https://arxiv.org/abs/1502.03808

close this message

Donate to arXiv

Please join the Simons Foundation and our generous member
organizations in supporting arXiv during our giving campaign
September 23-27. 100% of your contribution will fund improvements and
new initiatives to benefit arXiv's global scientific community.

DONATE

[secure site, no need to create account]

Skip to main content
Cornell University
We gratefully acknowledge support from
the Simons Foundation and member institutions.
 
arXiv.org > gr-qc > arXiv:1502.03808
[                    ]

Help | Advanced Search

[All fields        ]
Search
arXiv
Cornell University Logo
[                    ] GO
quick links

  * Login
  * Help Pages
  * About

General Relativity and Quantum Cosmology

arXiv:1502.03808 (gr-qc)
[Submitted on 12 Feb 2015 (v1), last revised 16 Feb 2015 (this
version, v2)]

Title:Gravitational Lensing by Spinning Black Holes in Astrophysics,
and in the Movie Interstellar

Authors:Oliver James, Eugenie von Tunzelmann, Paul Franklin, Kip S.
Thorne
Download PDF

    Abstract: Interstellar is the first Hollywood movie to attempt
    depicting a black hole as it would actually be seen by somebody
    nearby. For this we developed a code called DNGR (Double Negative
    Gravitational Renderer) to solve the equations for ray-bundle
    (light-beam) propagation through the curved spacetime of a
    spinning (Kerr) black hole, and to render IMAX-quality, rapidly
    changing images. Our ray-bundle techniques were crucial for
    achieving IMAX-quality smoothness without flickering.
    This paper has four purposes: (i) To describe DNGR for physicists
    and CGI practitioners . (ii) To present the equations we use,
    when the camera is in arbitrary motion at an arbitrary location
    near a Kerr black hole, for mapping light sources to camera
    images via elliptical ray bundles. (iii) To describe new
    insights, from DNGR, into gravitational lensing when the camera
    is near the spinning black hole, rather than far away as in
    almost all prior studies. (iv) To describe how the images of the
    black hole Gargantua and its accretion disk, in the movie \emph
    {Interstellar}, were generated with DNGR. There are no new
    astrophysical insights in this accretion-disk section of the
    paper, but disk novices may find it pedagogically interesting,
    and movie buffs may find its discussions of Interstellar
    interesting.

Comments:          46 pages, 17 figures
Subjects:          General Relativity and Quantum Cosmology (gr-qc);
                   High Energy Astrophysical Phenomena (astro-ph.HE)
Journal reference: Classical and Quantum Gravity 32 (2015) 065001
DOI:               10.1088/0264-9381/32/6/065001
Cite as:           arXiv:1502.03808 [gr-qc]
                   (or arXiv:1502.03808v2 [gr-qc] for this version)

Submission history

From: Kip S. Thorne [view email]
[v1] Thu, 12 Feb 2015 20:56:05 UTC (1,503 KB)
[v2] Mon, 16 Feb 2015 04:19:05 UTC (1,470 KB)
Full-text links:

Download:

  * PDF
  * Other formats

[by-nc-sa-3]
Current browse context:
gr-qc
< prev   |   next >
new | recent | 1502
Change to browse by:
astro-ph
astro-ph.HE

References & Citations

  * INSPIRE HEP
  * NASA ADS
  * Google Scholar
  * Semantic Scholar

a export bibtex citation Loading...

Bibtex formatted citation

x
[loading...          ]
Data provided by:

Bookmark

BibSonomy logo Mendeley logo Reddit logo ScienceWISE logo
(*) Bibliographic Tools

Bibliographic and Citation Tools

[ ] Bibliographic Explorer Toggle
Bibliographic Explorer (What is the Explorer?)
( ) Code & Data

Code and Data Associated with this Article

[ ] arXiv Links to Code Toggle
arXiv Links to Code & Data (What is Links to Code & Data?)
( ) Related Papers

Recommenders and Search Tools

[ ] Connected Papers Toggle
Connected Papers (What is Connected Papers?)
[ ] Core recommender toggle
CORE Recommender (What is CORE?)
( ) About arXivLabs

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and
share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have
embraced and accepted our values of openness, community, excellence,
and user data privacy. arXiv is committed to these values and only
works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community?
Learn more about arXivLabs and how to get involved.

Which authors of this paper are endorsers? | Disable MathJax (What is
MathJax?)

  * About
  * Help

  * Click here to contact arXiv Contact
  * Click here to subscribe Subscribe

  * Copyright
  * Privacy Policy

  * Web Accessibility Assistance
  * arXiv Operational Status
    Get status notifications via email or slack