Observational constraints on Yukawa cosmology and connection with black hole shadows

TL;DR

This paper tests Yukawa-modified cosmology against observational data, finds best-fit parameters, and links the model to black hole shadow observations, providing a novel connection between modified gravity and black hole imaging.

Contribution

It introduces observational constraints on Yukawa cosmology and connects it with black hole shadow measurements, offering new insights into modified gravity and black hole physics.

Findings

Yukawa cosmology fits observational data well within 1σ confidence level.

Best-fit parameters: λ ≈ 2693 Mpc, α ≈ 0.416, graviton mass ≈ 2.37×10^{-42} GeV.

Connection established between dark energy/matter parameters and black hole shadow angular radius.

Abstract

We confront Yukawa modified cosmology, proposed in arXiv:2304.11492 [Jusufi et al. arXiv:2304.11492], with data from Supernovae Type Ia (SNe Ia) and Hubble parameter (OHD) observations. Yukawa cosmology is obtained from a Yukawa-like gravitational potential, with coupling parameter $\alpha$ and wavelength parameter $\lambda$, which gives rise to modified Friedmann equations. We show that the agreement with observations is very efficient, and within $1\sigma$ confidence level we find the best-fit parameters $\lambda=\left(2693_{-1262}^{+1191}\right)\, \rm Mpc$, $\alpha=0.416_{-0.326}^{+1.137}$, and a graviton mass of $m_{g}=\left(2.374_{-0.728}^{+2.095}\right)\times 10^{-42}\, \text{GeV}$. Additionally, we establish a connection between the effective dark matter and dark energy density parameters and the angular radius of the black hole shadow of the SgrA and M87 black holes in the low-redshift limit, consistent with the Event Horizon Telescope findings.