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Exploring non-commutativity as a perturbation in the Schwarzschild black hole: quasinormal modes, scattering, and shadows

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F24%3A50021568" target="_blank" >RIV/62690094:18470/24:50021568 - isvavai.cz</a>

  • Result on the web

    <a href="https://link.springer.com/article/10.1140/epjc/s10052-024-12889-1?utm_source=getftr&utm_medium=getftr&utm_campaign=getftr_pilot" target="_blank" >https://link.springer.com/article/10.1140/epjc/s10052-024-12889-1?utm_source=getftr&utm_medium=getftr&utm_campaign=getftr_pilot</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1140/epjc/s10052-024-12889-1" target="_blank" >10.1140/epjc/s10052-024-12889-1</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Exploring non-commutativity as a perturbation in the Schwarzschild black hole: quasinormal modes, scattering, and shadows

  • Original language description

    In this work, by a novel approach to studying the scattering of a Schwarzschild black hole, the non-commutativity is introduced as perturbation. We begin by reformulating the Klein–Gordon equation for the scalar field in a new form that takes into account the deformed non-commutative spacetime. Using this formulation, an effective potential for the scattering process is derived. To calculate the quasinormal modes, we employ the WKB method and also utilize fitting techniques to investigate the impact of non-commutativity on the scalar quasinormal modes. We thoroughly analyze the results obtained from these different methods. Moreover, the greybody factor and absorption cross section are investigated. Additionally, we explore the behavior of null geodesics in the presence of non-commutativity. Specifically, we examine the photonic, and shadow radius as well as the light trajectories for different non-commutative parameters. Therefore, by addressing these various aspects, we aim to provide a comprehensive understanding of the influence of non-commutativity on the scattering of a Schwarzschild-like black hole and its implications for the behavior of scalar fields and light trajectories. © The Author(s) 2024.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10308 - Astronomy (including astrophysics,space science)

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2024

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    European Physical Journal C

  • ISSN

    1434-6044

  • e-ISSN

    1434-6052

  • Volume of the periodical

    84

  • Issue of the periodical within the volume

    6

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    11

  • Pages from-to

    "Article number: 566"

  • UT code for WoS article

    001239390500007

  • EID of the result in the Scopus database

    2-s2.0-85195484903