Black hole shadow to probe modified gravity

Abstract

We study the black hole's shadow for Schwarzschild - de Sitter and Kerr - de Sitter metrics with the contribution of the cosmological constant Λ. Based on the reported parameters of the M87* black hole shadow we obtain constraints for the $\Lambda$ and show the agreement with the cosmological data. It is shown that, the coupling of the Λ-term with the spin parameter reveals peculiarities for the photon spheres and hence for the shadows. Within the parametrized post-Newtonian formalism the constraint for the corresponding Λ-determined parameter is obtained.

7 pages, Eur. Phys. J. Plus (in press)

References in corpus (5)

• Gravitational Test Beyond the First Post-Newtonian Order with the Shadow of the M87 Black Hole
• Solar system effects in Schwarzschild--de Sitter spacetime
• Kerr-de Sitter Universe
• The cosmological constant derived via galaxy groups and clusters
• Cosmological constant as a fundamental constant