonnet gravity
• Introduction to dynamical horizons in numerical relativity
• Marginally trapped tubes and dynamical horizons
• Isolated, slowly evolving, and dynamical trapping horizons: geometry and mechanics from surface deformations
• Spherical gravitational collapse in N-dimensions
• Exponential corrections to black hole entropy
• The region with trapped surfaces in spherical symmetry, its core, and their boundaries
• Non-symmetric trapped surfaces in the Schwarzschild and Vaidya spacetimes
• Ricci identities in higher dimensions
• Formation of a galaxy with a central black hole in the Lemaitre-Tolman model
• Outer Trapped Surfaces in Vaidya Spacetimes
• A Note on trapped Surfaces in the Vaidya Solution
• The slicing dependence of non-spherically symmetric quasi-local horizons in Vaidya Spacetimes
• Laws of Black Hole Mechanics from Holst Action
• On the proximity of black hole horizons: lessons from Vaidya
• Gravitational Collapse in the EGB Gravity
• Marginally Trapped Surfaces in Spherical Gravitational Collapse
• Trapped surfaces in Oppenheimer-Snyder black holes
• Hawking radiation from dynamical horizons
• Unstable marginally outer trapped surfaces in static spherically symmetric spacetimes
• Quasilocal conformal Killing horizons: Classical phase space and the first law
• Quasilocal rotating conformal Killing horizons
• Collapse and bounce of null fluids
• Some spacetimes containing non-rotating extremal isolated horizons
• Causal description of marginally trapped surfaces in D-dimensions