Comment on "Absence of trapped surfaces and singularities in cylindrical collapse"

Abstract

Recently, the gravitational collapse of an infinite cylindrical thin shell of matter in an otherwise empty spacetime with two hypersurface orthogonal Killing vectors was studied by Gonçalves [Phys. Rev. {\bf D65}, 084045 (2002).]. By using three "alternative" criteria for trapped surfaces, the author claimed to have shown that {\em they can never form either outside or on the shell, regardingless of the matter content for the shell, except at asymptotical future null infinite}. Following Penrose's original idea, we first define trapped surfaces in cylindrical spacetimes in terms of the expansions of null directions orthogonal to the surfaces, and then show that the first criterion used by Gonçalves is incorrect. We also show that his analysis of non-existence of trapped surfaces in vacuum is incomplete. To confirm our claim, we present an example that is a solution to the vacuum Einstein field equations and satisfies all the regular conditions imposed by Gonçalves. After extending the solution to the whole spacetime, we show explicitly that trapped surfaces exist in the extended region.

arXiv commentlatex, 2 figures, the last version to appear in Phys. Rev. D

References in corpus (8)

• General Laws of Black-Hole Dynamics
• No Black Hole Theorem in Three-Dimensional Gravity
• On "asymptotically flat" space-times with $G_2$-invariant Cauchy surfaces
• Gravitational waves, black holes and cosmic strings in cylindrical symmetry
• Critical Collapse of Cylindrically Symmetric Scalar Field in Four-Dimensional Einstein's Theory of Gravity
• Absence of trapped surfaces and singularities in cylindrical collapse
• Unpolarized radiative cylindrical spacetimes: Trapped surfaces and quasilocal energy
• Rotating cylindrical shell source for Lewis spacetime

Cited by in corpus (21)

• Thermodynamics and classification of cosmological models in the Horava-Lifshitz theory of gravity
• Exploring Cylindrical Solutions in Modified f(G) Gravity
• Cylindrical Systems in General Relativity
• Singularities in Horava-Lifshitz theory
• Lifshitz spacetimes, solitons, and generalized BTZ black holes in quantum gravity at a Lifshitz point
• Black holes and global structures of spherical spacetimes in Horava-Lifshitz theory
• Existence of black holes in Friedmann-Robertson-Walker universe dominated by dark energy
• Topological Charged Black Holes in High Dimensional Spacetimes and Their Formation from Gravitational Collapse of a Type II Fluid
• Static electromagnetic fields and charged black holes in general covariant theory of Horava-Lifshitz gravity
• Revisiting quantum black holes from effective loop quantum gravity
• Exact solution for the massless Cylindrically Symmetric Scalar Field in General Relativity, with Cosmological Constant
• Nonexistence of quantum black and white hole horizons in an improved dynamic approach
• On the improved dynamics approach in loop quantum black holes
• The effect of radiative gravitational modes on the dynamics of a cylindrical shell of counter rotating particles
• Axial symmetry Type N space-time with a naked curvature singularity and Closed Time-like Curves
• Lessons from gauge fixing and polymerization of loop quantum black holes with a cosmological constant
• A new quantization scheme of black holes in effective loop quantum gravity
• Spacetime Singularities in String and its Low Dimensional Effective Theory
• Dressing a Naked Singularity: an Example
• Asymptotics of Solutions of a Perfect Fluid Coupled with a Cosmological Constant in Four-Dimensional Spacetime with Toroidal Symmetry
• Gravitational Collapse of an Imperfect Non Adiabatic Fluid