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Keyword: Vaidya spacetime ×Clear all

2 claims from 1 paper

1. Physics and Astronomy › Astrophysical Phenomena and Observations

   Analytical approach for calculating shadow of dynamical black hole

   Vertogradov and Övgün · International Journal of Geometric Methods in Modern Physics · 2025

   The paper builds a compact framework for light paths and shadows around slowly changing, spherically symmetric black holes, predicting how accretion or mass loss changes the shadow.

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   1. UncheckedFor slowly evolving black holes, the paper derives a first-order shift in photon-sphere radius and links it to the shadow via a time-dependent critical impact parameter.“In the adiabatic regime we obtain an explicit first-order shift of the photon-sphere radius, $r_{ph}(v)=r_0-a_i/(a_g'+a_c')$, and connect it to the observable shadow through the evolving critical impact parameter, $b_{\rm crit}(v)=\sqrt{r_{ph}(v)^2/f(r_{ph}(v))}$.”
   2. UncheckedFor Vaidya spacetimes, the paper's framework predicts that accretion enlarges the photon sphere and shadow angle, while mass loss shrinks them.“For Vaidya spacetimes this predicts that accretion ($\dot M>0$) expands the photon sphere and increases the shadow angle, whereas mass loss has the opposite effect.”