Optical appearance of numerical black hole solutions in higher derivative gravity

TL;DR

This paper investigates the optical appearance of numerically obtained non-Schwarzschild black hole solutions in higher derivative gravity, revealing unique features such as a repulsive potential barrier and differences in photon trajectories compared to classical black holes.

Contribution

It presents the first analysis of the optical appearance of numerical black hole solutions in higher derivative gravity, including photon trajectory simulations and flux distribution considerations.

Findings

Presence of a repulsive potential barrier affecting particle approach

Differences in optical images compared to Schwarzschild black holes

Numerical solutions exhibit unique gravitational features

Abstract

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.