IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v150y2021ics0960077921004938.html
   My bibliography  Save this article

Fractal structures in the deflection of light by a pair of charged black holes

Author

Listed:
  • de Souza Filho, Edson E.
  • Mathias, Amanda C.
  • Viana, Ricardo L.

Abstract

The deflection of light by a pair of black holes can be considered an open conservative non-linear dynamic system. The basis of our approach is our understanding of strong gravitational lensing and the geodesic movement of light. We obtain a two-dimensional map that sets out the impact parameter and the escape angle when the light gets deflected by each black hole. Being a non-integrable system, the chaotic area-filling orbits occur in a specific parameter range. Fractal structures are related to the existence of a non-attractive invariant chaotic set. This can be seen in the dynamics of these chaotic orbits. The light-ray that enters the system has two potential defined outcomes. Either the light ray can diverge to infinity or it will fall into one of the two black holes. We describe the escape basins and their boundaries, adopting two methods: firstly the corresponding basin and basin boundary entropies and secondly the computation of the uncertainty exponents.

Suggested Citation

  • de Souza Filho, Edson E. & Mathias, Amanda C. & Viana, Ricardo L., 2021. "Fractal structures in the deflection of light by a pair of charged black holes," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    • Handle: RePEc:eee:chsofr:v:150:y:2021:i:c:s0960077921004938
    DOI: 10.1016/j.chaos.2021.111139
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077921004938
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2021.111139?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Mathias, A.C. & Kroetz, T. & Caldas, I.L. & Viana, R.L., 2017. "Chaotic magnetic field lines and fractal structures in a tokamak with magnetic limiter," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 588-598.
    2. Hansen, Matheus & da Costa, Diogo Ricardo & Caldas, Iberê L. & Leonel, Edson D., 2018. "Statistical properties for an open oval billiard: An investigation of the escaping basins," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 355-362.
    3. Mathias, A.C. & Viana, R.L. & Kroetz, T. & Caldas, I.L., 2017. "Fractal structures in the chaotic motion of charged particles in a magnetized plasma under the influence of drift waves," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 681-694.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Nieto, Alexandre R. & Seoane, Jesús M. & Sanjuán, Miguel A.F., 2021. "Final state sensitivity in noisy chaotic scattering," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    2. da Costa, Diogo Ricardo & Fujita, André & Batista, Antonio Marcos & Sales, Matheus Rolim & Szezech Jr, José Danilo, 2022. "Conservative generalized bifurcation diagrams and phase space properties for oval-like billiards," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:150:y:2021:i:c:s0960077921004938. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.