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Optical appearance of numerical black hole solutions in higher derivative gravity

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arxiv 2408.03387 v2 pith:UQQJLFQR submitted 2024-08-06 gr-qc

Yu-Hao Cui , Sen Guo , Yu-Xiang Huang , Yu Liang , Kai Lin This is my paper · ORCID
classification gr-qc
keywords blackholesolutionsholesopticalanalysisappearancenumerical
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The optical appearance of the numerically black hole solutions within the higher derivative gravity illuminated by an accretion disk context is discussed. We obtain solutions for non-Schwarzschild black holes with r0 = 1, r0 = 2, and r0 = 3. Further analysis of spacetime trajectories reveals properties similar to Schwarzschild black holes, while the r0 = 2 black hole exhibits significant differences. The results reveal the presence of a repulsive potential barrier for the black hole, allowing only particles with energies exceeding a certain threshold to approach it, providing a unique gravitational scenario for non-Schwarzschild black holes. Additionally, the optical images are derived through numerical simulations by discussing the trajectories of photons intheblackholespacetime.The distribution of radiation flux and the effects of gravitational redshift and Doppler shift on the observed radiation flux are considered. Interestingly, previous analyses of the optical appearance of black holes were conducted within the framework of analytic solutions, whereas the analysis of numerical black hole solutions first appears in our analysis.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Image of the time-dependent black hole

    gr-qc 2025-07 conditional novelty 4.0 of 10

    For a Vaidya black hole with linearly growing mass, the accretion disk image's bright spot shifts radially outward with the conformal time coordinate, while the observed flux in the conformal frame remains time-independent.

  2. Observable thin accretion disk around a self-dual black hole in loop quantum gravity

    gr-qc 2025-09 conditional novelty 3.0 of 10

    A self-dual loop quantum black hole is shown to look smaller and brighter than Schwarzschild in thin disk models, with the polymer parameter P bounded by Mercury and S2 star data.

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