Closest safe approach to an accreting black hole

Benjamin K. Tippett and Ivan Booth
Phys. Rev. D 90, 084027 – Published 15 October 2014

Abstract

We examine the causal and geometric horizons of dynamical black holes in Lemaitre-Tolman-Bondi collapsing dust spacetimes. Marginally trapped tubes in these spacetimes may be spacelike, timelike or null and may also be sourced from or disappear into shell-crossing singularities which we resolve with (timelike) shock waves. The event horizon kinks when it intersects a shock wave. We calculate the timelike separation between the crossable boundary (marginally trapped tubes plus connecting shock waves) and event horizon. As measured along the crossable boundary this function can have discontinuities not only in its derivative but also in the function itself. These features are closely related to the geometry of the crossable boundary. Finally, we consider the application of this work for future space explorers seeking to make the closest (nonterminal) approach to a black hole horizon.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
3 More
  • Received 15 August 2014

DOI:https://doi.org/10.1103/PhysRevD.90.084027

© 2014 American Physical Society

Authors & Affiliations

Benjamin K. Tippett*

  • Mathematics, Irving K. Barber School of Arts and Sciences, University of British Columbia-Okanagan, 3333 University Way, Kelowna, British Columbia V1V 1V7, Canada

Ivan Booth

  • Department of Mathematics and Statistics, Memorial University, St. John’s, Newfoundland and Labrador A1C 5S7, Canada

  • *ben.tippett@ubc.ca
  • ibooth@mun.ca

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 90, Iss. 8 — 15 October 2014

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×