Abstract/Details

Apparent horizons of N black holes and black hole rings


2009 2009

Other formats: Order a copy

Abstract (summary)

We first study systems of N Schwarzschild black holes in a time-symmetric spacelike hypersurface with axial symmetry. Apparent horizons are found by numerically solving a non linear system of 3 coupled ODEs using Mathematica. The location of the apparent horizon is calculated in each system in order to find the critical separation between the black holes that creates an encompassing apparent horizon. A method for approximating the critical separations of N black holes by representing them as an effective system of two black holes is developed. Next, we study black hole rings of different mass. The apparent horizon is used as an approximation to the event horizon in an effort to predict a critical ring radius that generates an event horizon of toroidal topology. We found that a good estimate for this ring radius is 20/(3π)M.

Indexing (details)


Subject
Mathematics;
Astrophysics;
Astronomy
Classification
0405: Mathematics
0596: Astrophysics
0606: Astronomy
Identifier / keyword
Pure sciences; Apparent horizons
Title
Apparent horizons of N black holes and black hole rings
Author
Jaramillo, Gabriela
Number of pages
59
Publication year
2009
Degree date
2009
School code
0465
Source
MAI 48/01M, Masters Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
9781109360967
Advisor
Lousto, Carlos
Committee member
Campanelli, Manuela; Zlochower, Yosef
University/institution
Rochester Institute of Technology
Department
Applied Mathematics
University location
United States -- New York
Degree
M.S.
Source type
Dissertations & Theses
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
1469243
ProQuest document ID
305071464
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
http://search.proquest.com/docview/305071464
Access the complete full text

You can get the full text of this document if it is part of your institution's ProQuest subscription.

Try one of the following:

  • Connect to ProQuest through your library network and search for the document from there.
  • Request the document from your library.
  • Go to the ProQuest login page and enter a ProQuest or My Research username / password.