Marginally trapped tubes and dynamical horizons

Abstract

We investigate the generic behaviour of marginally trapped tubes (roughly time-evolved apparent horizons) using simple, spherically symmetric examples of dust and scalar field collapse/accretion onto pre-existing black holes. We find that given appropriate physical conditions the evolution of the marginally trapped tube may be either null, timelike, or spacelike and further that the marginally trapped two-sphere cross-sections may either expand or contract in area. Spacelike expansions occur when the matter falling into a black hole satisfies $\rho -P\le 1/A$, where $A$ is the area of the horizon while $\rho$ and $P$ are respectively the density and pressure of the matter. Timelike evolutions occur when $(\rho -P)$ is greater than this cut-off and so would be expected to be more common for large black holes. Physically they correspond to horizon "jumps" as extreme conditions force the formation of new horizons outside of the old.

arXiv comment31 pages, many figures. Final Version to appear in CQG: improvements include more complete references, a discussion of those references, Penrose-Carter diagrams for several of the spacetimes, and improved numerics for the scalar fields

References in corpus (29)

• General Laws of Black-Hole Dynamics
• Dynamical Horizons and their Properties
• Isolated Horizons: Hamiltonian Evolution and the First Law
• Three-dimensional relativistic simulations of rotating neutron-star collapse to a Kerr black hole
• Introduction to Isolated Horizons in Numerical Relativity
• Dynamical Horizons: Energy, Angular Momentum, Fluxes and Balance Laws
• Singularity Theorems and Their Consequences
• Generic Isolated Horizons and their Applications
• Mechanics of Rotating Isolated Horizons
• Local existence of dynamical and trapping horizons
• Geometry of Generic Isolated Horizons
• Mechanics of Isolated Horizons
• Isolated Horizons: A Generalization of Black Hole Mechanics
• Multipole Moments of Isolated Horizons
• The first law for slowly evolving horizons
• Energy and entropy conservation for dynamical black holes
• Energy conservation for dynamical black holes
• Exact solution for scalar field collapse
• Quantum horizons and black hole entropy: Inclusion of distortion and rotation
• The Penrose inequality and apparent horizons
• Laws Governing Isolated Horizons: Inclusion of Dilaton Couplings
• Horizon energy and angular momentum from a Hamiltonian perspective
• On the existence of horizons in spacetimes with vanishing curvature invariants
• Regularization of spherically symmetric evolution codes in numerical relativity
• Shell crossing in generalized Tolman-Bondi spacetimes
• Horizon Pretracking
• Quasi-spherical approximation for rotating black holes
• Gravitational waves from quasi-spherical black holes
• Dynamical evolution of unstable self-gravitating scalar solitons

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• Black hole evaporation: A paradigm
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• Fast Radio Bursts and White Hole Signals
• Isolated, slowly evolving, and dynamical trapping horizons: geometry and mechanics from surface deformations
• PBH formation from spherically symmetric hydrodynamical perturbations: a review
• Primordial Black Holes
• The region with trapped surfaces in spherical symmetry, its core, and their boundaries
• Extremality conditions for isolated and dynamical horizons
• Black Hole evaporation: A Perspective from Loop Quantum Gravity
• Proof of a New Area Law in General Relativity
• On the fate of quantum black holes
• Foliation dependence of black hole apparent horizons in spherical symmetry
• Making sense of the bizarre behaviour of horizons in the McVittie spacetime
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• Dynamics of marginally trapped surfaces in a binary black hole merger: Growth and approach to equilibrium
• From Geometry to Numerics: interdisciplinary aspects in mathematical and numerical relativity
• Spacetime near isolated and dynamical trapping horizons
• Asymptotically FRW black holes
• A Reformulation of the Hoop Conjecture
• Black-hole horizons as probes of black-hole dynamics II: geometrical insights
• Cosmic Equilibration: A Holographic No-Hair Theorem from the Generalized Second Law
• Are quantization rules for horizon areas universal?
• An introduction to local Black Hole horizons in the 3+1 approach to General Relativity
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• The existence and stability of marginally trapped surfaces
• Causal Nature and Dynamics of Trapping Horizons in Black Hole Collapse
• Asymptotic Behavior of Spherically Symmetric Marginally Trapped Tubes
• What Happens to Apparent Horizons in a Binary Black Hole Merger?
• Horizon dynamics of distorted rotating black holes
• Closed trapping horizons without singularity
• Ultimate fate of apparent horizons during a binary black hole merger II: Horizons weaving back and forth in time
• Astrophysical Black Hole horizons in a cosmological context: Nature and possible consequences on Hawking Radiation
• MOTS in Schwarzschild: multiple self-intersections and extreme mass ratio mergers
• Fundamental properties and applications of quasi-local black hole horizons
• On the proximity of black hole horizons: lessons from Vaidya
• Some Result on Cosmological and Astrophysical Horizons and Trapped Surfaces
• Horizons in a binary black hole merger I: Geometry and area increase
• Marginally Trapped Surfaces in Spherical Gravitational Collapse
• Gravitational Collapse in the EGB Gravity
• Quasi-Local Black Hole Horizons: Recent Advances
• Trapped surfaces in Oppenheimer-Snyder black holes
• Construction of a Penrose Diagram for a Spatially Coherent Evaporating Black Hole
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• Backreaction of scalar waves on black holes at low frequencies
• Thermodynamics with conformal Killing vector in the charged Vaidya metric
• Entropy, energy and temperature-length inequality for Friedmann universes
• Symmetry and instability of marginally outer trapped surfaces
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• An excision scheme for black holes in constrained evolution formulations: spherically symmetric case
• Horizon area bound and MOTS stability in locally rotationally symmetric solutions
• Stability of marginally outer trapped surfaces and existence of marginally outer trapped tubes
• Quantum vacuum effects on the formation of black holes
• Exotic marginally outer trapped surfaces in rotating spacetimes of any dimension
• Evolution of black holes through a nonsingular cosmological bounce
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• Black holes without boundaries
• Marginally trapped and anti-trapped surfaces for matter evolution in D-dimensions
• Existence of gradient CKV and gradient conformally stationary LRS spacetimes
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• On the existence of marginally trapped tubes in spacetimes with local rotational symmetry
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• Apparent Horizons Associated with Dynamical Black Hole Entropy
• Ultimate fate of apparent horizons during a binary black hole merger I: Locating and understanding axisymmetric marginally outer trapped surfaces
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• Some uniqueness results for dynamical horizons
• Geometric properties of a certain class of compact dynamical horizons in locally rotationally symmetric class II spacetimes
• Surface configuration in $R+{\mu }^4/R$ gravity
• Marginal tubes and foliations by marginal surfaces
• Holographic Screen Sequestration
• Gradient conformal stationarity and the CMC condition in LRS spacetimes
• Surface gravity in spherically symmetric collapsing stars
• On some locally symmetric embedded spaces with non-negative scalar curvature and their characterization
• Scalar field collapse with negative cosmological constant
• The Interior MOTSs of Spherically Symmetric Black Holes
• Field dynamics on the trapping horizon in Vaidya spacetime
• Embedding black holes and other inhomogeneities in the universe in various theories of gravity: a short review